70 del_flux, del_flux_hyd, & ! (out)
71 ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, &
73 gsqrt, g13, g23, nx, ny, nz, &
74 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d )
82 real(rp),
intent(out) :: del_flux(elem%nfptot,lmesh%ne,
prgvar_num)
83 real(rp),
intent(out) :: del_flux_hyd(elem%nfptot,lmesh%ne,2)
84 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
85 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
86 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
87 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
88 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
89 real(rp),
intent(in) :: dpres_(elem%np*lmesh%nea)
90 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
91 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
92 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
93 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
94 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
95 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
96 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
97 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
98 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
99 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
100 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
101 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
102 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
104 integer :: ke, i, ip(elem%nfptot), im(elem%nfptot)
106 real(rp) :: velp(elem%nfptot), velm(elem%nfptot), alpha(elem%nfptot)
107 real(rp) :: velhp(elem%nfptot), velhm(elem%nfptot)
108 real(rp) :: dpresp(elem%nfptot), dpresm(elem%nfptot)
109 real(rp) :: gsqrtdensm(elem%nfptot), gsqrtdensp(elem%nfptot)
110 real(rp) :: gsqrtrhotm(elem%nfptot), gsqrtrhotp(elem%nfptot)
111 real(rp) :: gsqrtddens_p(elem%nfptot), gsqrtddens_m(elem%nfptot)
112 real(rp) :: gsqrtmomx_p(elem%nfptot), gsqrtmomx_m(elem%nfptot)
113 real(rp) :: gsqrtmomy_p(elem%nfptot), gsqrtmomy_m(elem%nfptot)
114 real(rp) :: gsqrtmomz_p(elem%nfptot), gsqrtmomz_m(elem%nfptot)
115 real(rp) :: gsqrtdrhot_p(elem%nfptot), gsqrtdrhot_m(elem%nfptot)
116 real(rp) :: phyd_p(elem%nfptot), phyd_m(elem%nfptot)
117 real(rp) :: gsqrt_p(elem%nfptot), gsqrt_m(elem%nfptot)
118 real(rp) :: gsqrtv_p(elem%nfptot), gsqrtv_m(elem%nfptot)
119 real(rp) :: g13_m(elem%nfptot), g13_p(elem%nfptot)
120 real(rp) :: g23_m(elem%nfptot), g23_p(elem%nfptot)
121 real(rp) :: swv(elem%nfptot)
123 real(rp) :: gamm, rgamm
125 real(rp) :: rovp0, p0ovr
129 rgamm = cvdry / cpdry
130 rp0 = 1.0_rp / pres00
132 p0ovr = pres00 / rdry
143 do ke=lmesh%NeS, lmesh%NeE
144 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
145 ke2d = lmesh%EMap3Dto2D(ke)
147 gsqrt_m(:) = gsqrt(im)
148 gsqrt_p(:) = gsqrt(ip)
149 gsqrtv_m(:) = gsqrt_m(:)
150 gsqrtv_p(:) = gsqrt_p(:)
157 gsqrtddens_m(:) = gsqrt_m(:) * ddens_(im)
158 gsqrtddens_p(:) = gsqrt_p(:) * ddens_(ip)
