10#include "scaleFElib.h"
20 use scale_const,
only: &
23 cpdry => const_cpdry, &
24 cvdry => const_cvdry, &
73 del_flux, del_flux_hyd, & ! (out)
74 ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, &
76 gsqrt, g13, g23, nx, ny, nz, &
77 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d )
85 real(rp),
intent(out) :: del_flux(elem%nfptot,lmesh%ne,
prgvar_num)
86 real(rp),
intent(out) :: del_flux_hyd(elem%nfptot,lmesh%ne,2)
87 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
88 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
89 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
90 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
91 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
92 real(rp),
intent(in) :: dpres_(elem%np*lmesh%nea)
93 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
94 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
95 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
96 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
97 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
98 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
99 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
100 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
101 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
102 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
103 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
104 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
105 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
107 integer :: ke, i, ip(elem%nfptot), im(elem%nfptot)
109 real(rp) :: velp(elem%nfptot), velm(elem%nfptot), alpha(elem%nfptot)
110 real(rp) :: dpresp(elem%nfptot), dpresm(elem%nfptot)
111 real(rp) :: gsqrtdensm(elem%nfptot), gsqrtdensp(elem%nfptot)
112 real(rp) :: gsqrtrhotm(elem%nfptot), gsqrtrhotp(elem%nfptot)
113 real(rp) :: gsqrtddens_p(elem%nfptot), gsqrtddens_m(elem%nfptot)
114 real(rp) :: gsqrtmomx_p(elem%nfptot), gsqrtmomx_m(elem%nfptot)
115 real(rp) :: gsqrtmomy_p(elem%nfptot), gsqrtmomy_m(elem%nfptot)
116 real(rp) :: gsqrtmomz_p(elem%nfptot), gsqrtmomz_m(elem%nfptot)
117 real(rp) :: gsqrtdrhot_p(elem%nfptot), gsqrtdrhot_m(elem%nfptot)
118 real(rp) :: phyd_p(elem%nfptot), phyd_m(elem%nfptot)
119 real(rp) :: gsqrt_p(elem%nfptot), gsqrt_m(elem%nfptot)
120 real(rp) :: gsqrtv_p(elem%nfptot), gsqrtv_m(elem%nfptot)
121 real(rp) :: g13_m(elem%nfptot), g13_p(elem%nfptot)
122 real(rp) :: g23_m(elem%nfptot), g23_p(elem%nfptot)
123 real(rp) :: gnn_m(elem%nfptot), gnn_p(elem%nfptot)
125 real(rp) :: gamm, rgamm
127 real(rp) :: rovp0, p0ovr
131 rgamm = cvdry / cpdry
132 rp0 = 1.0_rp / pres00
134 p0ovr = pres00 / rdry
145 do ke=lmesh%NeS, lmesh%NeE
146 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
147 ke2d = lmesh%EMap3Dto2D(ke)
149 gsqrt_m(:) = gsqrt(im)
150 gsqrt_p(:) = gsqrt(ip)
151 gsqrtv_m(:) = gsqrt_m(:)
152 gsqrtv_p(:) = gsqrt_p(:)
159 gsqrtddens_m(:) = gsqrt_m(:) * ddens_(im)
160 gsqrtddens_p(:) = gsqrt_p(:) * ddens_(ip)
161 gsqrtmomx_m(:) = gsqrt_m(:) * momx_(im)
162 gsqrtmomx_p(:) = gsqrt_p(:) * momx_(ip)
163 gsqrtmomy_m(:) = gsqrt_m(:) * momy_(im)
164 gsqrtmomy_p(:) = gsqrt_p(:) * momy_(ip)
165 gsqrtmomz_m(:) = gsqrt_m(:) * momz_(im)
166 gsqrtmomz_p(:) = gsqrt_p(:) * momz_(ip)
167 gsqrtdrhot_m(:) = gsqrt_m(:) * drhot_(im)
168 gsqrtdrhot_p(:) = gsqrt_p(:) * drhot_(ip)
169 phyd_m(:) = pres_hyd(im)
170 phyd_p(:) = pres_hyd(ip)
172 gnn_m(:) = abs( nx(:,ke) ) + abs( ny(:,ke) ) &
173 + ( 1.0_rp / gsqrtv_m(:)**2 + g13_m(:)**2 + g23_m(:)**2 ) * abs( nz(:,ke) )
174 gnn_p(:) = abs( nx(:,ke) ) + abs( ny(:,ke) ) &
175 + ( 1.0_rp / gsqrtv_p(:)**2 + g13_p(:)**2 + g23_p(:)**2 ) * abs( nz(:,ke) )
177 gsqrtdensm(:) = gsqrtddens_m(:) + gsqrt_m(:) * dens_hyd(im)
178 gsqrtdensp(:) = gsqrtddens_p(:) + gsqrt_p(:) * dens_hyd(ip)
180 gsqrtrhotm(:) = gsqrt_m(:) * p0ovr * (phyd_m(:) * rp0)**rgamm + gsqrtdrhot_m(:)
181 gsqrtrhotp(:) = gsqrt_p(:) * p0ovr * (phyd_p(:) * rp0)**rgamm + gsqrtdrhot_p(:)
183 velm(:) = ( gsqrtmomx_m(:) * nx(:,ke) + gsqrtmomy_m(:) * ny(:,ke) &
184 + ( ( gsqrtmomz_m(:) / gsqrtv_m(:) &
185 + g13_m(:) * gsqrtmomx_m(:) + g23_m(:) * gsqrtmomy_m(:) ) * nz(:,ke) ) &
187 velp(:) = ( gsqrtmomx_p(:) * nx(:,ke) + gsqrtmomy_p(:) * ny(:,ke) &
188 + ( ( gsqrtmomz_p(:) / gsqrtv_p(:) &
189 + g13_p(:) * gsqrtmomx_p(:) + g23_p(:) * gsqrtmomy_p(:) ) * nz(:,ke) ) &
197 dpresm(:) = dpres_(im)
198 dpresp(:) = dpres_(ip)
200 alpha(:) = max( sqrt( gnn_m(:) * gamm * ( phyd_m(:) + dpresm(:) ) * gsqrt_m(:) / gsqrtdensm(:) ) + abs(velm(:)), &
201 sqrt( gnn_p(:) * gamm * ( phyd_p(:) + dpresp(:) ) * gsqrt_p(:) / gsqrtdensp(:) ) + abs(velp(:)) )
203 del_flux(:,ke,dens_vid) = 0.5_rp * ( &
204 ( gsqrtdensp(:) * velp(:) - gsqrtdensm(:) * velm(:) ) &
205 - alpha(:) * ( gsqrtddens_p(:) - gsqrtddens_m(:) ) )
207 del_flux(:,ke,momx_vid ) = 0.5_rp * ( &
208 ( gsqrtmomx_p(:) * velp(:) - gsqrtmomx_m(:) * velm(:) ) &
209 + ( gsqrt_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke)) * dpresp(:) &
210 - gsqrt_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke)) * dpresm(:) ) &
211 - alpha(:) * ( gsqrtmomx_p(:) - gsqrtmomx_m(:) ) )
213 del_flux(:,ke,momy_vid ) = 0.5_rp * ( &
214 ( gsqrtmomy_p(:) * velp(:) - gsqrtmomy_m(:) * velm(:) ) &
215 + ( gsqrt_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke)) * dpresp(:) &
216 - gsqrt_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke)) * dpresm(:) ) &
217 - alpha(:) * ( gsqrtmomy_p(:) - gsqrtmomy_m(:) ) )
219 del_flux(:,ke,momz_vid ) = 0.5_rp * ( &
220 ( gsqrtmomz_p(:) * velp(:) - gsqrtmomz_m(:) * velm(:) ) &
221 + ( gsqrt_p(:) * dpresp(:) / gsqrtv_p(:) &
222 - gsqrt_m(:) * dpresm(:) / gsqrtv_m(:) ) * nz(:,ke) &
223 - alpha(:) * ( gsqrtmomz_p(:) - gsqrtmomz_m(:) ) )
