# LaTeX2HTML 2002-2-1 (1.71)
# Associate images original text with physical files.


$key = q/{displaymath}mbox{dcstaff@gfd-dennou.org}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|547#547|; 

$key = q/displaystylegamma_{v}=alpha_{v}left(1-cos{frac{pi(z-z_{max}-d_{v})}{d_{v}}}right)^{3};;(z>z_{max}-d_{v}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|389#389|; 

$key = q/displaystyle+O[(Deltax)^{7}]Deqlab{u_{i,j}の差分式2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|483#483|; 

$key = q/displaystylePi^{tau+Deltatau}+betafrac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{heta}_{v}^{2}}DP{(bar{rho}bar{theta}_{v}w^{tau+Deltatau})}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|124#124|; 

$key = q/displaystyleleft[q_{{rm{NH_4SH}right]^{t+Deltat}=[q_{{rm{NH_3}]^{*}+[q_{{rm{H_2S}]^{*}-[q_{{rm{NH_3}]^{t+Deltat}-[q_{{rm{H_2S}]^{t+Deltat},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|329#329|; 

$key = q/displaystyle-betaleft(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{thetabar{c_{p}}bar{rho}bar{theta}_{v}^{2}right)_{km(w)}E_{i,km(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|417#417|; 

$key = q/displaystylePi_{im+1,k}=Pi_{im,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|103#103|; 

$key = q/1leqi(u)leqim;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|15#15|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{t+Deltatau}_{i,2}-Pi^{tau+Deltatau}_{i,1}}{Deltaz}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|408#408|; 

$key = q/displaystylePi_{-1,k}=-Pi_{1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|98#98|; 

$key = q/displaystyleDinv{bar{q}_dlangleMrangleslashM_d+sumbar{q}_vlangleMrangleslashM_v}{bar{q}_d}{bar{rho}}sumM_{fall}^{tau}+D_{q_d}^{t-Deltat}Bigg);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|130#130|; 

$key = q/displaystyle+frac{1}{4!}left[DP[4]{u}{x}right]_{i,k}left(frac{3Deltax}{2}right)^Deltax}{2}right)^{5}+cdots.Deqlab{u_{i-2(u),j}のテーラー展開};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|480#480|; 

$key = q/0leqxleqx_{max};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|382#382|; 

$key = q/N^{2}=frac{g}{overline{theta}_{v}}DP{overline{theta}_{v}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|438#438|; 

$key = q/displaystylegamma_{h}=0hspace{10em}(d_{h}leqxleqx_{max}-d_{h}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|384#384|; 

$key = q/displaystyle-frac{2}{3C_{m}^{2}l^{2}}left(DP{K_{m}^{2}}{x}right)_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|219#219|; 

$key = q/displaystyle-left{frac{3gC_{m}l}{2overline{theta_{v}}}E_{turb_{i,k}}left(DP{theta_{el}}{z}right)_{i,k(w)}right}_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|345#345|; 

$key = q/displaystyle+frac{[q_d]_{i,k(w)}langleMrangleslashM_d+sum[q_v]_{i,k(w)}langleMraangleMrangleslashM_v}gDeqlab{空間離散化されたz方向運動方程式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|59#59|; 

$key = q/displaystyleleft[DP{phi}{x}right]_{i,k(w)}equivfrac{9}{8}left(frac{phi_{i(u),k(w}left(frac{phi_{i+1(u),k(w)}-phi_{i-2(u),k(w)}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|46#46|; 

$key = q/CN_{vc},EV_{cv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|256#256|; 

$key = q/displaystyleleft(array{{cccc}A_{1}<col_mark>B_{2}<col_mark><col_mark>0<row_mark>dots<col_mark>Pi_{im,km}<row_mark>array{right)^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|170#170|; 

$key = q/(u_{i,j});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|453#453|; 

$key = q/displaystyleX=Dinv{2}left{(p_{{rm{NH_{3}}+p_{{rm{H_{2}S})pmsqrt{(p_{{rm{NH_{3}}+}S})^{2}-4(p_{{rm{NH_{3}}cdotp_{{rm{H_{2}S}-e^{K_{p}})}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|318#318|; 

$key = q/(u_{i-1(u),j});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|458#458|; 

$key = q/displaystylePi_{im+2,k}=-Pi_{im-1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|100#100|; 

$key = q/displaystylePi_{0,k}=Pi_{1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|101#101|; 

$key = q/PR_{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|284#284|; 

$key = q/i(u),k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|10#10|; 

$key = q/dS=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|288#288|; 

$key = q/displaystyleleft[q_{v}right]^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|301#301|; 

$key = q/overline{rho}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|49#49|; 

$key = q/displaystyletheta^{*}+frac{gamma([q_{v}]^{*}-q_{vsw}([theta]^{*}))}{1+gammaDP{q_{vsw}([theta]^{*})}{theta}}Deqlab{moistajst_theta1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|300#300|; 

$key = q/displaystyle+[{{rm{Turb}.E_{turb}]_{i,k}^{t-Deltat}+[{{rm{Disp}.E_{turb}]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|339#339|; 

$key = q/{displaymath}[Q_{dis}]_{i,k}^{t-Deltat}=frac{1}{{c_{p}}_{d}bar{Pi}}frac{C_{varepac{(K_{m,i,k}^{t-Deltat})^{3}}{{C_{m}}^{2}l^{4}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|275#275|; 

$key = q/displaystyle-betafrac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bar{theta}_{v}-DP{(alphaDiv)^{tau}}{z}right}+F_{w}^{t}Deltatauright}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|135#135|; 

$key = q/{displaymath}overline{rho}_{i,k}=frac{p_{0}}{langleRrangle}frac{[overline{Pi}^{lgleRrangle}]_{i,k}}{[overline{theta_{v}}]_{i,k}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|50#50|; 

$key = q/displaystyleleft(DP{(alphaDiv)^{tau}}{z}right)_{i,k(w)}-(1-beta)left(DP{Pi^{tau}t(Dinv{langlec_pranglebar{theta}_{v}}F_{w}^{t}right)_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|197#197|; 

$key = q/displaystyle+left{1+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rh}bar{theta}_{v}^{2}right)_{1(w)}right}Pi^{tau+Deltatau}_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|410#410|; 

$key = q/displaystyleleft[F_{q_{c}}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|250#250|; 

$key = q/displaystylelnp^{*}=(A-Bslash(C+T-T_{0}))*log(10.0)+ln(133.322);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|495#495|; 

$key = q/w^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|132#132|; 

$key = q/mbox{Max}(epsilon)leq1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|446#446|; 

$key = q/displaystyle+C_ml[E_{turb}^{1slash2}]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|348#348|; 

$key = q/w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|109#109|; 

$key = q/{displaymath}omega^{4}+ialpha(k^{2}+l^{2})omega^{3}-[overline{c}^{2}(k^{2}+l^{2}lphak^{2}N^{2}omega+overline{c}^{2}k^{2}N^{2}=0,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|437#437|; 

$key = q/displaystyleleft[{{rm{Disp}.E_{turb}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|354#354|; 

$key = q/displaystyle+frac{beta}{Deltaz}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pra}DP{Pi^{tau}}{x}right)_{i,km}Deltatau+H_{i,km}^{tau}Deltatau.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|168#168|; 

$key = q/t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|118#118|; 

$key = q/P_{{rm{NH_3}>P_{{rm{H_{2}S};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|322#322|; 

$key = q/{}_{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|516#516|; 

$key = q/z;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|11#11|; 

$key = q/displaystylefrac{p_{x}M_{x}(1slashM_{d}+sum_{vneqx}q_{v}slashM_{v})}{p-p_{x}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|538#538|; 

$key = q/displaystyleleft{1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_prangle{theta}_{v}^{2}right)_{km-1(w)}right}Pi^{tau+Deltatau}_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|163#163|; 

$key = q/displaystyle+left[1+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rhta}_{v}^{2}right)_{k-1(w)}right}right]Pi^{tau+Deltatau}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|400#400|; 

$key = q/k(w)=km(w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|158#158|; 

$key = q/displaystyleleft[PR_{r}right]_{i,k}^{t}=Dinv{[bar{rho}]_{i,k}}DP{}{z}([bar{rho}]_{i,k}[U_{r}]_{i,k}^{t}[q_{r}]_{i,k}^{t}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|285#285|; 

$key = q/displaystyleleft[left(DP{(alphaDiv)^{tau}}{z}right)-(1-beta)left(DP{Pi^{tau}}{z}Dinv{bar{c_{p}}bar{theta}_{v}}F_{w}^{t}right)right]_{i,km(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|412#412|; 

$key = q/q_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|258#258|; 

$key = q/displaystylew_{i(u),k(w)}equivfrac{w_{i+1,k(w)}+w_{i,k(w)}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|30#30|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k}24Deltax-frac{216}{60}left[DP[5]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|487#487|; 

$key = q/displaystyleu^{tau+(N_{tau}-1)Deltatau}_{i(u),k}-left[bar{c_{p}}bar{theta}_{v}De(alphaDiv)^{tau+(N_{tau}-1)Deltatau}}{x}right}right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|367#367|; 

$key = q/displaystyle+overline{u}_{i(u),k}left[DP{u}{x}right]_{i(u),k}^{t}+w_{i(u),k}^{t}left[DP{overline{u}}{z}right]_{i(u),k},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|209#209|; 

$key = q/displaystyleleft[F_{q_{r}}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|253#253|; 