159 gsqrtmomx_m(:) = gsqrt_m(:) * momx_(im)
160 gsqrtmomx_p(:) = gsqrt_p(:) * momx_(ip)
161 gsqrtmomy_m(:) = gsqrt_m(:) * momy_(im)
162 gsqrtmomy_p(:) = gsqrt_p(:) * momy_(ip)
163 gsqrtmomz_m(:) = gsqrt_m(:) * momz_(im)
164 gsqrtmomz_p(:) = gsqrt_p(:) * momz_(ip)
165 gsqrtdrhot_m(:) = gsqrt_m(:) * drhot_(im)
166 gsqrtdrhot_p(:) = gsqrt_p(:) * drhot_(ip)
167 phyd_m(:) = pres_hyd(im)
168 phyd_p(:) = pres_hyd(ip)
169 swv(:) = 1.0_rp - nz(:,ke)**2
171 gsqrtdensm(:) = gsqrtddens_m(:) + gsqrt_m(:) * dens_hyd(im)
172 gsqrtdensp(:) = gsqrtddens_p(:) + gsqrt_p(:) * dens_hyd(ip)
174 gsqrtrhotm(:) = gsqrt_m(:) * p0ovr * (phyd_m(:) * rp0)**rgamm + gsqrtdrhot_m(:)
175 gsqrtrhotp(:) = gsqrt_p(:) * p0ovr * (phyd_p(:) * rp0)**rgamm + gsqrtdrhot_p(:)
177 velhm(:) = ( gsqrtmomx_m(:) * nx(:,ke) + gsqrtmomy_m(:) * ny(:,ke) ) / gsqrtdensm(:)
178 velhp(:) = ( gsqrtmomx_p(:) * nx(:,ke) + gsqrtmomy_p(:) * ny(:,ke) ) / gsqrtdensp(:)
180 velm(:) = velhm(:) + ( &
181 gsqrtmomz_m(:) / gsqrtv_m(:) + g13_m(:) * gsqrtmomx_m(:) + g23_m(:) * gsqrtmomy_m(:) ) / gsqrtdensm(:) * nz(:,ke)
182 velp(:) = velhp(:) + ( &
183 gsqrtmomz_p(:) / gsqrtv_p(:) + g13_p(:) * gsqrtmomx_p(:) + g23_p(:) * gsqrtmomy_p(:) ) / gsqrtdensp(:) * nz(:,ke)
189 dpresm(:) = dpres_(im)
190 dpresp(:) = dpres_(ip)
192 alpha(:) = swv(:) * max( sqrt( gamm * ( phyd_m(:) + dpresm(:) ) * gsqrt_m(:) / gsqrtdensm(:) ) + abs(velm(:)), &
193 sqrt( gamm * ( phyd_p(:) + dpresp(:) ) * gsqrt_p(:) / gsqrtdensp(:) ) + abs(velp(:)) )
195 del_flux(:,ke,dens_vid) = 0.5_rp * ( &
196 ( gsqrtdensp(:) * velhp(:) - gsqrtdensm(:) * velhm(:) ) &
197 - alpha(:) * ( gsqrtddens_p(:) - gsqrtddens_m(:) ) )
199 del_flux(:,ke,momx_vid ) = 0.5_rp * ( &
200 ( gsqrtmomx_p(:) * velp(:) - gsqrtmomx_m(:) * velm(:) ) &
201 + ( gsqrt_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke)) * dpresp(:) &
202 - gsqrt_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke)) * dpresm(:) ) &
203 - alpha(:) * ( gsqrtmomx_p(:) - gsqrtmomx_m(:) ) )
205 del_flux(:,ke,momy_vid ) = 0.5_rp * ( &
206 ( gsqrtmomy_p(:) * velp(:) - gsqrtmomy_m(:) * velm(:) ) &
207 + ( gsqrt_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke)) * dpresp(:) &
208 - gsqrt_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke)) * dpresm(:) ) &
209 - alpha(:) * ( gsqrtmomy_p(:) - gsqrtmomy_m(:) ) )
211 del_flux(:,ke,momz_vid ) = 0.5_rp * ( &
212 ( gsqrtmomz_p(:) * velp(:) - gsqrtmomz_m(:) * velm(:) ) &
213 - alpha(:) * ( gsqrtmomz_p(:) - gsqrtmomz_m(:) ) )
215 del_flux(:,ke,rhot_vid) = 0.5_rp * ( &
216 ( gsqrtrhotp(:) * velhp(:) - gsqrtrhotm(:) * velhm(:) ) &
217 - alpha(:) * ( gsqrtdrhot_p(:) - gsqrtdrhot_m(:) ) )
219 del_flux_hyd(:,ke,1) = 0.5_rp * ( &
220 gsqrtv_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke) ) * phyd_p(:) &
221 - gsqrtv_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke) ) * phyd_m(:) )