225 del_flux(:,ke,rhot_vid) = 0.5_rp * ( &
226 ( gsqrtrhotp(:) * velp(:) - gsqrtrhotm(:) * velm(:) ) &
227 - alpha(:) * ( gsqrtdrhot_p(:) - gsqrtdrhot_m(:) ) )
229 del_flux_hyd(:,ke,1) = 0.5_rp * ( &
230 gsqrtv_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke) ) * phyd_p(:) &
231 - gsqrtv_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke) ) * phyd_m(:) )
233 del_flux_hyd(:,ke,2) = 0.5_rp * ( &
234 gsqrtv_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke) ) * phyd_p(:) &
235 - gsqrtv_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke) ) * phyd_m(:) )
243 PRGVAR_dt, & ! (inout)
244 ddens_, momx_, momy_, momz_, drhot_, dpres, &
245 dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, &
246 gsqrt, g13, g23, nx, ny, nz, &
247 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d, elem3d_optr )
255 real(rp),
intent(inout) :: prgvar_dt(elem%np,lmesh%nea,5)
256 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
257 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
258 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
259 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
260 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
261 real(rp),
intent(inout) :: dpres(elem%np*lmesh%nea)
262 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
263 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
264 real(rp),
intent(in) :: therm_hyd(elem%np*lmesh%nea)
265 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
266 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
267 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
268 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
269 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
270 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
271 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
272 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
273 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
274 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
275 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
278 integer :: ke, fp, i, ip(elem%nfptot), im(elem%nfptot)
280 real(rp) :: vel(elem%nfptot,2), alpha(elem%nfptot)
281 real(rp) :: dpres_(elem%nfptot,2)
282 real(rp) :: gsqrtdens(elem%nfptot,2)
283 real(rp) :: gsqrtrhot(elem%nfptot,2)
284 real(rp) :: gsqrtddens(elem%nfptot,2)
285 real(rp) :: gsqrtmomx(elem%nfptot,2)
286 real(rp) :: gsqrtmomy(elem%nfptot,2)
287 real(rp) :: gsqrtmomz(elem%nfptot,2)
288 real(rp) :: gsqrtdrhot(elem%nfptot,2)
289 real(rp) :: cs2_(elem%nfptot,2)
290 real(rp) :: gsqrt_(elem%nfptot,2)
291 real(rp) :: gsqrtv_(elem%nfptot,2)
292 real(rp) :: rgsqrtv(elem%nfptot,2)
293 real(rp) :: g13_(elem%nfptot,2)
294 real(rp) :: g23_(elem%nfptot,2)
295 real(rp) :: gnn_m, gnn_p
297 real(rp) :: gamm, rgamm
299 real(rp) :: rovp0, p0ovr
301 integer,
parameter :: in = 1
302 integer,
parameter :: ex = 2
304 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
305 real(rp) :: del_flux_tmp_mom(elem%nfptot,3)
309 real(rp) :: del_flux(elem%nfptot,5)
310 real(rp) :: lift(elem%np,5)
311 real(rp) :: rgsqrt(elem%np)
313 integer :: iim, iip, fpp
314 integer,
parameter :: nfp_s = 0
318 rgamm = cvdry / cpdry
319 rp0 = 1.0_rp / pres00
321 p0ovr = pres00 / rdry
322 call prof_rapstart(
'cal_dyn_tend_bndflux1', 3)
335 do i=elem%Np*lmesh%NeE+1, elem%Np*lmesh%NeE+
size(lmesh%VMapB)
336 dpres(i) = pres00 * ( rtot(i) * rp0 * ( therm_hyd(i) + drhot_(i) ) )**( cptot(i) / cvtot(i) ) &
342 do ke=lmesh%NeS, lmesh%NeE
343 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
344 ke2d = lmesh%EMap3Dto2D(ke)
348 gsqrt_(fp,in) = gsqrt(iim)
349 gsqrtv_(fp,in) = gsqrt_(fp,in)
350 rgsqrtv(fp,in) = 1.0_rp / gsqrtv_(fp,in)
352 gsqrtddens(fp,in) = gsqrt_(fp,in) * ddens_(iim)
353 gsqrtdens(fp,in) = gsqrtddens(fp,in) + gsqrt_(fp,in) * dens_hyd(iim)
355 gsqrtdrhot(fp,in) = gsqrt_(fp,in) * drhot_(iim)
356 gsqrtrhot(fp,in) = gsqrtdrhot(fp,in) + gsqrt_(fp,in) * therm_hyd(iim)
361 dpres_(fp,in) = dpres(iim)
362 cs2_(fp,in) = gamm * ( pres_hyd(iim) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in)
366 gsqrtmomx(fp,in) = gsqrt_(fp,in) * momx_(iim)
367 gsqrtmomy(fp,in) = gsqrt_(fp,in) * momy_(iim)
368 gsqrtmomz(fp,in) = gsqrt_(fp,in) * momz_(iim)
370 g13_(fp,in) = g13(iim)
371 g23_(fp,in) = g23(iim)
375 vel(fp,in) = ( gsqrtmomx(fp,in) * nx(fpp,ke) + gsqrtmomy(fp,in) * ny(fpp,ke) &
376 + ( ( gsqrtmomz(fp,in) * rgsqrtv(fp,in) &
377 + g13_(fp,in) * gsqrtmomx(fp,in) + g23_(fp,in) * gsqrtmomy(fp,in) ) * nz(fpp,ke) ) &
385 gsqrt_(fp,ex) = gsqrt(iip)
386 gsqrtv_(fp,ex) = gsqrt_(fp,ex)
387 rgsqrtv(fp,ex) = 1.0_rp / gsqrtv_(fp,ex)
390 gsqrtddens(fp,ex) = gsqrt_(fp,ex) * ddens_(iip)
391 gsqrtdens(fp,ex) = gsqrtddens(fp,ex) + gsqrt_(fp,ex) * dens_hyd(iip)
393 gsqrtdrhot(fp,ex) = gsqrt_(fp,ex) * drhot_(iip)
394 gsqrtrhot(fp,ex) = gsqrtdrhot(fp,ex) + gsqrt_(fp,ex) * therm_hyd(iip)
398 dpres_(fp,ex) = dpres(iip)
399 cs2_(fp,ex) = gamm * ( pres_hyd(iip) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex)
403 gsqrtmomx(fp,ex) = gsqrt_(fp,ex) * momx_(iip)
404 gsqrtmomy(fp,ex) = gsqrt_(fp,ex) * momy_(iip)
405 gsqrtmomz(fp,ex) = gsqrt_(fp,ex) * momz_(iip)
407 g13_(fp,ex) = g13(iip)
408 g23_(fp,ex) = g23(iip)
412 vel(fp,ex) = ( gsqrtmomx(fp,ex) * nx(fpp,ke) + gsqrtmomy(fp,ex) * ny(fpp,ke) &
413 + ( ( gsqrtmomz(fp,ex) * rgsqrtv(fp,ex) &
414 + g13_(fp,ex) * gsqrtmomx(fp,ex) + g23_(fp,ex) * gsqrtmomy(fp,ex) ) * nz(fpp,ke) ) &
419 tmp1 = abs( nx(fp,ke) ) + abs( ny(fp,ke) )
421 + ( 1.0_rp * rgsqrtv(fp,in)**2 + g13_(fp,in)**2 + g23_(fp,in)**2 ) * abs( nz(fp,ke) )
423 + ( 1.0_rp * rgsqrtv(fp,ex)**2 + g13_(fp,ex)**2 + g23_(fp,ex)**2 ) * abs( nz(fp,ke) )
425 alpha(fp) = max( sqrt( gnn_m * cs2_(fp,in) ) + abs(vel(fp,in)), &
426 sqrt( gnn_p * cs2_(fp,ex) ) + abs(vel(fp,ex)) )