$key = q/displaystyle+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{teltatau}_{i,k}-Pi^{tau+Deltatau}_{i,k-1}}{Deltaz}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|398#398|; 

$key = q/exp{(K_{p})}approx0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|320#320|; 

$key = q/displaystyleu_{i(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|454#454|; 

$key = q/q_{c}^{*}>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|298#298|; 

$key = q/displaystyleleft[{{rm{Turb}.E_{turb}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|351#351|; 

$key = q/Q_{cnd};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|272#272|; 

$key = q/Q_{dis};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|274#274|; 

$key = q/displaystyle+Dinv{overline{rho}_{i,k}}[M_{src}(rho_c)]_{i,k}+[D_{q_c}]_{i,k},Deqlab{quasi-equations:u-w-pi-theta:qc};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|81#81|; 

$key = q/displaystyle1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{ranglec_pranglebar{rho}bar{theta}_{v}^{2}right)_{k-1(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|173#173|; 

$key = q/displaystyleleft[q_{{rm{NH_3}right]^{t+Deltat}=[q_{{rm{NH_3}]^{*}+Deltaq_{{rm{NH_3},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|327#327|; 

$key = q/u^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|120#120|; 

$key = q/displaystyleleft[DP{u}{z}right]_{i(u),k(w)}equivfrac{9}{8}left(frac{u_{i(u),k+1}frac{1}{24}left(frac{u_{i(u),k+2}-u_{i(u),k-1}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|43#43|; 

$key = q/1leqk(w)leqkm;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|17#17|; 

$key = q/displaystylegamma_{v}=0hspace{12em}(zleqz_{max}-d_{v}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|388#388|; 

$key = q/displaystyleu_{i-1(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|460#460|; 

$key = q/displaystyle+left[CN_{cr}+CL_{cr}-EV_{rv}right]_{i,k}^{t}+left[PR_{r}right]_{i,k}^{t}Deqlab{risan:time-div_qr2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|255#255|; 

$key = q/theta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|257#257|; 

$key = q/-Deltaxslash2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|452#452|; 

$key = q/displaystyle+betaleft(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{thetat(bar{c_{p}}bar{rho}bar{theta}_{v}^{2}right)_{0(w)}E_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|411#411|; 

$key = q/displaystyles_{{rm{NH_3}+s_{{rm{H_2S};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|521#521|; 

$key = q/L_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|504#504|; 

$key = q/displaystyleDP{u}{x}+DP{w}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|431#431|; 

$key = q/displaystyle(k=2,3,cdotskm-1),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|174#174|; 

$key = q/displaystyleDeltas=RTDP{K_{p}}{T}Deqlab{react_NH4SH_DeltaS};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|524#524|; 

$key = q/displaystyle[w]^{t+Deltat}=2Deltatleft{[{{rm{Adv}.w]^{t}+cdots+left{gamma_{h}(x)+gamma_{v}(z)right}[w]^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|377#377|; 

$key = q/displaystyleDP{u_{i(u),k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|51#51|; 

$key = q/displaystyleleft[DP{phi}{z}right]_{i(u),k}equivfrac{phi_{i(u),k(w)}-phi_{i(u),k-1(w)}}{Deltaz};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|39#39|; 

$key = q/epsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|443#443|; 

$key = q/displaystyle[q_{v}]^{*}+frac{[theta]^{*}-[theta]^{t+Deltat}}{gamma},Deqlab{moistajst_qv1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|302#302|; 

$key = q/displaystyletheta_{i,k}^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|236#236|; 

$key = q/gamma;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|371#371|; 

$key = q/u_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|19#19|; 

$key = q/N_{tau}equiv2DeltatslashDeltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|364#364|; 

$key = q/l=(DeltaxDeltaz)^{1slash2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|276#276|; 

$key = q/displaystyleDeltaq_{c}=MAX{0,[q_{v}]^{*}-q_{vsw}([theta]^{*})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|296#296|; 

$key = q/displaystyle+F_{u,i(u),k}^{t}Deltatau,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|368#368|; 

$key = q/u,w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|6#6|; 

$key = q/{displaymath}omega^{2}=frac{N^{2}k^{2}}{k^{2}+l^{2}},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|439#439|; 

$key = q/phi_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|31#31|; 

$key = q/displaystyleu_{-1(u),k}=u_{im-1(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|88#88|; 

$key = q/displaystyleDP{u_{i(u),k}}{t}=-left[langlec_pranglebar{theta}_{v}DP{(Pi-alphaDiv)}{x}right]_{i(u),k}+[F_{u}]_{i(u),k}^{t},Deqlab{uwpi:u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|111#111|; 

$key = q/displaystyleleft[q_{r}right]_{i,k}^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|242#242|; 

$key = q/displaystyle2left[DP{}{z}left{left(K_{m}right)_{i,k}left(DP{w}{z}right)_{i,k}right}right]_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|221#221|; 

$key = q/displaystyle+gfrac{[q_d]_{i,k(w)}^{t}langleMrangleslashM_d+sum[q_v]_{i,k(w)}^{t}lashM_d+sum[overline{q_v}]_{i,k(w)}^{t}langleMrangleslashM_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|215#215|; 

$key = q/displaystyle+left{-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rhoheta}_{v}^{2}right)_{km-1(w)}right}Pi^{tau+Deltatau}_{i,km-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|420#420|; 

$key = q/alpha_h,alpha_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|390#390|; 

$key = q/textstyleequiv;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|149#149|; 

$key = q/displaystyle(p_{{rm{NH_{3}}-X)(p_{{rm{H_{2}S}-X)=e^{k_{p}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|316#316|; 

$key = q/displaystyle(k=1,2,cdotskm-1),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|184#184|; 

$key = q/_{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|314#314|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|489#489|; 

$key = q/displaystyleu_{i,k}equivfrac{u_{i(u),k}+u_{i-1(u),k}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|25#25|; 

$key = q/(u_{i+1(u),j},u_{i-2(u),j});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|474#474|; 

$key = q/displaystyle-overline{c}_{p}overline{theta}_{v}DP{Pi}{x}+alphaDP{D}{x},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|423#423|; 

$key = q/displaystyleDeqlab{quasi-equations:u-w-pi-theta:qv}DP{[q_c]_{i,k}}{t};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|79#79|; 

$key = q/displaystyleleft[{{rm{Turb}.{u}right]_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|216#216|; 

$key = q/displaystyle[{{rm{Adv}.E_{turb}]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|342#342|; 

$key = q/X=P_{{rm{H_{2}S};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|323#323|; 

$key = q/displaystyle+left{-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho{k-1(w)}right}Pi^{tau+Deltatau}_{i,k-1}.Deqlab{uwpi:LH_sabun};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|401#401|; 

$key = q/displaystyle1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rft(langlec_pranglebar{rho}bar{theta}_{v}^{2}right)_{km-1(w)},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|178#178|; 

$key = q/displaystyleleft[DP{Pi}{z}right]_{i,k(w)}equivfrac{Pi_{i,k+1}-Pi_{i,k}}{Deltaz};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|33#33|; 

$key = q/mu_{{rm{H_2S}^{circ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|515#515|; 

$key = q/displaystylehspace{2mm}-betaleft(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rar{theta}_{v}right)_{i,k(w)}left{w^{tau}_{i,k(w)}right.right.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|141#141|; 

$key = q/displaystyles_{{rm{NH_3}^{circ}+s_{{rm{H_2S}^{circ}-Rln(p_{{rm{NH_3}cdotp_{{rm{H_2S})+Rlnp_{0}^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|522#522|; 

$key = q/displaystyleu_{i+1(u),j}-u_{i-2(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|481#481|; 

$key = q/gamma=L_{v}slash(c_{p}Pi);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|305#305|; 

$key = q/displaystyle+frac{3}{640}left[DP[5]{u}{x}right]_{i,k}left(Deltaxright)^{4}+O[(Deltax)^{6}];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|491#491|; 

$key = q/displaystyle-frac{1}{1920}left[DP[5]{pi}{x}right]_{i(u),k}left(Deltaxright)^{4}+O[(Deltax)^{6}];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|469#469|; 

$key = q/X=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|326#326|; 

$key = q/phi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|5#5|; 

$key = q/displaystyle[U_{r}]_{i,k}^{t}=12.2([q_{r}]_{i,k}^{t})^{0.125};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|286#286|; 

$key = q/(u_{i(u),j});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|451#451|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k}3Deltax+frac{1}{3}left[DP[3]{u}{x}right]_{i0}left[DP[5]{u}{x}right]_{i,k}left(frac{3Deltax}{2}right)^{5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|482#482|; 

$key = q/K_{p};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|520#520|; 

$key = q/displaystyleoverline{theta_{v}}+theta_{v}^{'}+frac{sumLq_{v}}{{c_p}_{d}bar{pi}};;;(for;;q_{c}>0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|361#361|; 

$key = q/1(u)simim(u);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|85#85|; 

$key = q/displaystylePi^{tau}_{i,km}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_praneta}_{v}}right)_{km}left(DP{u^{tau+Deltatau}}{x}right)_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|165#165|; 

$key = q/displaystyleK_{p}=ln(p_{{rm{NH_{3}}cdotp_{{rm{H_{2}S})=61.781-frac{10834}{T}-ln{10^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|502#502|; 

$key = q/{displaymath}frac{alphaDeltatau}{mbox{Min}(Deltax^{2},Deltaz^{2})}leqfrac{1}{2}Deqlab{音波減衰項係数の条件1}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|444#444|; 