223 del_flux_hyd(:,ke,2) = 0.5_rp * ( &
224 gsqrtv_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke) ) * phyd_p(:) &
225 - gsqrtv_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke) ) * phyd_m(:) )
234 ddens_, momx_, momy_, momz_, drhot_, dpres, &
235 dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, &
236 gsqrt, g13, g23, nx, ny, nz, &
237 vmapm, vmapp, lmesh, elem, lmesh2d, elem2d )
245 real(rp),
intent(out) :: del_flux(elem%nfptot,
prgvar_num,lmesh%ne)
246 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
247 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
248 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
249 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
250 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
251 real(rp),
intent(in) :: dpres(elem%np*lmesh%nea)
252 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
253 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
254 real(rp),
intent(in) :: therm_hyd(elem%np*lmesh%nea)
255 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
256 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
257 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
258 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
259 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
260 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
261 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
262 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
263 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
264 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
265 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
267 integer :: ke, fp, i, ip(elem%nfptot), im(elem%nfptot)
269 real(rp) :: velh(elem%nfptot,2), vel(elem%nfptot,2)
270 real(rp) :: alpha(elem%nfptot)
271 real(rp) :: dpres_(elem%nfptot,2)
272 real(rp) :: gsqrtdens(elem%nfptot,2)
273 real(rp) :: gsqrtrhot(elem%nfptot,2)
274 real(rp) :: gsqrtddens(elem%nfptot,2)
275 real(rp) :: gsqrtmomx(elem%nfptot,2)
276 real(rp) :: gsqrtmomy(elem%nfptot,2)
277 real(rp) :: gsqrtmomz(elem%nfptot,2)
278 real(rp) :: gsqrtdrhot(elem%nfptot,2)
279 real(rp) :: phyd_(elem%nfptot,2)
280 real(rp) :: gsqrt_(elem%nfptot,2)
281 real(rp) :: gsqrtv_(elem%nfptot,2)
282 real(rp) :: rgsqrtv(elem%nfptot,2)
283 real(rp) :: g13_(elem%nfptot,2)
284 real(rp) :: g23_(elem%nfptot,2)
287 real(rp) :: gamm, rgamm
289 real(rp) :: rovp0, p0ovr
291 integer,
parameter :: in = 1
292 integer,
parameter :: ex = 2
294 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
295 real(rp) :: del_flux_tmp_mom(elem%nfptot,2)
299 rgamm = cvdry / cpdry
300 rp0 = 1.0_rp / pres00
302 p0ovr = pres00 / rdry
313 do ke=lmesh%NeS, lmesh%NeE
314 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
315 ke2d = lmesh%EMap3Dto2D(ke)
317 gsqrt_(:,in) = gsqrt(im)
318 gsqrt_(:,ex) = gsqrt(ip)
319 gsqrtv_(:,:) = gsqrt_(:,:)
320 rgsqrtv(:,:) = 1.0_rp / gsqrtv_(:,:)