429 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
431 tmp2 = - alpha(fp) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
432 del_flux(fp,dens_vid) = tmp1 * ( &
433 gsqrtdens(fp,ex) * vel(fp,ex) - gsqrtdens(fp,in) * vel(fp,in) &
436 tmp2 = - alpha(fp) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
437 del_flux(fp,rhot_vid) = tmp1 * ( &
438 gsqrtrhot(fp,ex) * vel(fp,ex) - gsqrtrhot(fp,in) * vel(fp,in) &
443 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
444 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
446 del_flux_tmp_mom(fp,1) = &
447 ( tmp3 * rgsqrtv(fp,ex) &
448 - tmp4 * rgsqrtv(fp,in) ) * nz(fp,ke)
450 del_flux_tmp_mom(fp,2) = &
451 ( nx(fp,ke) + g13_(fp,ex) * nz(fp,ke) ) * tmp3 &
452 - ( nx(fp,ke) + g13_(fp,in) * nz(fp,ke) ) * tmp4
454 del_flux_tmp_mom(fp,3) = &
455 ( ny(fp,ke) + g23_(fp,ex) * nz(fp,ke) ) * tmp3 &
456 - ( ny(fp,ke) + g23_(fp,in) * nz(fp,ke) ) * tmp4
460 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
462 tmp2 = - alpha(fp) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
463 del_flux(fp,momz_vid) = tmp1 * ( &
464 gsqrtmomz(fp,ex) * vel(fp,ex) - gsqrtmomz(fp,in) * vel(fp,in) &
465 + del_flux_tmp_mom(fp,1) &
471 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
473 tmp2 = - alpha(fp) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
474 del_flux(fp,momx_vid) = tmp1 * ( &
475 gsqrtmomx(fp,ex) * vel(fp,ex) - gsqrtmomx(fp,in) * vel(fp,in) &
476 + del_flux_tmp_mom(fp,2) &
479 tmp2 = - alpha(fp) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
480 del_flux(fp,momy_vid) = tmp1 * ( &
481 gsqrtmomy(fp,ex) * vel(fp,ex) - gsqrtmomy(fp,in) * vel(fp,in) &
482 + del_flux_tmp_mom(fp,3) &
486 call elem3d_optr%Lift_var5( del_flux, lift )
487 rgsqrt(:) = 1.0_rp / lmesh%Gsqrt(:,ke)
489 prgvar_dt(:,ke,iv) = prgvar_dt(:,ke,iv) - rgsqrt(:) * lift(:,iv)
494 call prof_rapend(
'cal_dyn_tend_bndflux1', 3)
948 ddens_, momx_, momy_, momz_, drhot_, dpres, &
949 dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, &
950 gsqrt, g13, g23, nx, ny, nz, &
951 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d )
959 real(rp),
intent(out) :: del_flux(elem%nfptot,
prgvar_num,lmesh%ne)
960 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
961 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
962 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
963 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
964 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
965 real(rp),
intent(in) :: dpres(elem%np*lmesh%nea)
966 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
967 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
968 real(rp),
intent(in) :: therm_hyd(elem%np*lmesh%nea)
969 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
970 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
971 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
972 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
973 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
974 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
975 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
976 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
977 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
978 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
979 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
981 integer :: ke, fp, i, ip(elem%nfptot), im(elem%nfptot)
983 real(rp) :: vel(elem%nfptot,2), alpha(elem%nfptot)
984 real(rp) :: dpres_(elem%nfptot,2)
985 real(rp) :: gsqrtdens(elem%nfptot,2)
986 real(rp) :: gsqrtrhot(elem%nfptot,2)
987 real(rp) :: gsqrtddens(elem%nfptot,2)
988 real(rp) :: gsqrtmomx(elem%nfptot,2)
989 real(rp) :: gsqrtmomy(elem%nfptot,2)
990 real(rp) :: gsqrtmomz(elem%nfptot,2)
991 real(rp) :: gsqrtdrhot(elem%nfptot,2)
992 real(rp) :: phyd_(elem%nfptot,2)
993 real(rp) :: gsqrt_(elem%nfptot,2)
994 real(rp) :: gsqrtv_(elem%nfptot,2)
995 real(rp) :: rgsqrtv(elem%nfptot,2)
996 real(rp) :: g13_(elem%nfptot,2)
997 real(rp) :: g23_(elem%nfptot,2)
998 real(rp) :: gnn_m, gnn_p
1000 real(rp) :: gamm, rgamm
1002 real(rp) :: rovp0, p0ovr
1004 integer,
parameter :: in = 1
1005 integer,
parameter :: ex = 2
1007 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
1008 real(rp) :: del_flux_tmp_mom(elem%nfptot,3)
1011 gamm = cpdry / cvdry
1012 rgamm = cvdry / cpdry
1013 rp0 = 1.0_rp / pres00
1015 p0ovr = pres00 / rdry
1026 do ke=lmesh%NeS, lmesh%NeE
1027 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
1028 ke2d = lmesh%EMap3Dto2D(ke)
1030 gsqrt_(:,in) = gsqrt(im)
1031 gsqrt_(:,ex) = gsqrt(ip)
1032 gsqrtv_(:,:) = gsqrt_(:,:)
1033 rgsqrtv(:,:) = 1.0_rp / gsqrtv_(:,:)
1035 g13_(:,in) = g13(im)
1036 g13_(:,ex) = g13(ip)
1037 g23_(:,in) = g23(im)
1038 g23_(:,ex) = g23(ip)
1040 gsqrtddens(:,in) = gsqrt_(:,in) * ddens_(im)
1041 gsqrtddens(:,ex) = gsqrt_(:,ex) * ddens_(ip)
1042 gsqrtmomx(:,in) = gsqrt_(:,in) * momx_(im)
1043 gsqrtmomx(:,ex) = gsqrt_(:,ex) * momx_(ip)
1044 gsqrtmomy(:,in) = gsqrt_(:,in) * momy_(im)
1045 gsqrtmomy(:,ex) = gsqrt_(:,ex) * momy_(ip)
1046 gsqrtmomz(:,in) = gsqrt_(:,in) * momz_(im)
1047 gsqrtmomz(:,ex) = gsqrt_(:,ex) * momz_(ip)
1048 gsqrtdrhot(:,in) = gsqrt_(:,in) * drhot_(im)
1049 gsqrtdrhot(:,ex) = gsqrt_(:,ex) * drhot_(ip)
1051 phyd_(:,in) = pres_hyd(im)
1052 phyd_(:,ex) = pres_hyd(ip)
1053 dpres_(:,in) = dpres(im)
1054 dpres_(:,ex) = dpres(ip)
1056 gsqrtdens(:,in) = gsqrtddens(:,in) + gsqrt_(:,in) * dens_hyd(im)
1057 gsqrtdens(:,ex) = gsqrtddens(:,ex) + gsqrt_(:,ex) * dens_hyd(ip)
1059 gsqrtrhot(:,in) = gsqrt_(:,in) * therm_hyd(im) + gsqrtdrhot(:,in)
1060 gsqrtrhot(:,ex) = gsqrt_(:,ex) * therm_hyd(ip) + gsqrtdrhot(:,ex)
1062 vel(:,in) = ( gsqrtmomx(:,in) * nx(:,ke) + gsqrtmomy(:,in) * ny(:,ke) &