$key = q/displaystyleDlapla;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|434#434|; 

$key = q/displaystyle+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{tkm-1(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,km-1(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|416#416|; 

$key = q/{displaymath}left[DP{u}{x}right]_{i,k}=frac{9}{8}left(frac{u_{i,j}-u_{i-1,j}}{De{24}left(frac{u_{i+1,j}-u_{i-2,j}}{Deltax}right){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|493#493|; 

$key = q/displaystyle+frac{overline{langlec_srangle^2}_{i,k}}{langlec_prangle[bar{theta_v}]_{I,k}}Bigg[Dinv{bar{rho}_{i,k}}sum[M_{fall}(rho_r)]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|62#62|; 

$key = q/A,B,C;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|498#498|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{tt)_{km(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,km(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|415#415|; 

$key = q/displaystyle[q_{v}]^{*}+[q_{c}]^{*}-[q_{v}]^{t+Deltat}.Deqlab{moistajst_qc1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|304#304|; 

$key = q/displaystyle+left[{{rm{Diff}.q_{v}right]_{i,k}^{t-Deltat}+left[EV_{rv}right]_{i,k}^{t}Deqlab{risan:time-div_qv2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|249#249|; 

$key = q/displaystyle[theta]^{t+Deltat}=2Deltatleft{[{{rm{Adv}.theta]^{t}+cdots+left{gamma_{h}(x)+gamma_{v}(z)right}[theta]^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|378#378|; 

$key = q/displaystylew(i,km(w))=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|145#145|; 

$key = q/displaystyleL_{{rm{NH_4SH}=frac{10834}{T^2}{RT^{2}}=10834R;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|526#526|; 

$key = q/q_{c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|259#259|; 

$key = q/displaystyleleft[DP{w}{x}right]_{i(u),k(w)}equivfrac{9}{8}left(frac{w_{i+1,k(w)}frac{1}{24}left(frac{w_{i+2,k(w)}-w_{i-1,k(w)}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|44#44|; 

$key = q/1slashalpha_{h},1slashalpha_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|391#391|; 

$key = q/displaystylegfrac{theta_{i,k(w)}^{t}}{overline{theta}_{i,k(w)}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|214#214|; 

$key = q/alpha;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|440#440|; 

$key = q/displaystyleleft[DP{}{z}left{left(K_{h}right)_{i,k(w)}left(DP{overline{phi}}{z}right)_{i,k(w)}right}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|268#268|; 

$key = q/displaystyleu_{i,j}+left[DP{u}{x}right]_{i,k}frac{Deltax}{2}+frac{1}{2!}left[DP[3!}left[DP[3]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|455#455|; 

$key = q/displaystyle-u_{i,k}left[DP{q_d}{x}right]_{i,k}-w_{i,k}left[DP{q_d}{z}right]_{i,k}-w_{i,k}left[DP{overline{q_d}}{z}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|74#74|; 

$key = q/displaystyle+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{t_{k-1(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,k-1(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|396#396|; 

$key = q/displaystyle+Dinv{[bar{q_d}]_{i,k}langleMrangleslashM_d+sum[bar{q_v}]_{i,k}langleMrangleslashM_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|64#64|; 

$key = q/-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|463#463|; 

$key = q/displaystyleE_{i,km(w)}Deqlab{uwpi:w_sabun_joubu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|162#162|; 

$key = q/phi_{e};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|373#373|; 

$key = q/[q_{v}]^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|293#293|; 

$key = q/displaystyleDP{[q_d]_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|73#73|; 

$key = q/displaystylenu_{h}left{DP{}{x}left(DP{u}{x}right)_{i,k}right}_{i(u),k}^{t-Deltat}{z}left(DP{u}{z}right)_{i(u),k(w)}right}_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|225#225|; 

$key = q/displaystyleleft[CL_{cr}right]_{i,k}^{t}=2.2[q_{c}]_{i,k}^{t}left([bar{rho}]_{i,k}left[q_{r}right]_{i,k}^{t}right)^{0.875};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|281#281|; 

$key = q/displaystyleleft[q_{r}right]_{i,k}^{t-Deltat}+2Deltat[F_{q_{r}}]_{i,k}^{t}Deqlab{risan:time-div_qr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|243#243|; 

$key = q/*;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|291#291|; 

$key = q/(i-1(u),j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|457#457|; 

$key = q/displaystyleX=Dinv{2}left{(p_{{rm{NH_{3}}+p_{{rm{H_{2}S})pmsqrt{(p_{{rm{NH_{3}}-p_{{rm{H_{2}S})^{2}+4e^{K_{p}}}right}Deqlab{def_X_NH4SH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|319#319|; 

$key = q/displaystyle+sumfrac{langleMrangle}{M_v}Bigg(-frac{bar{q}_v}{bar{rho}}sumM_{fallau}+M_{src}^{tau}(q_v)D_{q_v}^{t-Deltat}Bigg)Bigg}Bigg]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|203#203|; 

$key = q/k=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|404#404|; 

$key = q/displaystyle+betaleft(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rho}bac_pranglebar{rho}bar{theta}_{v}^{2}right)_{km(w)}E_{i,km(w)}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|195#195|; 

$key = q/displaystylew(i,0(w))=0,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|144#144|; 

$key = q/displaystyleX^{2}-(p_{{rm{NH_{3}}+p_{{rm{H_{2}S})X+p_{{rm{NH_{3}}cdotp_{{rm{H_{2}S}-e^{k_{p}}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|317#317|; 

$key = q/displaystyleX=Dinv{2}left{(p_{{rm{NH_{3}}+p_{{rm{H_{2}S})-sqrt{(p_{{rm{NH_{3}}-p_{{rm{H_{2}S})^{2}+4e^{K_{p}}}.right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|324#324|; 

$key = q/displaystylePi^{tau}-(1-beta)frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bar{theta}_{v}^{2}}DP{(bar{rho}bar{theta}_{v}w^{tau})}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|125#125|; 

$key = q/displaystyleleft[q_{c}right]_{i,k}^{t-Deltat}+2Deltat[F_{q_{c}}]_{i,k}^{t}Deqlab{risan:time-div_qc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|241#241|; 

$key = q/displaystylePi^{tau}_{i,1}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_prangt)_{1}left{DP{(bar{rho}bar{theta}_{v}w^{tau})}{z}right}_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|189#189|; 

$key = q/displaystyle[pi]^{t+Deltat}=2Deltatleft{[{{rm{Adv}.pi]^{t}+cdots+left{gamma_{h}(x)+gamma_{v}(z)right}(pi-bar{pi})^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|375#375|; 

$key = q/displaystyleDP{[q_v]_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|76#76|; 

$key = q/Pi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|107#107|; 

$key = q/times27-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|484#484|; 

$key = q/displaystyle-left(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{theta}_{v}}rightltatau}}{x}right)_{i,k}+F_{i,k}hspace{20mm}(k=2,3,cdotskm-1),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|187#187|; 

$key = q/2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|86#86|; 

$key = q/{displaymath}left[DP{u}{x}right]_{i,k}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|449#449|; 

$key = q/displaystyleu_{i+1(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|475#475|; 

$key = q/displaystyleleft[left(DP{(alphaDiv)^{tau}}{z}right)-(1-beta)left(DP{Pi^{tau}}{z}(Dinv{bar{c_{p}}bar{theta}_{v}}F_{w}^{t}right)right]_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|402#402|; 

$key = q/displaystyleDP{w}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|424#424|; 

$key = q/{figure}center{Depsf[120mm]{psslashkoushi.eps}center{{{Dfiglab{koushi}{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|8#8|; 

$key = q/Deltax,Deltaz;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|232#232|; 

$key = q/pmDelta3xslash2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|473#473|; 

$key = q/displaystyle-frac{overline{c}^{2}}{overline{c}_{p}overline{rho}overline{theta}_{eta}_{v}u}{x}+DP{overline{rho}overline{theta}_{v}w}{z}right],;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|427#427|; 

$key = q/displaystyle-u_{i,k(w)}left[DP{w}{x}right]_{i,k(w)}-w_{i,k(w)}left[DP{w}{z}right]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|56#56|; 

$key = q/displaystyleleft[q_{v}right]_{i,k}^{t-Deltat}+2Deltat[F_{q_{v}}]_{i,k}^{t}Deqlab{risan:time-div_qv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|239#239|; 

$key = q/displaystyle-frac{2}{3}[E_{turb}]_{i,k}^{t-Deltat}left{left(DP{u}{x}right)_{i,k}^{t-Deltat}+left(DP{w}{z}right)_{i,k}^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|350#350|; 

$key = q/displaystylex_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|545#545|; 

$key = q/mu_{{rm{NH_3}^{circ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|514#514|; 

$key = q/displaystyleu_{0(u),k}=u_{im(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|87#87|; 

$key = q/displaystyle[F_{u}]_{i(u),k}^{t}=-left[{{rm{Adv}.{u}right]_{i(u),k}^{t}+left[{{rt}+left[{{rm{Diff}.uright]_{i(u),k}^{t-Deltat}Deqlab{uwpi:Fu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|116#116|; 

$key = q/displaystyle2left[DP{}{x}left{left(K_{m}right)_{i,k}left(DP{u}{x}right)_{i,k}right}right]_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|217#217|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{tght)_{k(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,k(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|395#395|; 

$key = q/displaystyle-left(overline{u}DP{Pi^{tau}}{x}right)_{i,k}Deltatau+H_{i,k}^{tau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|202#202|; 