327 gsqrtddens(:,in) = gsqrt_(:,in) * ddens_(im)
328 gsqrtddens(:,ex) = gsqrt_(:,ex) * ddens_(ip)
329 gsqrtmomx(:,in) = gsqrt_(:,in) * momx_(im)
330 gsqrtmomx(:,ex) = gsqrt_(:,ex) * momx_(ip)
331 gsqrtmomy(:,in) = gsqrt_(:,in) * momy_(im)
332 gsqrtmomy(:,ex) = gsqrt_(:,ex) * momy_(ip)
333 gsqrtmomz(:,in) = gsqrt_(:,in) * momz_(im)
334 gsqrtmomz(:,ex) = gsqrt_(:,ex) * momz_(ip)
335 gsqrtdrhot(:,in) = gsqrt_(:,in) * drhot_(im)
336 gsqrtdrhot(:,ex) = gsqrt_(:,ex) * drhot_(ip)
338 phyd_(:,in) = pres_hyd(im)
339 phyd_(:,ex) = pres_hyd(ip)
340 dpres_(:,in) = dpres(im)
341 dpres_(:,ex) = dpres(ip)
343 gsqrtdens(:,in) = gsqrtddens(:,in) + gsqrt_(:,in) * dens_hyd(im)
344 gsqrtdens(:,ex) = gsqrtddens(:,ex) + gsqrt_(:,ex) * dens_hyd(ip)
346 gsqrtrhot(:,in) = gsqrt_(:,in) * therm_hyd(im) + gsqrtdrhot(:,in)
347 gsqrtrhot(:,ex) = gsqrt_(:,ex) * therm_hyd(ip) + gsqrtdrhot(:,ex)
349 velh(:,in) = ( gsqrtmomx(:,in) * nx(:,ke) + gsqrtmomy(:,in) * ny(:,ke) ) / gsqrtdens(:,in)
350 velh(:,ex) = ( gsqrtmomx(:,ex) * nx(:,ke) + gsqrtmomy(:,ex) * ny(:,ke) ) / gsqrtdens(:,ex)
352 vel(:,in) = velh(:,in) &
353 + ( ( ( gsqrtmomz(:,in) * rgsqrtv(:,in) &
354 + g13_(:,in) * gsqrtmomx(:,in) + g23_(:,in) * gsqrtmomy(:,in) ) * nz(:,ke) ) ) / gsqrtdens(:,in)
355 vel(:,ex) = velh(:,ex) &
356 + ( ( ( gsqrtmomz(:,ex) * rgsqrtv(:,ex) &
357 + g13_(:,ex) * gsqrtmomx(:,ex) + g23_(:,ex) * gsqrtmomy(:,ex) ) * nz(:,ke) ) ) / gsqrtdens(:,ex)
360 swv = 1.0_rp - nz(fp,ke)**2
361 alpha(fp) = swv * max( sqrt( gamm * ( phyd_(fp,in) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in) ) + abs(vel(fp,in)), &
362 sqrt( gamm * ( phyd_(fp,ex) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex) ) + abs(vel(fp,ex)) )
365 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
367 tmp2 = - alpha(fp) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
368 del_flux(fp,dens_vid,ke) = tmp1 * ( &
369 gsqrtdens(fp,ex) * velh(fp,ex) - gsqrtdens(fp,in) * velh(fp,in) &
372 tmp2 = - alpha(fp) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
373 del_flux(fp,rhot_vid,ke) = tmp1 * ( &
374 gsqrtrhot(fp,ex) * velh(fp,ex) - gsqrtrhot(fp,in) * velh(fp,in) &
378 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
380 tmp2 = - alpha(fp) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
381 del_flux(fp,momz_vid,ke) = tmp1 * ( &
382 gsqrtmomz(fp,ex) * vel(fp,ex) - gsqrtmomz(fp,in) * vel(fp,in) &
387 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
388 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
390 del_flux_tmp_mom(fp,1) = &
391 ( nx(fp,ke) + g13_(fp,ex) * nz(fp,ke) ) * tmp3 &
392 - ( nx(fp,ke) + g13_(fp,in) * nz(fp,ke) ) * tmp4
394 del_flux_tmp_mom(fp,2) = &
395 ( ny(fp,ke) + g23_(fp,ex) * nz(fp,ke) ) * tmp3 &
396 - ( ny(fp,ke) + g23_(fp,in) * nz(fp,ke) ) * tmp4
399 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
401 tmp2 = - alpha(fp) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