1063 + ( ( gsqrtmomz(:,in) * rgsqrtv(:,in) &
1064 + g13_(:,in) * gsqrtmomx(:,in) + g23_(:,in) * gsqrtmomy(:,in) ) * nz(:,ke) ) &
1066 vel(:,ex) = ( gsqrtmomx(:,ex) * nx(:,ke) + gsqrtmomy(:,ex) * ny(:,ke) &
1067 + ( ( gsqrtmomz(:,ex) * rgsqrtv(:,ex) &
1068 + g13_(:,ex) * gsqrtmomx(:,ex) + g23_(:,ex) * gsqrtmomy(:,ex) ) * nz(:,ke) ) &
1071 do fp=1, elem%NfpTot
1072 tmp1 = abs( nx(fp,ke) ) + abs( ny(fp,ke) )
1074 + ( 1.0_rp * rgsqrtv(fp,in)**2 + g13_(fp,in)**2 + g23_(fp,in)**2 ) * abs( nz(fp,ke) )
1076 + ( 1.0_rp * rgsqrtv(fp,ex)**2 + g13_(fp,ex)**2 + g23_(fp,ex)**2 ) * abs( nz(fp,ke) )
1078 alpha(fp) = max( sqrt( gnn_m * gamm * ( phyd_(fp,in) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in) ) + abs(vel(fp,in)), &
1079 sqrt( gnn_p * gamm * ( phyd_(fp,ex) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex) ) + abs(vel(fp,ex)) )
1081 do fp=1, elem%NfpTot
1082 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1084 tmp2 = - alpha(fp) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
1085 del_flux(fp,dens_vid,ke) = tmp1 * ( &
1086 gsqrtdens(fp,ex) * vel(fp,ex) - gsqrtdens(fp,in) * vel(fp,in) &
1089 tmp2 = - alpha(fp) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
1090 del_flux(fp,rhot_vid,ke) = tmp1 * ( &
1091 gsqrtrhot(fp,ex) * vel(fp,ex) - gsqrtrhot(fp,in) * vel(fp,in) &
1095 do fp=1, elem%NfpTot
1096 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
1097 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
1099 del_flux_tmp_mom(fp,1) = &
1100 ( tmp3 * rgsqrtv(fp,ex) &
1101 - tmp4 * rgsqrtv(fp,in) ) * nz(fp,ke)
1103 del_flux_tmp_mom(fp,2) = &
1104 ( nx(fp,ke) + g13_(fp,ex) * nz(fp,ke) ) * tmp3 &
1105 - ( nx(fp,ke) + g13_(fp,in) * nz(fp,ke) ) * tmp4
1107 del_flux_tmp_mom(fp,3) = &
1108 ( ny(fp,ke) + g23_(fp,ex) * nz(fp,ke) ) * tmp3 &
1109 - ( ny(fp,ke) + g23_(fp,in) * nz(fp,ke) ) * tmp4
1111 do fp=1, elem%NfpTot
1112 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1114 tmp2 = - alpha(fp) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
1115 del_flux(fp,momz_vid,ke) = tmp1 * ( &
1116 gsqrtmomz(fp,ex) * vel(fp,ex) - gsqrtmomz(fp,in) * vel(fp,in) &
1117 + del_flux_tmp_mom(fp,1) &
1120 do fp=1, elem%NfpTot
1121 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1123 tmp2 = - alpha(fp) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
1124 del_flux(fp,momx_vid,ke) = tmp1 * ( &
1125 gsqrtmomx(fp,ex) * vel(fp,ex) - gsqrtmomx(fp,in) * vel(fp,in) &
1126 + del_flux_tmp_mom(fp,2) &
1129 tmp2 = - alpha(fp) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
1130 del_flux(fp,momy_vid,ke) = tmp1 * ( &
1131 gsqrtmomy(fp,ex) * vel(fp,ex) - gsqrtmomy(fp,in) * vel(fp,in) &
1132 + del_flux_tmp_mom(fp,3) &
1141 subroutine atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalvc_lmars( &
1143 ddens_, momx_, momy_, momz_, drhot_, dpres, dens_hyd, pres_hyd, &
1144 rtot, cvtot, cptot, &
1145 gsqrt, g13, g23, nx, ny, nz, &
1146 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d )
1154 real(rp),
intent(out) :: del_flux(elem%nfptot,
prgvar_num,lmesh%ne)
1155 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
1156 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
1157 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
1158 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
1159 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
1160 real(rp),
intent(in) :: dpres(elem%np*lmesh%nea)
1161 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
1162 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
1163 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
1164 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
1165 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
1166 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
1167 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
1168 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
1169 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
1170 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
1171 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
1172 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
1173 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
1175 integer :: ke, fp, i, ip(elem%nfptot), im(elem%nfptot)
1177 real(rp) :: vel(elem%nfptot,2), alpha(elem%nfptot), alpha2(elem%nfptot)
1178 real(rp) :: dpres_(elem%nfptot,2)
1179 real(rp) :: gsqrtdens(elem%nfptot,2)
1180 real(rp) :: gsqrtrhot(elem%nfptot,2)
1181 real(rp) :: gsqrtddens(elem%nfptot,2)
1182 real(rp) :: gsqrtmomx(elem%nfptot,2)
1183 real(rp) :: gsqrtmomy(elem%nfptot,2)
1184 real(rp) :: gsqrtmomz(elem%nfptot,2)
1185 real(rp) :: gsqrtdrhot(elem%nfptot,2)
1186 real(rp) :: phyd_(elem%nfptot,2)
1187 real(rp) :: gsqrt_(elem%nfptot,2)
1188 real(rp) :: gsqrtv_(elem%nfptot,2)
1189 real(rp) :: rgsqrtv(elem%nfptot,2)
1190 real(rp) :: g13_(elem%nfptot,2)
1191 real(rp) :: g23_(elem%nfptot,2)
1192 real(rp) :: gnn_m, gnn_p
1194 real(rp) :: gamm, rgamm
1196 real(rp) :: rovp0, p0ovr
1198 integer,
parameter :: in = 1
1199 integer,
parameter :: ex = 2
1201 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
1202 real(rp) :: del_flux_tmp_mom(elem%nfptot,3)
1204 real(rp) :: vel_n(elem%nfptot)
1205 real(rp) :: cs(elem%nfptot,2)
1208 gamm = cpdry / cvdry
1209 rgamm = cvdry / cpdry
1210 rp0 = 1.0_rp / pres00
1212 p0ovr = pres00 / rdry
1223 do ke=lmesh%NeS, lmesh%NeE
1224 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
1225 ke2d = lmesh%EMap3Dto2D(ke)
1227 gsqrt_(:,in) = gsqrt(im)
1228 gsqrt_(:,ex) = gsqrt(ip)
1229 gsqrtv_(:,:) = gsqrt_(:,:)
1230 rgsqrtv(:,:) = 1.0_rp / gsqrtv_(:,:)
1232 g13_(:,in) = g13(im)
1233 g13_(:,ex) = g13(ip)
1234 g23_(:,in) = g23(im)
1235 g23_(:,ex) = g23(ip)
1237 gsqrtddens(:,in) = gsqrt_(:,in) * ddens_(im)