$key = q/displaystyleDeqlab{空間離散化された圧力方程式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|67#67|; 

$key = q/displaystyle-frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{theta}_{v}}DP{u^{tau+{x}-overline{u}DeltatauDP{Pi^{tau}}{x}+H_{i,k}^{tau}Deltatau.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|126#126|; 

$key = q/u,Pi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|108#108|; 

$key = q/displaystyleleft[DP{phi}{z}right]_{i(u),k}equivfrac{9}{8}left(frac{phi_{i(u),k(w}left(frac{phi_{i(u),k+1(w)}-phi_{i(u),k-2(w)}}{Deltaz}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|47#47|; 

$key = q/displaystylenu_{h}=frac{alpha_{h}Deltax^{2}}{Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|230#230|; 

$key = q/F;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|235#235|; 

$key = q/displaystyleK_{p}equivln(p_{{rm{NH_{3}}cdotp_{{rm{H_{2}S})=61.781-frac{10834}{T}-ln{10^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|312#312|; 

$key = q/displaystylenu_{h}left{DP{}{x}left(DP{phi}{x}right)_{i(u),k}right}_{i,k}^{t-Delt{DP{}{z}left(DP{phi}{z}right)_{i,k(w)}right}_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|270#270|; 

$key = q/displaystyletheta_{el};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|359#359|; 

$key = q/displaystyle+sumfrac{langleMrangle}{M_v}Bigg(-frac{bar{q}_v}{bar{rho}}sumM_{fall{tau}(q_v)D_{q_v}^{t-Deltat}Bigg)Bigg}Bigg]_{i,k}Deqlab{Hdef};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|131#131|; 

$key = q/displaystyleleft[{{rm{Shear}.K_mright]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|346#346|; 

$key = q/displaystyle+left[DP{}{z}left{left(K_{m}right)_{i(u),k(w)}left(DP{w}{x}right)_{ift(DP{u}{z}right)_{i(u),k(w)}right}right]_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|218#218|; 

$key = q/displaystyleleft[{{rm{Adv}.{u}right]_{i(u),k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|207#207|; 

$key = q/d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|527#527|; 

$key = q/displaystyleB_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|179#179|; 

$key = q/displaystylealpha_{h}leDinv{8},hspace{3em}alpha_{v}leDinv{8}Deqlab{nu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|234#234|; 

$key = q/displaystyle-wDP{overline{theta}_{v}}{z},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|429#429|; 

$key = q/displaystyle-frac{2}{3C_{m}^{2}l^{2}}left(DP{K_{m}^{2}}{z}right)_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|223#223|; 

$key = q/displaystyleleft[DP{u}{z}right]_{i(u),k(w)}equivfrac{u_{i(u),k+1}-u_{i(u),k}}{Deltaz};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|35#35|; 

$key = q/displaystyleleft[{{rm{Diff}_{phi}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|269#269|; 

$key = q/displaystyle-left[{{rm{Adv}.q_{v}right]_{i,k}^{t}-left[{{rm{Adv}.bar{q_{v}}right^{t-Deltat}+left[{{rm{Turb}.bar{q_{v}}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|248#248|; 

$key = q/u_{i,j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|459#459|; 

$key = q/Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|4#4|; 

$key = q/w,Pi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|105#105|; 

$key = q/displaystyleleft[q_{c}right]_{i,k}^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|240#240|; 

$key = q/gamma=L_{{rm{NH_4SH}slash({c_{p}}_{d}Pi);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|331#331|; 

$key = q/alphaDiv;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|114#114|; 

$key = q/displaystyle-left[CN_{cr}+CL_{cr}right]_{i,k}^{t}Deqlab{risan:time-div_qc2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|252#252|; 

$key = q/displaystyle=left(array{{cccc}D_{1,1}<col_mark>D_{2,1}<col_mark>cdots<col_mark>Dol_mark>cdots<col_mark>D_{im,km}<row_mark>array{right)^{tau}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|171#171|; 

$key = q/displaystyleDP{theta_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|70#70|; 

$key = q/displaystyleleft[DP{w}{z}right]_{i,k}equivfrac{9}{8}left(frac{w_{i,k(w)}-w_{i,k-frac{1}{24}left(frac{w_{i,k+1(w)}-w_{i,k-2(w)}}{Deltaz}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|45#45|; 

$key = q/_{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|501#501|; 

$key = q/displaystyleDeqlab{uwpi:pi_sabun};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|127#127|; 

$key = q/q_{c}^{t+Deltat}<0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|307#307|; 

$key = q/X;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|315#315|; 

$key = q/displaystyleF_{u,i(u),k}^{t}=-left[{{rm{Adv}.uright]_{i(u),k}^{t}+left[{{rm{Turb+left[{{rm{Diff}.uright]_{i(u),k}^{t-Deltat},Deqlab{uwpi:Fu2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|204#204|; 

$key = q/{eqnarraystar}mbox{Max}(epsilon)&=&frac{2alpha}{mbox{Min}(Deltax,Deltaz)overlineeltatau}{mbox{Min}(Deltax,Deltaz)}right.{eqnarraystar};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|445#445|; 

$key = q/displaystyleD_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|188#188|; 

$key = q/1leqileqim;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|16#16|; 

$key = q/q_{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|260#260|; 

$key = q/displaystyleleft[left{left(DP{u}{z}right)_{i(u),k(w)}right}_{i,k}^{t-Deltat}+left(DP{w}{x}right)_{i(u),k(w)}right}_{i,k}^{t-Deltat}right]^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|349#349|; 

$key = q/displaystylefrac{9}{8}left(frac{u_{i,j}-u_{i-1,j}}{Deltax}right)-frac{1}{24}left(frac{u_{i+1,j}-u_{i-2,j}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|490#490|; 

$key = q/displaystyle+overline{u}_{i,k(w)}left[DP{w}{x}right]_{i,k(w)}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|212#212|; 

$key = q/s_{{rm{NH_3}^{circ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|518#518|; 

$key = q/C_{varepsilon}=C_{m}=0.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|356#356|; 

$key = q/displaystyle-DP{mu_{{rm{NH_4SH}}{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|511#511|; 

$key = q/displaystyleleft[{{rm{Diff}.uright]_{i(u),k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|224#224|; 

$key = q/bar{pi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|379#379|; 

$key = q/{displaymath}frac{alphaDeltatau}{mbox{Min}(Deltax^{2},Deltaz^{2})}leqfrac{1}{2}fin}(Deltax,Deltaz)}Deqlab{音波減衰項係数の条件2}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|447#447|; 

$key = q/displaystyleA_{km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|177#177|; 

$key = q/displaystyleDeqlab{uwpi:Fw2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|206#206|; 

$key = q/displaystyle-u_{i,k}left[DP{theta}{x}right]_{i,k}-w_{i,k}left[DP{theta}{z}right]_{i,k}-w_{i,k}left[DP{overline{theta}}{z}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|71#71|; 

$key = q/1leqkleqkm;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|18#18|; 

$key = q/displaystyle+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{ttatau}_{i,km}-Pi^{tau+Deltatau}_{i,km-1}}{Deltaz}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|418#418|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k}Deltax+frac{1}{3}left[DP[3]{u}{x}right]_{i,60}left[DP[5]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|465#465|; 

$key = q/displaystyle+Dinv{overline{rho}_{i,k}}[M_{fall}(rho_r)]_{i,k}+Dinv{overline{rho}D_{q_r}]_{i,k}.Deqlab{quasi-equations:u-w-pi-theta:qr};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|84#84|; 

$key = q/displaystyle-[{{rm{Adv}.E_{turb}]_{i,k}^{t}+[{{rm{Buoy}.E_{turb}]_{i,k}^{t-Deltat}+[{{rm{Shear}.E_{turb}]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|338#338|; 

$key = q/displaystylePi^{tau}-(1-beta)frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bltatau}{langlec_pranglebar{theta}_{v}}DP{u^{tau+Deltatau}}{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|134#134|; 

$key = q/displaystylePi_{i(u),k(w)}equivfrac{Pi_{i,k}+Pi_{i+1,k}+Pi_{i,k+1}+Pi_{i+1,k+1}}{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|24#24|; 

$key = q/displaystyle[F_{E_{turb}}]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|337#337|; 

$key = q/displaystyleleft{1+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho{theta}_{v}^{2}right)_{km-1(w)}right}Pi^{tau+Deltatau}_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|419#419|; 

$key = q/displaystyleu_{im+2(u),k}=u_{2(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|90#90|; 

$key = q/[q_c]^{t+Deltat}>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|306#306|; 

$key = q/[q_{c}]^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|294#294|; 

$key = q/displaystyleDD{p_{v}}{T}=frac{p_{v}L_{v}}{RT^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|503#503|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{teltatau}_{i,k+1}-Pi^{tau+Deltatau}_{i,k}}{Deltaz}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|397#397|; 

$key = q/omega;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|442#442|; 

$key = q/[q_{r}]^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|295#295|; 

$key = q/textstyle=;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|52#52|; 

$key = q/displaystyleoverline{langlec_srangle}_{i,k}^{2}=frac{langlec_pranglelangleRranglglec_{v}rangle}overline{Pi}_{i,k}[overline{theta_{v}}]_{i,k}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|69#69|; 

$key = q/displaystylePi^{tau}_{i,1}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_prangtheta}_{v}}right)_{1}left(DP{u^{tau+Deltatau}}{x}right)_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|153#153|; 