402 del_flux(fp,momx_vid,ke) = tmp1 * ( &
403 gsqrtmomx(fp,ex) * vel(fp,ex) - gsqrtmomx(fp,in) * vel(fp,in) &
404 + del_flux_tmp_mom(fp,1) &
407 tmp2 = - alpha(fp) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
408 del_flux(fp,momy_vid,ke) = tmp1 * ( &
409 gsqrtmomy(fp,ex) * vel(fp,ex) - gsqrtmomy(fp,in) * vel(fp,in) &
410 + del_flux_tmp_mom(fp,2) &
420 del_flux, del_flux_hyd, & ! (out)
421 ddens_, momx_, momy_, momz_, drhot_, dpres_, dens_hyd, pres_hyd, &
422 rtot, cvtot, cptot, &
423 gsqrt, g11, g12, g22, gsqrth, g13, g23, nx, ny, nz, &
424 vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d )
432 real(rp),
intent(out) :: del_flux(elem%nfptot,lmesh%ne,
prgvar_num)
433 real(rp),
intent(out) :: del_flux_hyd(elem%nfptot,lmesh%ne,2)
434 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
435 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
436 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
437 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
438 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
439 real(rp),
intent(in) :: dpres_(elem%np*lmesh%nea)
440 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
441 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
442 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
443 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
444 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
445 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
446 real(rp),
intent(in) :: g11(elem2d%np,lmesh2d%ne)
447 real(rp),
intent(in) :: g12(elem2d%np,lmesh2d%ne)
448 real(rp),
intent(in) :: g22(elem2d%np,lmesh2d%ne)
449 real(rp),
intent(in) :: gsqrth(elem2d%np,lmesh2d%ne)
450 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
451 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
452 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
453 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
454 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
455 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
456 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
457 integer,
intent(in) :: im2dto3d(elem%nfptot)
459 integer :: ke, ip(elem%nfptot), im(elem%nfptot)
461 real(rp) :: velp(elem%nfptot), velm(elem%nfptot), alpha(elem%nfptot)
462 real(rp) :: velhp(elem%nfptot), velhm(elem%nfptot)
463 real(rp) :: dpresp(elem%nfptot), dpresm(elem%nfptot)
464 real(rp) :: gsqrtdensm(elem%nfptot), gsqrtdensp(elem%nfptot)
465 real(rp) :: gsqrtrhotm(elem%nfptot), gsqrtrhotp(elem%nfptot)
466 real(rp) :: gsqrtddens_p(elem%nfptot), gsqrtddens_m(elem%nfptot)
467 real(rp) :: gsqrtmomx_p(elem%nfptot), gsqrtmomx_m(elem%nfptot)
468 real(rp) :: gsqrtmomy_p(elem%nfptot), gsqrtmomy_m(elem%nfptot)
469 real(rp) :: gsqrtmomz_p(elem%nfptot), gsqrtmomz_m(elem%nfptot)
470 real(rp) :: gsqrtdrhot_p(elem%nfptot), gsqrtdrhot_m(elem%nfptot)
471 real(rp) :: phyd_p(elem%nfptot), phyd_m(elem%nfptot)