1238 gsqrtddens(:,ex) = gsqrt_(:,ex) * ddens_(ip)
1239 gsqrtmomx(:,in) = gsqrt_(:,in) * momx_(im)
1240 gsqrtmomx(:,ex) = gsqrt_(:,ex) * momx_(ip)
1241 gsqrtmomy(:,in) = gsqrt_(:,in) * momy_(im)
1242 gsqrtmomy(:,ex) = gsqrt_(:,ex) * momy_(ip)
1243 gsqrtmomz(:,in) = gsqrt_(:,in) * momz_(im)
1244 gsqrtmomz(:,ex) = gsqrt_(:,ex) * momz_(ip)
1245 gsqrtdrhot(:,in) = gsqrt_(:,in) * drhot_(im)
1246 gsqrtdrhot(:,ex) = gsqrt_(:,ex) * drhot_(ip)
1248 phyd_(:,in) = pres_hyd(im)
1249 phyd_(:,ex) = pres_hyd(ip)
1250 dpres_(:,in) = dpres(im)
1251 dpres_(:,ex) = dpres(ip)
1253 gsqrtdens(:,in) = gsqrtddens(:,in) + gsqrt_(:,in) * dens_hyd(im)
1254 gsqrtdens(:,ex) = gsqrtddens(:,ex) + gsqrt_(:,ex) * dens_hyd(ip)
1256 gsqrtrhot(:,:) = gsqrt_(:,:) * p0ovr * (phyd_(:,:) * rp0)**rgamm + gsqrtdrhot(:,:)
1258 vel(:,in) = ( gsqrtmomx(:,in) * nx(:,ke) + gsqrtmomy(:,in) * ny(:,ke) &
1259 + ( ( gsqrtmomz(:,in) * rgsqrtv(:,in) &
1260 + g13_(:,in) * gsqrtmomx(:,in) + g23_(:,in) * gsqrtmomy(:,in) ) * nz(:,ke) ) &
1262 vel(:,ex) = ( gsqrtmomx(:,ex) * nx(:,ke) + gsqrtmomy(:,ex) * ny(:,ke) &
1263 + ( ( gsqrtmomz(:,ex) * rgsqrtv(:,ex) &
1264 + g13_(:,ex) * gsqrtmomx(:,ex) + g23_(:,ex) * gsqrtmomy(:,ex) ) * nz(:,ke) ) &
1267 do fp=1, elem%NfpTot
1268 tmp1 = abs( nx(fp,ke) ) + abs( ny(fp,ke) )
1270 + ( 1.0_rp * rgsqrtv(fp,in)**2 + g13_(fp,in)**2 + g23_(fp,in)**2 ) * abs( nz(fp,ke) )
1272 + ( 1.0_rp * rgsqrtv(fp,ex)**2 + g13_(fp,ex)**2 + g23_(fp,ex)**2 ) * abs( nz(fp,ke) )
1274 cs(fp,in) = sqrt( gnn_m * gamm * ( phyd_(fp,in) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in) )
1275 cs(fp,ex) = sqrt( gnn_p * gamm * ( phyd_(fp,ex) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex) )
1276 alpha(fp) = max( cs(fp,in) + abs(vel(fp,in)), cs(fp,ex) + abs(vel(fp,ex)) )
1278 vel_n(:) = 0.5_rp * ( &
1279 ( vel(:,in) + vel(:,ex) ) &
1280 - 2.0_rp * ( dpres_(:,ex) - dpres_(:,in) ) / ( 0.5_rp * ( gsqrtdens(:,in) / gsqrt_(:,in) * cs(:,in) + gsqrtdens(:,ex) / gsqrt_(:,ex) * cs(:,ex) ) ) &
1284 do fp=1, elem%NfpTot
1285 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1286 tmp3 = vel_n(fp) - 2.0_rp * vel(fp,in)
1288 tmp2 = - abs( vel_n(fp) ) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
1289 del_flux(fp,dens_vid,ke) = tmp1 * ( &
1290 gsqrtdens(fp,ex) * vel_n(fp) + gsqrtdens(fp,in) * tmp3 &
1293 tmp2 = - abs( vel_n(fp) ) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
1294 del_flux(fp,rhot_vid,ke) = tmp1 * ( &
1295 gsqrtrhot(fp,ex) * vel_n(fp) + gsqrtrhot(fp,in) * tmp3 &
1299 do fp=1, elem%NfpTot
1300 tmp1 = 0.5_rp * ( cs(fp,in) + cs(fp,ex) )
1301 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
1302 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
1304 del_flux_tmp_mom(fp,1) = &
1305 ( tmp3 * rgsqrtv(fp,ex) &
1306 - tmp4 * rgsqrtv(fp,in) ) * nz(fp,ke) &
1307 - tmp1 * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
1309 del_flux_tmp_mom(fp,2) = &
1310 ( nx(fp,ke) + g13_(fp,ex) * nz(fp,ke) ) * tmp3 &
1311 - ( nx(fp,ke) + g13_(fp,in) * nz(fp,ke) ) * tmp4 &
1312 - tmp1 * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
1314 del_flux_tmp_mom(fp,3) = &
1315 ( ny(fp,ke) + g23_(fp,ex) * nz(fp,ke) ) * tmp3 &
1316 - ( ny(fp,ke) + g23_(fp,in) * nz(fp,ke) ) * tmp4 &
1317 - tmp1 * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
1320 do fp=1, elem%NfpTot
1321 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1322 tmp3 = vel_n(fp) - 2.0_rp * vel(fp,in)
1324 tmp2 = - abs( vel_n(fp) ) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
1325 del_flux(fp,momz_vid,ke) = tmp1 * ( &
1326 gsqrtmomz(fp,ex) * vel_n(fp) + gsqrtmomz(fp,in) * tmp3 &
1327 + del_flux_tmp_mom(fp,1) &
1330 do fp=1, elem%NfpTot
1331 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1332 tmp3 = vel_n(fp) - 2.0_rp * vel(fp,in)
1334 tmp2 = - abs( vel_n(fp) ) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
1335 del_flux(fp,momx_vid,ke) = tmp1 * ( &
1336 gsqrtmomx(fp,ex) * vel_n(fp) + gsqrtmomx(fp,in) * tmp3 &
1337 + del_flux_tmp_mom(fp,2) &
1340 tmp2 = - abs( vel_n(fp) ) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
1341 del_flux(fp,momy_vid,ke) = tmp1 * ( &
1342 gsqrtmomy(fp,ex) * vel_n(fp) + gsqrtmomy(fp,in) * tmp3 &
1343 + del_flux_tmp_mom(fp,3) &
1349 end subroutine atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalvc_lmars
1352 del_flux, del_flux_hyd, & ! (out)
1353 ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, &
1354 rtot, cvtot, cptot, &
1355 gsqrt, g11, g12, g22, gsqrth, gam, g13, g23, nx, ny, nz, &
1356 vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d )
1364 real(rp),
intent(out) :: del_flux(elem%nfptot,lmesh%ne,
prgvar_num)
1365 real(rp),
intent(out) :: del_flux_hyd(elem%nfptot,lmesh%ne,2)
1366 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
1367 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
1368 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
1369 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
1370 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
1371 real(rp),
intent(in) :: dpres_(elem%np*lmesh%nea)
1372 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
1373 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
1374 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
1375 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
1376 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
1377 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
1378 real(rp),
intent(in) :: g11(elem2d%np,lmesh2d%ne)
1379 real(rp),
intent(in) :: g12(elem2d%np,lmesh2d%ne)
1380 real(rp),
intent(in) :: g22(elem2d%np,lmesh2d%ne)
1381 real(rp),
intent(in) :: gsqrth(elem2d%np,lmesh2d%ne)
1382 real(rp),
intent(in) :: gam(elem%np*lmesh%nea)
1383 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