$key = q/displaystyle2C_ml[E_{turb}^{1slash2}]_{i,k}^{t-Deltat}left{left[left(DP{u}{x}rigat}+left[left(DP{w}{z}right)^{2}right]_{i,k}^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|347#347|; 

$key = q/_4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|509#509|; 

$key = q/displaystyleDP{w_{i,k(w)}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|55#55|; 

$key = q/displaystyleDP{[q_r]_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|82#82|; 

$key = q/displaystyles_{{rm{NH_3}^{circ}+s_{{rm{H_2S}^{circ}-RTDP{K_{p}}{T}-RK_{p}+Rln{p_{0}}^{2}Deqlab{react_NH4SH_left};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|513#513|; 

$key = q/displaystylenu_{v}=frac{alpha_{v}Deltaz^{2}}{Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|231#231|; 

$key = q/[theta]^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|292#292|; 

$key = q/displaystyleL_{{rm{NH_4SH}=TDeltas=RT^{2}DP{K_{p}}{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|525#525|; 

$key = q/d_{h},d_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|392#392|; 

$key = q/u=hat{u}e^{i(kx+lz-omegat)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|436#436|; 

$key = q/displaystyle-overline{c}_{p}overline{theta}_{v}DP{Pi}{z}+alphaDP{D}{z}+gfrac{theta}{overline{theta}_{v}},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|425#425|; 

$key = q/k(w)=0(w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|146#146|; 

$key = q/displaystyleA_{1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|175#175|; 

$key = q/displaystyleu^{tau+Deltatau}_{i(u),k}=u^{tau}_{i(u),k}-left[langlec_pranglebar{t}right]_{i(u),k}+F_{u,i(u),k}^{t}DeltatauDeqlab{uwpi:u_sabun};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|119#119|; 

$key = q/displaystyletheta_{i,k}^{t-Deltat}+2Deltat[F_{theta}]_{i,k}^{t}Deqlab{risan:time-div_theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|237#237|; 

$key = q/displaystyle+frac{1}{4!}left[DP[4]{u}{x}right]_{i,k}left(frac{3Deltax}{2}right)^Deltax}{2}right)^{5}+cdots.Deqlab{u_{i+1(u),j}のテーラー展開};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|477#477|; 

$key = q/displaystyleDP{u}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|422#422|; 

$key = q/displaystyleC_{m}lleft{DP{}{x}left[[E_{turb}^{1slash2}]_{i,k}left(DP{E_{turb}}{x}right)_{i(u),k}right]right}_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|352#352|; 

$key = q/displaystyleu^{*}_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|366#366|; 

$key = q/_3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|334#334|; 

$key = q/displaystyle+frac{1}{4!}left[DP[4]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{c{Deltax}{2}right)^{5}+cdots.Deqlab{u_{i(u),j}のテーラー展開};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|456#456|; 

$key = q/displaystyleu_{im+1(u),k}=-u_{im-1(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|95#95|; 

$key = q/displaystyle+left{1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_prangl}bar{theta}_{v}^{2}right)_{1(w)}right}Pi^{tau+Deltatau}_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|152#152|; 

$key = q/[Q_{rad}]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|277#277|; 

$key = q/Deltaq_{{rm{NH_3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|332#332|; 

$key = q/displaystyleleft[{{rm{Adv}.{bar{phi}}right]_{i,k}^{t}=left[w_{i,k(w)}left[DP{overline{phi}}{z}right]_{i,k(w)}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|263#263|; 

$key = q/R_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|506#506|; 

$key = q/displaystyleleft[DP{w}{z}right]_{i,k}equivfrac{w_{i,k(w)}-w_{i,k-1(w)}}{Deltaz};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|37#37|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rh}left(langlec_pranglebar{rho}bar{theta}_{v}^{2}right)_{k(w)},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|183#183|; 

$key = q/displaystyleE_{i,0(w)}Deqlab{uwpi:w_sabun_kabu2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|403#403|; 

$key = q/{}_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|517#517|; 

$key = q/displaystyle(k=2,3,cdotskm),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|181#181|; 

$key = q/displaystylefrac{q_{x}}{M_{x}(1slashM_{d}+sum_{v}q_{v}slashM_{v})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|546#546|; 

$key = q/displaystyleX={{rm{min}(P_{{rm{NH_3},P_{{rm{H_{2}S});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|321#321|; 

$key = q/displaystyleA_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|172#172|; 

$key = q/displaystyle-left(langlec_pranglebar{theta}_{v}right)_{i,k(w)}Deltatauleft{(1-be,k(w)}+left(F_{w}^{t}right)_{i,k(w)}DeltatauBigg}Bigg]_{i,k}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|201#201|; 

$key = q/displaystyleu_{i-2(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|478#478|; 

$key = q/nu_{h},nu_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|229#229|; 

$key = q/displaystylePi^{tau+Deltatau}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|394#394|; 

$key = q/displaystylePi_{im+1,k}=-Pi_{im,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|99#99|; 

$key = q/displaystyle1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{r}left(langlec_pranglebar{rho}bar{theta}_{v}^{2}right)_{1(w)},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|176#176|; 

$key = q/mu_{vapar}=mu_{condensedphase};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|289#289|; 

$key = q/displaystyleleft[thetaright]^{t+Deltat}=[theta]^{*}-gamma[q_{c}]^{*},Deqlab{moistajst_theta2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|308#308|; 

$key = q/displaystyleleft[F_{w}right]_{i,k(w)}^{t}=-left[{{rm{Adv}.{w}right]_{i,k(w)}^{t}.+left[{{rm{Diff}.wright]_{i,k(w)}^{t-Deltat}.Deqlab{uwpi:Fw};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|117#117|; 

$key = q/displaystylePi^{tau+Deltatau}-beta^{2}frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_ptheta}_{v}^{2}right)left(DP{Pi^{tau+Deltatau}}{z}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|133#133|; 

$key = q/displaystyleleft[q_{c}right]^{t+Deltat}=0Deqlab{moistajst_qc2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|310#310|; 

$key = q/displaystyleF_{w,i,k(w)}^{t}=-left[{{rm{Adv}.wright]_{i(u),k}^{t}+left[{{rm{Buoyk(w)}^{t-Deltat}+left[{{rm{Diff}.wright]_{i,k(w)}^{t-Deltat}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|205#205|; 

$key = q/displaystyleD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|430#430|; 

$key = q/displaystyleDeqref{uwpi:sabun}mbox{leftside};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|393#393|; 

$key = q/displaystyle-frac{[overline{q_v}]_{i,k}}{overline{rho}_{i,k}}sum[M_{fall}(rho_r)src}(rho_v)]_{i,k}+[D_{overline{q_v}}]_{i,k}+[D_{q_v}]_{i,k},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|78#78|; 

$key = q/displaystyleH_{i,k}^{tau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|128#128|; 

$key = q/displaystylehspace{10mm}+left[1+beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{lata}_{v}^{2}right)_{k-1(w)}right}right]Pi^{tau+Deltatau}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|138#138|; 

$key = q/displaystyle+[Q_{cnd}]_{i,k}^{t}+[Q_{rad}]_{i,k}^{t-Deltat}+[Q_{dis}]_{i,k}^{t-Deltat}Deqlab{Ftheta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|246#246|; 

$key = q/{displaymath}left|frac{3}{640}left[DP[5]{u}{x}right]_{i(u),k}left(Deltaxright)^{4}right|{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|494#494|; 

$key = q/displaystyleleft[DP{Pi}{x}right]_{i(u),k}equivfrac{Pi_{i+1,k}-Pi_{i,k}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|32#32|; 

$key = q/displaystyle-u_{i,k}left[DP{q_r}{x}right]_{i,k}-w_{i,k}left[DP{q_r}{z}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|83#83|; 

$key = q/T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|313#313|; 

$key = q/_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|335#335|; 

$key = q/displaystyle-u_{i,k}left[DP{q_v}{x}right]_{i,k}-w_{i,k}left[DP{q_v}{z}right]_{i,}{x}right]_{i,k}-w_{i,k}left[DP{overline{q_v}}{z}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|77#77|; 

$key = q/u^{t+Deltat}_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|365#365|; 

$key = q/displaystyles_{{rm{NH_3}^{circ}+s_{{rm{H_2S}^{circ}-RlnK_{p}+Rlnp_{0}^{2}Deqlab{react_NH4SH_right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|523#523|; 

$key = q/F_{u},F_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|115#115|; 

$key = q/F_{E_{turb}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|341#341|; 

$key = q/(Deltax)^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|485#485|; 

$key = q/displaystyleleft(frac{langleMrangle}{M_d}overline{q_d}+sumfrac{langleMrangle}{M_}{M_d}q_d+sumfrac{langleMrangle}{M_v}q_vright)overline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|363#363|; 

$key = q/displaystylefrac{p_{x}M_{x}(1slashM_{d}+sum_{vneqx}q_{v}slashM_{v})}{p_{0}pi^{{c_{p}}_{d}slashR_{d}}-p_{x}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|539#539|; 

$key = q/displaystyles_{{rm{NH_4SH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|510#510|; 

$key = q/p_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|530#530|; 

$key = q/displaystyleC_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|182#182|; 

$key = q/displaystyle-betaleft(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rho}ba{u}DP{Pi^{tau}}{x}right)_{i,1}Deltatau+H_{i,1}^{tau}Deltatau.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|156#156|; 

$key = q/K_{h};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|271#271|; 

$key = q/{figure}center{Depsf[120mm]{psslashnum.eps}center{{{Dfiglab{num}{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|9#9|; 