1384 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
1385 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
1386 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
1387 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
1388 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
1389 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
1390 integer,
intent(in) :: im2dto3d(elem%nfptot)
1392 integer :: ke, ip(elem%nfptot), im(elem%nfptot)
1394 real(rp) :: velp(elem%nfptot), velm(elem%nfptot), alpha(elem%nfptot)
1395 real(rp) :: dpresp(elem%nfptot), dpresm(elem%nfptot)
1396 real(rp) :: gsqrtdensm(elem%nfptot), gsqrtdensp(elem%nfptot)
1397 real(rp) :: gsqrtrhotm(elem%nfptot), gsqrtrhotp(elem%nfptot)
1398 real(rp) :: gsqrtddens_p(elem%nfptot), gsqrtddens_m(elem%nfptot)
1399 real(rp) :: gsqrtmomx_p(elem%nfptot), gsqrtmomx_m(elem%nfptot)
1400 real(rp) :: gsqrtmomy_p(elem%nfptot), gsqrtmomy_m(elem%nfptot)
1401 real(rp) :: gsqrtmomz_p(elem%nfptot), gsqrtmomz_m(elem%nfptot)
1402 real(rp) :: gsqrtdrhot_p(elem%nfptot), gsqrtdrhot_m(elem%nfptot)
1403 real(rp) :: phyd_p(elem%nfptot), phyd_m(elem%nfptot)
1404 real(rp) :: gsqrt_p(elem%nfptot), gsqrt_m(elem%nfptot)
1405 real(rp) :: gsqrtv_p(elem%nfptot), gsqrtv_m(elem%nfptot)
1406 real(rp) :: g13_m(elem%nfptot), g13_p(elem%nfptot)
1407 real(rp) :: g23_m(elem%nfptot), g23_p(elem%nfptot)
1408 real(rp) :: g1n_m(elem%nfptot), g2n_m(elem%nfptot)
1409 real(rp) :: gnn_m(elem%nfptot), gnn_p(elem%nfptot)
1410 real(rp) :: gxz_m(elem%nfptot), gxz_p(elem%nfptot)
1411 real(rp) :: gyz_m(elem%nfptot), gyz_p(elem%nfptot)
1412 real(rp) :: rgam2_m(elem%nfptot), rgam2_p(elem%nfptot)
1414 real(rp) :: gamm, rgamm
1416 real(rp) :: rovp0, p0ovr
1420 gamm = cpdry / cvdry
1421 rgamm = cvdry / cpdry
1422 rp0 = 1.0_rp / pres00
1424 p0ovr = pres00 / rdry
1435 do ke=lmesh%NeS, lmesh%NeE
1436 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
1437 ke2d = lmesh%EMap3Dto2D(ke)
1439 gsqrt_m(:) = gsqrt(im)
1440 gsqrt_p(:) = gsqrt(ip)
1442 rgam2_m(:) = 1.0_rp / gam(im)**2
1443 rgam2_p(:) = 1.0_rp / gam(ip)**2
1444 gsqrtv_m(:) = gsqrt_m(:) * rgam2_m(:) / gsqrth(im2dto3d(:),ke2d)
1445 gsqrtv_p(:) = gsqrt_p(:) * rgam2_p(:) / gsqrth(im2dto3d(:),ke2d)
1452 gsqrtddens_m(:) = gsqrt_m(:) * ddens_(im)
1453 gsqrtddens_p(:) = gsqrt_p(:) * ddens_(ip)
1454 gsqrtmomx_m(:) = gsqrt_m(:) * momx_(im)
1455 gsqrtmomx_p(:) = gsqrt_p(:) * momx_(ip)
1456 gsqrtmomy_m(:) = gsqrt_m(:) * momy_(im)
1457 gsqrtmomy_p(:) = gsqrt_p(:) * momy_(ip)
1458 gsqrtmomz_m(:) = gsqrt_m(:) * momz_(im)
1459 gsqrtmomz_p(:) = gsqrt_p(:) * momz_(ip)
1460 gsqrtdrhot_m(:) = gsqrt_m(:) * drhot_(im)
1461 gsqrtdrhot_p(:) = gsqrt_p(:) * drhot_(ip)
1462 phyd_m(:) = pres_hyd(im)
1463 phyd_p(:) = pres_hyd(ip)
1465 gxz_m(:) = rgam2_m(:) * ( g11(im2dto3d(:),ke2d) * g13_m(:) + g12(im2dto3d(:),ke2d) * g23_m(:) )
1466 gxz_p(:) = rgam2_p(:) * ( g11(im2dto3d(:),ke2d) * g13_p(:) + g12(im2dto3d(:),ke2d) * g23_p(:) )
1468 gyz_m(:) = rgam2_m(:) * ( g12(im2dto3d(:),ke2d) * g13_m(:) + g22(im2dto3d(:),ke2d) * g23_m(:) )
1469 gyz_p(:) = rgam2_p(:) * ( g12(im2dto3d(:),ke2d) * g13_p(:) + g22(im2dto3d(:),ke2d) * g23_p(:) )
1471 g1n_m(:) = rgam2_m(:) * ( g11(im2dto3d(:),ke2d) * nx(:,ke) + g12(im2dto3d(:),ke2d) * ny(:,ke) )
1472 g2n_m(:) = rgam2_p(:) * ( g12(im2dto3d(:),ke2d) * nx(:,ke) + g22(im2dto3d(:),ke2d) * ny(:,ke) )
1474 gnn_m(:) = rgam2_m(:) * ( g11(im2dto3d(:),ke2d) * abs( nx(:,ke) ) + g22(im2dto3d(:),ke2d) * abs( ny(:,ke) ) ) &
1475 + ( 1.0_rp / gsqrtv_m(:)**2 + g13_m(:) * gxz_m(:) + g23_m(:) * gyz_m(:) ) * abs( nz(:,ke) )
1476 gnn_p(:) = rgam2_p(:) * ( g11(im2dto3d(:),ke2d) * abs( nx(:,ke) ) + g22(im2dto3d(:),ke2d) * abs( ny(:,ke) ) ) &
1477 + ( 1.0_rp / gsqrtv_p(:)**2 + g13_p(:) * gxz_p(:) + g23_p(:) * gyz_p(:) ) * abs( nz(:,ke) )
1479 gsqrtdensm(:) = gsqrtddens_m(:) + gsqrt_m(:) * dens_hyd(im)
1480 gsqrtdensp(:) = gsqrtddens_p(:) + gsqrt_p(:) * dens_hyd(ip)
1482 gsqrtrhotm(:) = gsqrt_m(:) * p0ovr * (phyd_m(:) * rp0)**rgamm + gsqrtdrhot_m(:)
1483 gsqrtrhotp(:) = gsqrt_p(:) * p0ovr * (phyd_p(:) * rp0)**rgamm + gsqrtdrhot_p(:)
1485 velm(:) = ( gsqrtmomx_m(:) * nx(:,ke) + gsqrtmomy_m(:) * ny(:,ke) &
1486 + ( ( gsqrtmomz_m(:) / gsqrtv_m(:) &
1487 + g13_m(:) * gsqrtmomx_m(:) + g23_m(:) * gsqrtmomy_m(:) ) * nz(:,ke) ) &
1489 velp(:) = ( gsqrtmomx_p(:) * nx(:,ke) + gsqrtmomy_p(:) * ny(:,ke) &
1490 + ( ( gsqrtmomz_p(:) / gsqrtv_p(:) &
1491 + g13_p(:) * gsqrtmomx_p(:) + g23_p(:) * gsqrtmomy_p(:) ) * nz(:,ke) ) &
1498 dpresm(:) = dpres_(im)
1499 dpresp(:) = dpres_(ip)
1501 alpha(:) = max( sqrt( gnn_m(:) * gamm * ( phyd_m(:) + dpresm(:) ) * gsqrt_m(:) / gsqrtdensm(:) ) + abs(velm(:)), &
1502 sqrt( gnn_p(:) * gamm * ( phyd_p(:) + dpresp(:) ) * gsqrt_p(:) / gsqrtdensp(:) ) + abs(velp(:)) )
1504 del_flux(:,ke,dens_vid) = 0.5_rp * ( &
1505 ( gsqrtdensp(:) * velp(:) - gsqrtdensm(:) * velm(:) ) &
1506 - alpha(:) * ( gsqrtddens_p(:) - gsqrtddens_m(:) ) )
1508 del_flux(:,ke,momx_vid ) = 0.5_rp * ( &
1509 ( gsqrtmomx_p(:) * velp(:) - gsqrtmomx_m(:) * velm(:) ) &
1510 + ( gsqrt_p(:) * ( g1n_m(:) + gxz_p(:) * nz(:,ke)) * dpresp(:) &
1511 - gsqrt_m(:) * ( g1n_m(:) + gxz_m(:) * nz(:,ke)) * dpresm(:) ) &
1512 - alpha(:) * ( gsqrtmomx_p(:) - gsqrtmomx_m(:) ) )
1514 del_flux(:,ke,momy_vid ) = 0.5_rp * ( &
1515 ( gsqrtmomy_p(:) * velp(:) - gsqrtmomy_m(:) * velm(:) ) &
1516 + ( gsqrt_p(:) * ( g2n_m(:) + gyz_p(:) * nz(:,ke) ) * dpresp(:) &
1517 - gsqrt_m(:) * ( g2n_m(:) + gyz_m(:) * nz(:,ke) ) * dpresm(:) ) &
1518 - alpha(:) * ( gsqrtmomy_p(:) - gsqrtmomy_m(:) ) )
1520 del_flux(:,ke,momz_vid ) = 0.5_rp * ( &
1521 ( gsqrtmomz_p(:) * velp(:) - gsqrtmomz_m(:) * velm(:) ) &
1522 + ( gsqrt_p(:) * dpresp(:) / gsqrtv_p(:) &
1523 - gsqrt_m(:) * dpresm(:) / gsqrtv_m(:) ) * nz(:,ke) &