$key = q/displaystylefrac{bar{c_s}^{2}}{langlec_pranglebar{theta}_v}Bigg[Dinv{bar{rho}}su^{tau}+Q_{rad}^{tau}+Q_{dis}^{tau})+D_{theta}^{t-Deltat}Bigg};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|129#129|; 

$key = q/displaystyle-frac{overline{langle{c_{s}}rangle^{2}}_{i,k}}{langlec_pranglebar{rh2}]_{i,k}}[Ddivleft(bar{rho}bar{theta_v}Dvect{u}right)]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|61#61|; 

$key = q/T_{0}=273.15;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|497#497|; 

$key = q/displaystyleoverline{theta_{v}}+theta_{v}^{'};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|362#362|; 

$key = q/displaystyleleft[DP{pi}{x}right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|467#467|; 

$key = q/displaystylePi^{tau+Deltatau}_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|405#405|; 

$key = q/displaystyleq_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|531#531|; 

$key = q/displaystyleDP{Pi_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|60#60|; 

$key = q/displaystyleleft[{{rm{Turb}.{phi}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|264#264|; 

$key = q/displaystyle-left(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{theta}_{v}}right)_{km}left(DP{u^{tau+Deltatau}}{x}right)_{i,km}+F_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|194#194|; 

$key = q/i,k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|13#13|; 

$key = q/displaystylebetaleft(DP{Pi^{tau+Deltatau}}{z}right)_{i,km(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|159#159|; 

$key = q/left(Deltaxright)^{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|492#492|; 

$key = q/displaystyle+O[(Deltax)^{7}]Deqlab{u_{i,j}の差分式3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|488#488|; 

$key = q/displaystyleq_{x}left(1-frac{p_{x}}{p}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|535#535|; 

$key = q/Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1#1|; 

$key = q/displaystyleu_{i,j}+left[DP{u}{x}right]_{i,k}frac{3Deltax}{2}+frac{1}{2!}left[DP!}left[DP[3]{u}{x}right]_{i,k}left(frac{3Deltax}{2}right)^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|476#476|; 

$key = q/displaystylePi_{i,k(w)}equivfrac{Pi_{i,k+1}+Pi_{i,k}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|23#23|; 

$key = q/displaystylePi_{-1,k}=Pi_{1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|102#102|; 

$key = q/(i,j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|448#448|; 

$key = q/t-Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|340#340|; 

$key = q/displaystyleE_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|196#196|; 

$key = q/displaystyle-frac{C_{varepsilon}}{l}left(E_{turb}^{3slash2}right)_{i,k}^{t-Deltat}Deqlab{TurbE_risan};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|355#355|; 

$key = q/displaystyleu_{i,j}-left[DP{u}{x}right]_{i,k}frac{3Deltax}{2}+frac{1}{2!}left[DP!}left[DP[3]{u}{x}right]_{i,k}left(frac{3Deltax}{2}right)^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|479#479|; 

$key = q/displaystyleu_{i,k(w)}equivfrac{u_{i(u),k+1}+u_{i-1(u),k+1}+u_{i(u),k}+u_{i-1(u),k}}{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|26#26|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{tght)_{1(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,1(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|406#406|; 

$key = q/CL_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|279#279|; 

$key = q/displaystyleDP{phi}{t}=-{{rm{Adv}.phi+cdots+gamma_{h}(x)(phi-phi_{e})+gamma_{v}(z)(phi-phi_{e});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|372#372|; 

$key = q/displaystylefrac{rho_{x}}{rho_{d}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|532#532|; 

$key = q/gamma_{h},gamma_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|380#380|; 

$key = q/displaystyleoverline{theta_{v}}+theta_{v}^{'};;;(for;;q_{c}=0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|360#360|; 

$key = q/displaystyle-u_{i,k}left[DP{q_c}{x}right]_{i,k}-w_{i,k}left[DP{q_c}{z}right]_{i,e{q_c}]_{i,k}}{overline{rho}_{i,k}}sum[M_{fall}(rho_r)]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|80#80|; 

$key = q/displaystyleD_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|192#192|; 

$key = q/displaystyleu_{i(u),k(w)}equivfrac{u_{i(u),k+1}+u_{i(u),k}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|27#27|; 

$key = q/displaystylePi_{i(u),k}equivfrac{Pi_{i+1,k}+Pi_{i,k}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|22#22|; 

$key = q/displaystylePi^{tau+Deltatau}_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|414#414|; 

$key = q/displaystyleleft[{{rm{Turb}.{w}right]_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|220#220|; 

$key = q/displaystyleL_{v}=left{frac{Bln(10.0)}{(C+T-T_{0})^{2}}right}R_{v}T^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|507#507|; 

$key = q/mu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|290#290|; 

$key = q/displaystyleleft[thetaright]^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|299#299|; 

$key = q/p^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|496#496|; 

$key = q/displaystyle-left[{{rm{Adv}.{theta}right]_{i,k}^{t}-left[{{rm{Adv}.{bar{theta}}r,k}^{t-Deltat}+left[{{rm{Diff}.{theta}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|245#245|; 

$key = q/displaystyleleft[EV_{rv}right]_{i,k}^{t}=4.85times10^{-2}([q_{vsw}]_{i,k}^{t}-[q_{v}]_{i,k}^{t})([bar{rho}]_{i,k}[q_{r}]_{i,k}^{t})^{0.65};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|283#283|; 

$key = q/displaystylebetaleft(DP{Pi^{tau+Deltatau}}{z}right)_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|147#147|; 

$key = q/displaystyle[{{rm{Buoy}]^{t}_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|213#213|; 

$key = q/displaystyle{{rm{NH_{3}}+{{rm{H_{2}S}rightarrow{{rm{NH_{4}SH}Deqlab{react_NH4SH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|508#508|; 

$key = q/displaystyle{{rm{NH_{3}}+{{rm{H_{2}S}rightarrow{{rm{NH_{4}SH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|311#311|; 

$key = q/displaystyleleft[q_{c}right]^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|303#303|; 

$key = q/displaystyle-DP{}{T}left(mu_{{rm{NH_3}^{circ}+mu_{{rm{H_2S}^{circ}+RTK_{p}-RTln{p_{0}}^{2}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|512#512|; 

$key = q/displaystyle-langlec_prangle[overline{theta_{v}}]_{i(u),k}left[DP{Pi}{x}right]_{t[D_{u}right]_{i(u),k}Deqlab{空間離散化されたx方向運動方程式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|54#54|; 

$key = q/displaystyleleft[DP{}{x}left{left(K_{h}right)_{i(u),k}left(DP{phi}{x}right)_{i(u),k}right}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|265#265|; 

$key = q/displaystyleu_{i(u),j}-u_{i-1(u),j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|464#464|; 

$key = q/displaystyle+Dinv{bar{theta}_{i,k}}left{Dinv{bar{Pi}_{i,k}}([Q_{cond}]_{i,k}+[Q_{rad}]_{i,k}+[Q_{dis}]_{i,k})+[D_{theta}]_{i,k}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|63#63|; 

$key = q/displaystyleleft[{{rm{Diff}.wright]_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|226#226|; 

$key = q/-1leqkleqkm+2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|92#92|; 

$key = q/displaystyleleft[DP{phi}{x}right]_{i,k(w)}equivfrac{phi_{i(u),k(w)}-phi_{i-1(u),k(w)}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|38#38|; 

$key = q/displaystylefrac{q_{x}p_{0}pi^{{c_{p}}_{d}slashR_{d}}}{M_{x}(1slashM_{d}+sum_{v}q_{v}slashM_{v})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|544#544|; 

$key = q/Deltaq_{c}>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|297#297|; 

$key = q/displaystylefrac{pi_{i+1,j}-pi_{i,j}}{Deltax}-frac{1}{24}left[DP[3]{pi}{x}right]_{i(u),k}left(Deltaxright)^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|468#468|; 

$key = q/displaystyle+gfrac{theta_{i,k(w)}}{overline{theta}_{i,k(w)}}g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|58#58|; 

$key = q/_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|500#500|; 

$key = q/displaystyle+left{-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_prangleheta}_{v}^{2}right)_{km-1(w)}right}Pi^{tau+Deltatau}_{i,km-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|164#164|; 

$key = q/displaystylePi_{0,k}=-Pi_{1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|97#97|; 

$key = q/displaystyleDP{w_{i,k(w)}}{t}=-left[langlec_pranglebar{theta}_{v}DP{(Pi-alphaDiv)}{z}right]_{i,k(w)}+[F_{w}]_{i,k(w)}^{t},Deqlab{uwpi:w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|112#112|; 

$key = q/d_{h};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|381#381|; 

$key = q/displaystyle-betaleft(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bar{theta}_{v}^{2}}right)_{1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|154#154|; 

$key = q/displaystyleleft[DP{}{z}bar{rho}bar{theta}_{v}left{w^{tau}-langlec_pranglebar{thalphaDiv)^{tau}}{z}right}+F_{w}^{t}Deltatauright}right]_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|155#155|; 

$key = q/Pi_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|21#21|; 

$key = q/EV_{rv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|282#282|; 

$key = q/displaystyle+left[DP{}{x}left{left(K_{m}right)_{i(u),k(w)}left(DP{w}{x}right)_{ift(DP{u}{z}right)_{i(u),k(w)}right}right]_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|222#222|; 

$key = q/displaystyleleft[F_{q_{v}}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|247#247|; 