1524 - alpha(:) * ( gsqrtmomz_p(:) - gsqrtmomz_m(:) ) )
1526 del_flux(:,ke,rhot_vid) = 0.5_rp * ( &
1527 ( gsqrtrhotp(:) * velp(:) - gsqrtrhotm(:) * velm(:) ) &
1528 - alpha(:) * ( gsqrtdrhot_p(:) - gsqrtdrhot_m(:) ) )
1530 del_flux_hyd(:,ke,1) = 0.5_rp * ( &
1531 gsqrtv_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke) ) * phyd_p(:) &
1532 - gsqrtv_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke) ) * phyd_m(:) )
1534 del_flux_hyd(:,ke,2) = 0.5_rp * ( &
1535 gsqrtv_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke) ) * phyd_p(:) &
1536 - gsqrtv_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke) ) * phyd_m(:) )
1545 ddens_, momx_, momy_, momz_, drhot_, dpres, &
1546 dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, &
1547 gsqrt, g11, g12, g22, gsqrth, gam, g13, g23, nx, ny, nz, &
1548 vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d )
1556 real(rp),
intent(out) :: del_flux(elem%nfptot,
prgvar_num,lmesh%ne)
1557 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
1558 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
1559 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
1560 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
1561 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
1562 real(rp),
intent(in) :: dpres(elem%np*lmesh%nea)
1563 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
1564 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
1565 real(rp),
intent(in) :: therm_hyd(elem%np*lmesh%nea)
1566 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
1567 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
1568 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
1569 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
1570 real(rp),
intent(in) :: g11(elem2d%np,lmesh2d%ne)
1571 real(rp),
intent(in) :: g12(elem2d%np,lmesh2d%ne)
1572 real(rp),
intent(in) :: g22(elem2d%np,lmesh2d%ne)
1573 real(rp),
intent(in) :: gsqrth(elem2d%np,lmesh2d%ne)
1574 real(rp),
intent(in) :: gam(elem%np*lmesh%nea)
1575 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
1576 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
1577 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
1578 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
1579 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
1580 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
1581 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
1582 integer,
intent(in) :: im2dto3d(elem%nfptot)
1584 integer :: ke, fp, i, ip(elem%nfptot), im(elem%nfptot)
1586 real(rp) :: vel(elem%nfptot,2), alpha(elem%nfptot)
1587 real(rp) :: dpres_(elem%nfptot,2)
1588 real(rp) :: gsqrtdens(elem%nfptot,2)
1589 real(rp) :: gsqrtrhot(elem%nfptot,2)
1590 real(rp) :: gsqrtddens(elem%nfptot,2)
1591 real(rp) :: gsqrtmomx(elem%nfptot,2)
1592 real(rp) :: gsqrtmomy(elem%nfptot,2)
1593 real(rp) :: gsqrtmomz(elem%nfptot,2)
1594 real(rp) :: gsqrtdrhot(elem%nfptot,2)
1595 real(rp) :: phyd_(elem%nfptot,2)
1596 real(rp) :: gsqrt_(elem%nfptot,2)
1597 real(rp) :: gsqrtv_(elem%nfptot,2)
1598 real(rp) :: rgsqrtv(elem%nfptot,2)
1599 real(rp) :: g13_(elem%nfptot,2)
1600 real(rp) :: g23_(elem%nfptot,2)
1601 real(rp) :: gxz_(elem%nfptot,2)
1602 real(rp) :: gyz_(elem%nfptot,2)
1603 real(rp) :: g1n_(elem%nfptot,2)
1604 real(rp) :: g2n_(elem%nfptot,2)
1606 real(rp) :: gnn_m, gnn_p
1607 real(rp) :: rgam2(elem%nfptot,2)
1609 real(rp) :: gamm, rgamm
1611 real(rp) :: rovp0, p0ovr
1613 integer,
parameter :: in = 1
1614 integer,
parameter :: ex = 2
1616 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
1617 real(rp) :: del_flux_tmp_mom(elem%nfptot,3)
1619 real(rp) :: g11_, g12_, g22_
1622 gamm = cpdry / cvdry
1623 rgamm = cvdry / cpdry
1624 rp0 = 1.0_rp / pres00
1626 p0ovr = pres00 / rdry
1638 do ke=lmesh%NeS, lmesh%NeE
1639 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
1640 ke2d = lmesh%EMap3Dto2D(ke)
1642 gsqrt_(:,in) = gsqrt(im)
1643 gsqrt_(:,ex) = gsqrt(ip)
1645 rgam2(:,in) = 1.0_rp / gam(im)**2
1646 rgam2(:,ex) = 1.0_rp / gam(ip)**2
1647 gsqrtv_(:,in) = gsqrt_(:,in) * rgam2(:,in) / gsqrth(im2dto3d(:),ke2d)
1648 gsqrtv_(:,ex) = gsqrt_(:,ex) * rgam2(:,ex) / gsqrth(im2dto3d(:),ke2d)
1649 rgsqrtv(:,:) = 1.0_rp / gsqrtv_(:,:)
1651 g13_(:,in) = g13(im)
1652 g13_(:,ex) = g13(ip)
1653 g23_(:,in) = g23(im)
1654 g23_(:,ex) = g23(ip)
1656 gsqrtddens(:,in) = gsqrt_(:,in) * ddens_(im)
1657 gsqrtddens(:,ex) = gsqrt_(:,ex) * ddens_(ip)
1658 gsqrtmomx(:,in) = gsqrt_(:,in) * momx_(im)
1659 gsqrtmomx(:,ex) = gsqrt_(:,ex) * momx_(ip)
1660 gsqrtmomy(:,in) = gsqrt_(:,in) * momy_(im)
1661 gsqrtmomy(:,ex) = gsqrt_(:,ex) * momy_(ip)
1662 gsqrtmomz(:,in) = gsqrt_(:,in) * momz_(im)
1663 gsqrtmomz(:,ex) = gsqrt_(:,ex) * momz_(ip)
1664 gsqrtdrhot(:,in) = gsqrt_(:,in) * drhot_(im)
1665 gsqrtdrhot(:,ex) = gsqrt_(:,ex) * drhot_(ip)
1667 phyd_(:,in) = pres_hyd(im)
1668 phyd_(:,ex) = pres_hyd(ip)
1669 dpres_(:,in) = dpres(im)
1670 dpres_(:,ex) = dpres(ip)
1672 gsqrtdens(:,in) = gsqrtddens(:,in) + gsqrt_(:,in) * dens_hyd(im)
1673 gsqrtdens(:,ex) = gsqrtddens(:,ex) + gsqrt_(:,ex) * dens_hyd(ip)
1675 gsqrtrhot(:,in) = gsqrt_(:,in) * therm_hyd(im) + gsqrtdrhot(:,in)
1676 gsqrtrhot(:,ex) = gsqrt_(:,ex) * therm_hyd(ip) + gsqrtdrhot(:,ex)
1678 vel(:,in) = ( gsqrtmomx(:,in) * nx(:,ke) + gsqrtmomy(:,in) * ny(:,ke) &
1679 + ( ( gsqrtmomz(:,in) * rgsqrtv(:,in) &
1680 + g13_(:,in) * gsqrtmomx(:,in) + g23_(:,in) * gsqrtmomy(:,in) ) * nz(:,ke) ) &
1682 vel(:,ex) = ( gsqrtmomx(:,ex) * nx(:,ke) + gsqrtmomy(:,ex) * ny(:,ke) &
1683 + ( ( gsqrtmomz(:,ex) * rgsqrtv(:,ex) &
1684 + g13_(:,ex) * gsqrtmomx(:,ex) + g23_(:,ex) * gsqrtmomy(:,ex) ) * nz(:,ke) ) &
1687 do fp=1, elem%NfpTot
1688 g11_ = g11(im2dto3d(fp),ke2d); g12_ = g12(im2dto3d(fp),ke2d); g22_ = g22(im2dto3d(fp),ke2d)