$key = q/displaystyle[u]^{t+Deltat}=2Deltatleft{[{{rm{Adv}.u]^{t}+cdots+left{gamma_{h}(x)+gamma_{v}(z)right}[u]^{t-Deltat}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|376#376|; 

$key = q/displaystyle-left[{{rm{Adv}.q_{r}right]_{i,k}^{t}+left[{{rm{Turb}.q_{r}right]_{i,k}^{t-Deltat}+left[{{rm{Diff}.q_{c}right]^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|254#254|; 

$key = q/w,pi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|3#3|; 

$key = q/0leqzleqz_{max};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|387#387|; 

$key = q/(i(u),j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|450#450|; 

$key = q/displaystyleleft[DP{Pi}{x}right]_{i(u),k}equivfrac{9}{8}left(frac{Pi_{i+1,k}-Pi_ht)-frac{1}{24}left(frac{Pi_{i+2,k}-Pi_{i-1,k}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|40#40|; 

$key = q/displaystyle-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rheft(langlec_pranglebar{rho}bar{theta}_{v}^{2}right)_{k-1(w)},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|180#180|; 

$key = q/i(u),k(w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|14#14|; 

$key = q/displaystylegamma_{h}=alpha_{h}left(1-frac{x}{d_{h}}right)^{3}hspace{5em}(x<d_{h}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|383#383|; 

$key = q/displaystyle-overline{c}_{p}overline{theta}_{v}DlaplaPi+gDP{}{z}left(frac{theta}v}}right)+alphaDlaplaD,Deqlab{音波減衰項を含む線形発散方程式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|433#433|; 

$key = q/overline{langlec_srangle};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|68#68|; 

$key = q/displaystyleleft[q_{v}right]^{t+Deltat},=[q_{v}]^{*}+[q_{c}]^{*}Deqlab{moistajst_qv2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|309#309|; 

$key = q/displaystyle[F_{theta}]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|244#244|; 

$key = q/{displaymath}left[DP{u}{x}right]_{i(u),k}=frac{u_{i+1,j}-u_{i,j}}{Deltax}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|471#471|; 

$key = q/displaystyle[E_{turb}]_{i,k}^{t+Deltat}=[E_{turb}]_{i,k}^{t-Deltat}+2Deltat[F_{E_{turb}}]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|336#336|; 

$key = q/displaystyleu_{i(u),k}^{t}left[DP{u}{x}right]_{i(u),k}^{t}+w_{i(u),k}^{t}left[DP{u}{z}right]_{i(u),k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|208#208|; 

$key = q/displaystyle-betaleft(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bar{theta}_{v}^{2}}right)_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|199#199|; 

$key = q/displaystyleleft(DP{(alphaDiv)^{tau}}{z}right)_{i,0(w)}-(1-beta)left(DP{Pi^{tau}t(Dinv{langlec_pranglebar{theta}_{v}}F_{w}^{t}right)_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|148#148|; 

$key = q/displaystyleleft[u_{i(u),k}left[DP{phi}{x}right]_{i(u),k}right]_{i,k}^{t}+left[w_{i,k(w)}left[DP{phi}{z}right]_{i,k(w)}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|262#262|; 

$key = q/displaystylew_{i(u),k}equivfrac{w_{i+1,k(w)}+w_{i,k(w)}+w_{i+1,k-1(w)}+w_{i,k-1(w)}}{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|29#29|; 

$key = q/{displaymath}[Q_{cnd}]_{i,k}^{t}=-left[frac{L}{{c_{p}bar{Pi}}_{d}bar{Pi}}EV_{rv}}^{t})(bar{rho}_{i,k}[q_{r}]_{i,k})^{0.65}right}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|273#273|; 

$key = q/displaystyleleft[DP{w}{x}right]_{i(u),k(w)}equivfrac{w_{i+1,k(w)}-w_{i,k(w)}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|36#36|; 

$key = q/displaystyle-betaleft(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{rho}bar{theta}_{v}^{2}}right)_{km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|166#166|; 

$key = q/F_u,F_w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|110#110|; 

$key = q/displaystyle+sumfrac{langleMrangle}{M_v}left(-frac{[bar{q_v}]_{i,k}}{bar{rho}_{i]_{i,k}+[M_{src}(q_v)]_{i,k}+[D_{q_v}]_{i,k}right)Bigg}Bigg].;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|66#66|; 

$key = q/displaystyleBigg[DP{}{z}left(bar{rho}bar{theta}_{v}right)_{i,k(w)}Bigg{w^{tau}_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|200#200|; 

$key = q/displaystyleu_{i,k(w)}^{t}left[DP{w}{x}right]_{i,k(w)}^{t}+w_{i,k(w)}^{t}left[DP{w}{z}right]_{i,k(w)}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|211#211|; 

$key = q/displaystyleleft[DP{}{z}bar{rho}bar{theta}_{v}left{w^{tau}-langlec_pranglebar{thlphaDiv)^{tau}}{z}right}+F_{w}^{t}Deltatauright}right]_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|167#167|; 

$key = q/displaystyle[CN_{cr}]_{i,k}^{t}=(q_{c,i,k}^{t}-q_{c0})slashtau_{ac};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|280#280|; 

$key = q/theta_{el};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|358#358|; 

$key = q/displaystylew^{tau}_{i,k(w)}-langlec_pranglebar{theta}_{v}Deltatauleft{betaDP{Piau}}{z}+(1-beta)DP{Pi^{tau}}{z}-DP{(alphaDiv)^{tau}}{z}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|122#122|; 

$key = q/displaystyleDP{D}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|432#432|; 

$key = q/x_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|540#540|; 

$key = q/displaystylefrac{p_{x}}{p}M_{x}(1slashM_{d}+sum_{vneqx}q_{v}slashM_{v});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|536#536|; 

$key = q/{displaymath}left[DP{overline{Pi}}{z}right]_{i,k}=-frac{g}{langlec_prangle[overline{theta_{v}}]_{i,k}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|48#48|; 

$key = q/displaystylePi^{tau}_{i,k}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_prangt)_{k}left{DP{(bar{rho}bar{theta}_{v}w^{tau})}{z}right}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|186#186|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k}equivfrac{9}{8}left(frac{u_{i(u),k}-u_{i-1(frac{1}{24}left(frac{u_{i(u)+1,k}-u_{i-2(u),k}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|42#42|; 

$key = q/displaystyleleft{-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}ar{theta}_{v}^{2}right)_{k(w)}right}Pi^{tau+Deltatau}_{i,k+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|399#399|; 

$key = q/displaystyle(1-2gamma)u^{t}_{i(u),k}+gamma(u^{*}_{i(u),k}+u^{t-Deltat}_{i(u),k})Deqlab{uwpi:timefilter};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|370#370|; 

$key = q/displaystylew_{i,k}equivfrac{w_{i,k(w)}+w_{i,k-1(w)}}{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|28#28|; 

$key = q/displaystyleleft(DP{(alphaDiv)^{tau}}{z}right)_{i,km(w)}-(1-beta)left(DP{Pi^{tau}}{z}right)_{i,km(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|160#160|; 

$key = q/displaystyleu^{t+Deltat}_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|369#369|; 

$key = q/v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|528#528|; 

$key = q/i,k(w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|12#12|; 

$key = q/displaystyleE_{i,0(w)}Deqlab{uwpi:w_sabun_kabu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|150#150|; 

$key = q/displaystyle+Dinv{overline{Pi}_{i,k}}left([Q_{cond}]_{i,k}+[Q_{rad}]_{i,k}+[Q_{dverline{theta}}right]_{i,k}Deqlab{空間離散化された熱力学の式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|72#72|; 

$key = q/2DeltatslashDeltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|421#421|; 

$key = q/displaystyleDeqlab{uwpi:sabun_kabu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|157#157|; 

$key = q/displaystyle=Pi^{tau}_{i,k}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_prantheta}_{v}}right)_{k}left(DP{u^{tau+Deltatau}}{x}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|140#140|; 

$key = q/Deltaq_{{rm{H_2S};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|333#333|; 

$key = q/displaystyleleft{-beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}}bar{theta}_{v}^{2}right)_{1(w)}right}Pi^{tau+Deltatau}_{i,2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|409#409|; 

$key = q/displaystyleleft[q_{{rm{H_2S}right]^{t+Deltat}=[q_{{rm{H_2S}]^{*}+Deltaq_{{rm{H_2S},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|328#328|; 

$key = q/displaystyle27(u_{i(u),j}-u_{i-1(u),j})-(u_{i+1(u),j}-u_{i-2(u),j});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|486#486|; 

$key = q/displaystylefrac{q_{x}p}{M_{x}(1slashM_{d}+sum_{v}q_{v}slashM_{v})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|543#543|; 

$key = q/left(Deltaxright)^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|470#470|; 

$key = q/displaystylew^{tau+Deltatau}_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|121#121|; 

$key = q/displaystylep_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|542#542|; 

$key = q/displaystyleleft[{{rm{Adv}.{w}right]_{i,k(w)}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|210#210|; 

$key = q/displaystyle-left(frac{bar{c_s}^{2}Deltatau}{langlec_pranglebar{theta}_{v}}right)_{1}left(DP{u^{tau+Deltatau}}{x}right)_{i,1}+F_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|190#190|; 

$key = q/displaystyleleft[{{rm{Buoy}.E_{turb}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|344#344|; 

$key = q/displaystyleleft[{{rm{Adv}.{phi}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|261#261|; 

$key = q/displaystyleleft{-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{theta}_{v}^{2}right)_{k(w)}right}Pi^{tau+Deltatau}_{i,k+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|137#137|; 

$key = q/u;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|2#2|; 

$key = q/displaystyleDP{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|428#428|; 

$key = q/displaystyleBigg{frac{langleMrangle}{M_d}left(-frac{[bar{q_d}]_{i,k}}{bar{rho}_{i,k}}sum[M_{fall}(rho_r)]_{i,k}+[D_{q_d}]_{i,k}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|65#65|; 

$key = q/displaystylenu_{h}left{DP{}{x}left(DP{w}{x}right)_{i(u),k(w)}right}_{i,k(w)}^{t-ft{DP{}{z}left(DP{w}{z}right)_{i,k}right}_{i,k(w)}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|227#227|; 

$key = q/displaystyle-left(overline{u}DeltatauDP{Pi^{tau}}{x}right)_{i,k}+H_{i,k}^{tau}Deltatau.Deqlab{uwpi:sabun_ik};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|143#143|; 

$key = q/{displaymath}left|frac{1}{24}left[DP[3]{u}{x}right]_{i(u),k}left(Deltaxright)^{2}right|{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|472#472|; 

$key = q/displaystyleleft[thetaright]^{t+Deltat}=theta^{*}+gammaleft([q_{{rm{NH_3}]^{*}+[*}-[q_{{rm{NH_3}]^{t+Deltat}-[q_{{rm{H_2S}]^{t+Deltat}right).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|330#330|; 

$key = q/displaystylePi_{im+2,k}=Pi_{im-1,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|104#104|; 

$key = q/K_{m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|228#228|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|91#91|; 

$key = q/displaystyleL_{v}=DD{lnp_{v}}{T}{R_{v}T^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|505#505|; 

$key = q/2Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|374#374|; 

$key = q/displaystyleE_{i,km(w)}Deqlab{uwpi:w_sabun_joubu2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|413#413|; 

$key = q/displaystyleu_{i,j}-left[DP{u}{x}right]_{i,k}frac{Deltax}{2}+frac{1}{2!}left[DP[3!}left[DP[3]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|461#461|; 

$key = q/d_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|386#386|; 

$key = q/displaystyle+O[(Deltax)^{7}]Deqlab{u_{i,j}の差分式1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|466#466|; 

$key = q/displaystyle+left[DP{}{z}left{left(K_{h}right)_{i,k(w)}left(DP{phi}{z}right)_{i,k(w)}right}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|266#266|; 

$key = q/displaystyleleft{u_{i(u),k}left(DP{E_{turb}}{x}right)_{i(u),k}right}_{i,k}^{t}+lw_{i,k(w)}left(DP{E_{turb}}{z}right)_{i,k(w)}right}_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|343#343|; 

$key = q/displaystyleDP{Pi}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|426#426|; 

$key = q/alpha_{h},alpha_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|233#233|; 

$key = q/epsilonequivalphasqrt{k^{2}+l^{2}}slashoverline{c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|441#441|; 

$key = q/displaystyle+F_{w,i,k(w)}^{t}Deltatau.Deqlab{uwpi:w_sabun};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|123#123|; 

$key = q/-CN_{vc}+EV_{cv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|287#287|; 

$key = q/displaystyle-betaleft(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_pranglebar{rho}bac_pranglebar{rho}bar{theta}_{v}^{2}right)_{i,0(w)}E_{i,0(w)},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|191#191|; 

$key = q/displaystyleu_{0(u),k}=u_{im(u),k}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|93#93|; 

$key = q/displaystyle+frac{1}{4!}left[DP[4]{u}{x}right]_{i,k}left(frac{Deltax}{2}right)^{Deltax}{2}right)^{5}+cdots.Deqlab{u_{i-1(u),j}のテーラー展開};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|462#462|; 

$key = q/displaystyleDP{Pi_{i,k}}{t}+left[frac{overline{langlec_srangle}^{2}}{langlec_praec_pranglebar{theta}_{v}}DP{u}{x}right]_{i,k}.Deqlab{uwpi:pi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|113#113|; 

$key = q/q_{x};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|529#529|; 

$key = q/displaystyleu_{im+1(u),k}=u_{1(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|89#89|; 

$key = q/displaystyleDeqlab{uwpi:sabun_joubu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|169#169|; 

$key = q/displaystyle-langlec_prangle[overline{theta_{v}}]_{i,k(w)}left[DP{Pi}{z}right]_{i,k(w)}+left[D_{w}right]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|57#57|; 

$key = q/displaystyle-left[{{rm{Adv}.q_{c}right]_{i,k}^{t}+left[{{rm{Turb}.q_{c}right]^{t-Deltat}+left[{{rm{Diff}.q_{c}right]^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|251#251|; 

$key = q/displaystyle+C_{m}lleft{DP{}{z}left[[E_{turb}^{1slash2}]_{i,k}left(DP{E_{turb}}{z}right)_{i,k(w)}right]right}_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|353#353|; 

$key = q/displaystyleleft{-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{langlec_prangleb}bar{theta}_{v}^{2}right)_{1(w)}right}Pi^{tau+Deltatau}_{i,2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|151#151|; 

$key = q/displaystyleleft[DP{Pi}{z}right]_{i,k(w)}equivfrac{9}{8}left(frac{Pi_{i,k+1}-Pi_ht)-frac{1}{24}left(frac{Pi_{i,k+2}-Pi_{i,k-1}}{Deltax}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|41#41|; 

$key = q/displaystylePi^{tau}_{i,km}-(1-beta)left(frac{bar{c_s}^{2}Deltatau}{langlec_pran_{km}left{DP{(bar{rho}bar{theta}_{v}w^{tau})}{z}right}_{i,km};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|193#193|; 

$key = q/displaystyleq_{x}=frac{x_{x}M_{x}(1slashM_{d}+sum_{vneqx}q_{v}slashM_{v})}{1-x_{x}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|541#541|; 

$key = q/displaystyleF_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|198#198|; 

$key = q/displaystylefrac{p_{x}}{p}frac{M_{x}(1slashM_{d}+sum_{vneqx}q_{v}slashM_{v})}{left(1-frac{p_{x}}{p}right)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|537#537|; 

$key = q/displaystyle-overline{u}DeltatauDP{Pi^{tau}}{x}+H_{i,k}^{tau}Deltatau.Deqlab{uwpi:sabun};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|136#136|; 

$key = q/displaystylehspace{10mm}+left{-beta^{2}left(frac{bar{c_s}^{2}{Deltatau}^{2}}{lan{theta}_{v}^{2}right)_{k-1(w)}right}Pi^{tau+Deltatau}_{i,k-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|139#139|; 

$key = q/displaystyleleft(frac{R_{d}T}{p}frac{1slashM_{d}+sum_{v}q_{v}slashM_{v}}{1slashM_{d}}right)frac{p_{x}}{R_{x}T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|533#533|; 

$key = q/displaystylefrac{p_{x}}{p}M_{x}(1slashM_{d}+sum_{v}q_{v}slashM_{v});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|534#534|; 

$key = q/displaystyle+beta^{2}left(frac{bar{c}^{2}{Deltatau}^{2}}{bar{c_{p}}bar{rho}bar{tght)_{0(w)}left(DP{Pi^{tau+Deltatau}}{z}right)_{i,0(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|407#407|; 

$key = q/displaystyle-u_{i(u),k}left[DP{u}{x}right]_{i(u),k}-w_{i(u),k}left[DP{u}{z}right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|53#53|; 

$key = q/tau+Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|106#106|; 

$key = q/x;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|7#7|; 

$key = q/displaystyleD_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|185#185|; 

$key = q/displaystyleleft[{{rm{Turb}.{bar{phi}}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|267#267|; 

$key = q/displaystyleleft[DP{u}{x}right]_{i,k}equivfrac{u_{i(u),k}-u_{i-1(u),k}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|34#34|; 

$key = q/displaystyle+left(Dinv{langlec_pranglebar{theta}_{v}}F_{w}^{t}right)_{i,km(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|161#161|; 

$key = q/displaystyleleft[q_{v}right]_{i,k}^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|238#238|; 

$key = q/w_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|20#20|; 

$key = q/displaystyleDP[2]{}{x}+DP[2]{}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|435#435|; 

$key = q/^{circ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|499#499|; 

$key = q/s_{{rm{H_2S}^{circ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|519#519|; 

$key = q/displaystyleleft.left.-left(langlec_pranglebar{theta}_{v}right)_{i,k(w)}Deltatauk(w)}+left(F_{w}^{t}right)_{i,k(w)}Deltatauright}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|142#142|; 

$key = q/displaystyleu_{-1(u),k}=-u_{1(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|94#94|; 

$key = q/displaystyleu_{im+2(u),k}=-u_{im-2(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|96#96|; 

$key = q/displaystyle0leqXleq{{rm{min}(P_{{rm{NH_{3}},P_{{rm{H_{2}S})Deqlab{NH4SH-condition};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|325#325|; 

$key = q/CN_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|278#278|; 

$key = q/displaystyle-frac{[overline{q_d}]_{i,k}}{overline{rho}_{i,k}}sum[M_{fall}(rho_r)D_{q_d}]_{i,k},Deqlab{quasi-equations:u-w-pi-theta:qd};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|75#75|; 

$key = q/l=left(DeltaxDeltazright)^{1slash2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|357#357|; 

$key = q/displaystylegamma_{h}=alpha_{h}left(1-frac{(x_{max}-x)}{d_{h}}right)^{3};;(x>x_{max}-d_{h}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|385#385|; 

1;