1690 gxz_(fp,in) = rgam2(fp,in) * ( g11_ * g13_(fp,in) + g12_ * g23_(fp,in) )
1691 gxz_(fp,ex) = rgam2(fp,ex) * ( g11_ * g13_(fp,ex) + g12_ * g23_(fp,ex) )
1693 gyz_(fp,in) = rgam2(fp,in) * ( g12_ * g13_(fp,in) + g22_ * g23_(fp,in) )
1694 gyz_(fp,ex) = rgam2(fp,ex) * ( g12_ * g13_(fp,ex) + g22_ * g23_(fp,ex) )
1696 g1n_(fp,in) = rgam2(fp,in) * ( g11_ * nx(fp,ke) + g12_ * ny(fp,ke) )
1697 g1n_(fp,ex) = rgam2(fp,ex) * ( g11_ * nx(fp,ke) + g12_ * ny(fp,ke) )
1699 g2n_(fp,in) = rgam2(fp,in) * ( g12_ * nx(fp,ke) + g22_ * ny(fp,ke) )
1700 g2n_(fp,ex) = rgam2(fp,ex) * ( g12_ * nx(fp,ke) + g22_ * ny(fp,ke) )
1702 do fp=1, elem%NfpTot
1703 g11_ = g11(im2dto3d(fp),ke2d); g22_ = g22(im2dto3d(fp),ke2d)
1704 tmp1 = abs( g11_ * nx(fp,ke) ) + abs( g22_ * ny(fp,ke) )
1706 gnn_m = rgam2(fp,in) * tmp1 &
1707 + ( 1.0_rp * rgsqrtv(fp,in)**2 + g13_(fp,in) * gxz_(fp,in) + g23_(fp,in) * gyz_(fp,in) ) * abs( nz(fp,ke) )
1708 gnn_p = rgam2(fp,ex) * tmp1 &
1709 + ( 1.0_rp * rgsqrtv(fp,ex)**2 + g13_(fp,ex) * gxz_(fp,ex) + g23_(fp,ex) * gyz_(fp,ex) ) * abs( nz(fp,ke) )
1711 alpha(fp) = max( sqrt( gnn_m * gamm * ( phyd_(fp,in) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in) ) + abs(vel(fp,in)), &
1712 sqrt( gnn_p * gamm * ( phyd_(fp,ex) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex) ) + abs(vel(fp,ex)) )
1715 do fp=1, elem%NfpTot
1716 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1718 tmp2 = - alpha(fp) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
1719 del_flux(fp,dens_vid,ke) = tmp1 * ( &
1720 gsqrtdens(fp,ex) * vel(fp,ex) - gsqrtdens(fp,in) * vel(fp,in) &
1723 tmp2 = - alpha(fp) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
1724 del_flux(fp,rhot_vid,ke) = tmp1 * ( &
1725 gsqrtrhot(fp,ex) * vel(fp,ex) - gsqrtrhot(fp,in) * vel(fp,in) &
1729 do fp=1, elem%NfpTot
1730 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
1731 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
1733 del_flux_tmp_mom(fp,1) = &
1734 ( tmp3 * rgsqrtv(fp,ex) &
1735 - tmp4 * rgsqrtv(fp,in) ) * nz(fp,ke)
1737 del_flux_tmp_mom(fp,2) = &
1738 ( g1n_(fp,ex) + gxz_(fp,ex) * nz(fp,ke) ) * tmp3 &
1739 - ( g1n_(fp,in) + gxz_(fp,in) * nz(fp,ke) ) * tmp4
1741 del_flux_tmp_mom(fp,3) = &
1742 ( g2n_(fp,ex) + gyz_(fp,ex) * nz(fp,ke) ) * tmp3 &
1743 - ( g2n_(fp,in) + gyz_(fp,in) * nz(fp,ke) ) * tmp4
1745 do fp=1, elem%NfpTot
1746 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1748 tmp2 = - alpha(fp) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
1749 del_flux(fp,momz_vid,ke) = tmp1 * ( &
1750 gsqrtmomz(fp,ex) * vel(fp,ex) - gsqrtmomz(fp,in) * vel(fp,in) &
1751 + del_flux_tmp_mom(fp,1) &
1754 do fp=1, elem%NfpTot
1755 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
1757 tmp2 = - alpha(fp) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
1758 del_flux(fp,momx_vid,ke) = tmp1 * ( &
1759 gsqrtmomx(fp,ex) * vel(fp,ex) - gsqrtmomx(fp,in) * vel(fp,in) &
1760 + del_flux_tmp_mom(fp,2) &
1763 tmp2 = - alpha(fp) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
1764 del_flux(fp,momy_vid,ke) = tmp1 * ( &
1765 gsqrtmomy(fp,ex) * vel(fp,ex) - gsqrtmomy(fp,in) * vel(fp,in) &
1766 + del_flux_tmp_mom(fp,3) &
module FElib / Fluid dyn solver / Atmosphere / Nonhydrostatic model / Common
integer, parameter, public prgvar_momy_id
integer, parameter, public prgvar_ddens_id
integer, parameter, public prgvar_momz_id
integer, parameter, public prgvar_momx_id
integer, parameter, public prgvar_drhot_id
integer, parameter, public prgvar_num
module FElib / Fluid dyn solver / Atmosphere / Nonhydrostatic model / HEVE / Numflux
subroutine, public atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalvc(del_flux, ddens_, momx_, momy_, momz_, drhot_, dpres, dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, gsqrt, g13, g23, nx, ny, nz, vmapm, vmapp, lmesh, elem, lmesh2d, elem2d)
subroutine, public atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalvc_asis(del_flux, del_flux_hyd, ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, rtot, cvtot, cptot, gsqrt, g13, g23, nx, ny, nz, vmapm, vmapp, lmesh, elem, lmesh2d, elem2d)
subroutine, public atm_dyn_dgm_nonhydro3d_rhot_heve_add_bnd_contrib_generalvc(prgvar_dt, ddens_, momx_, momy_, momz_, drhot_, dpres, dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, gsqrt, g13, g23, nx, ny, nz, vmapm, vmapp, lmesh, elem, lmesh2d, elem2d, elem3d_optr)
subroutine, public atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalhvc_asis(del_flux, del_flux_hyd, ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, rtot, cvtot, cptot, gsqrt, g11, g12, g22, gsqrth, gam, g13, g23, nx, ny, nz, vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d)
subroutine, public atm_dyn_dgm_nonhydro3d_rhot_heve_numflux_get_generalhvc(del_flux, ddens_, momx_, momy_, momz_, drhot_, dpres, dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, gsqrt, g11, g12, g22, gsqrth, gam, g13, g23, nx, ny, nz, vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d)
module FElib / Element / Base
module FElib / Element / hexahedron
module FElib / Element / Operation / Base
module FElib / Mesh / Local 2D
module FElib / Mesh / Local 3D
module FElib / Data / base
module FElib / Mesh / Base 3D
module FElib / Data / base
Module common / sparsemat.
Derived type representing a 2D reference element.
Derived type representing a 3D reference element.
Derived type representing a hexahedral element.
Base type for elementwise operations.
Derived type representing a local mesh for 2D domain.
Derived type to manage a local 3D computational domain.
Derived type representing a field with 3D local mesh.
Derived type to manage a computational mesh (base type for 3D domain)
Derived type representing a field with 3D mesh.