472 real(rp) :: gsqrt_p(elem%nfptot), gsqrt_m(elem%nfptot)
473 real(rp) :: gsqrtv_p(elem%nfptot), gsqrtv_m(elem%nfptot)
474 real(rp) :: g13_m(elem%nfptot), g13_p(elem%nfptot)
475 real(rp) :: g23_m(elem%nfptot), g23_p(elem%nfptot)
476 real(rp) :: g1n_m(elem%nfptot), g2n_m(elem%nfptot)
477 real(rp) :: gnn_m(elem%nfptot), gnn_p(elem%nfptot)
478 real(rp) :: gxz_m(elem%nfptot), gxz_p(elem%nfptot)
479 real(rp) :: gyz_m(elem%nfptot), gyz_p(elem%nfptot)
480 real(rp) :: swv(elem%nfptot)
482 real(rp) :: gamm, rgamm
484 real(rp) :: rovp0, p0ovr
488 rgamm = cvdry / cpdry
489 rp0 = 1.0_rp / pres00
491 p0ovr = pres00 / rdry
502 do ke=lmesh%NeS, lmesh%NeE
503 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
504 ke2d = lmesh%EMap3Dto2D(ke)
506 gsqrt_m(:) = gsqrt(im)
507 gsqrt_p(:) = gsqrt(ip)
508 gsqrtv_m(:) = gsqrt_m(:) / gsqrth(im2dto3d(:),ke2d)
509 gsqrtv_p(:) = gsqrt_p(:) / gsqrth(im2dto3d(:),ke2d)
516 gsqrtddens_m(:) = gsqrt_m(:) * ddens_(im)
517 gsqrtddens_p(:) = gsqrt_p(:) * ddens_(ip)
518 gsqrtmomx_m(:) = gsqrt_m(:) * momx_(im)
519 gsqrtmomx_p(:) = gsqrt_p(:) * momx_(ip)
520 gsqrtmomy_m(:) = gsqrt_m(:) * momy_(im)
521 gsqrtmomy_p(:) = gsqrt_p(:) * momy_(ip)
522 gsqrtmomz_m(:) = gsqrt_m(:) * momz_(im)
523 gsqrtmomz_p(:) = gsqrt_p(:) * momz_(ip)
524 gsqrtdrhot_m(:) = gsqrt_m(:) * drhot_(im)
525 gsqrtdrhot_p(:) = gsqrt_p(:) * drhot_(ip)
526 phyd_m(:) = pres_hyd(im)
527 phyd_p(:) = pres_hyd(ip)
528 swv(:) = 1.0_rp - nz(:,ke)**2
530 gxz_m(:) = g11(im2dto3d(:),ke2d) * g13_m(:) + g12(im2dto3d(:),ke2d) * g23_m(:)
531 gxz_p(:) = g11(im2dto3d(:),ke2d) * g13_p(:) + g12(im2dto3d(:),ke2d) * g23_p(:)
533 gyz_m(:) = g12(im2dto3d(:),ke2d) * g13_m(:) + g22(im2dto3d(:),ke2d) * g23_m(:)
534 gyz_p(:) = g12(im2dto3d(:),ke2d) * g13_p(:) + g22(im2dto3d(:),ke2d) * g23_p(:)
536 g1n_m(:) = g11(im2dto3d(:),ke2d) * nx(:,ke) + g12(im2dto3d(:),ke2d) * ny(:,ke)
537 g2n_m(:) = g12(im2dto3d(:),ke2d) * nx(:,ke) + g22(im2dto3d(:),ke2d) * ny(:,ke)
539 gnn_m(:) = g11(im2dto3d(:),ke2d) * abs( nx(:,ke) ) + g22(im2dto3d(:),ke2d) * abs( ny(:,ke) ) &
540 + ( 1.0_rp / gsqrtv_m(:)**2 + g13_m(:) * gxz_m(:) + g23_m(:) * gyz_m(:) ) * abs( nz(:,ke) )
541 gnn_p(:) = g11(im2dto3d(:),ke2d) * abs( nx(:,ke) ) + g22(im2dto3d(:),ke2d) * abs( ny(:,ke) ) &
542 + ( 1.0_rp / gsqrtv_p(:)**2 + g13_p(:) * gxz_p(:) + g23_p(:) * gyz_p(:) ) * abs( nz(:,ke) )
544 gsqrtdensm(:) = gsqrtddens_m(:) + gsqrt_m(:) * dens_hyd(im)
545 gsqrtdensp(:) = gsqrtddens_p(:) + gsqrt_p(:) * dens_hyd(ip)
547 gsqrtrhotm(:) = gsqrt_m(:) * p0ovr * (phyd_m(:) * rp0)**rgamm + gsqrtdrhot_m(:)
548 gsqrtrhotp(:) = gsqrt_p(:) * p0ovr * (phyd_p(:) * rp0)**rgamm + gsqrtdrhot_p(:)
550 velhm(:) = ( gsqrtmomx_m(:) * nx(:,ke) + gsqrtmomy_m(:) * ny(:,ke) ) / gsqrtdensm(:)
551 velhp(:) = ( gsqrtmomx_p(:) * nx(:,ke) + gsqrtmomy_p(:) * ny(:,ke) ) / gsqrtdensp(:)
553 velm(:) = velhm(:) + ( &
554 gsqrtmomz_m(:) / gsqrtv_m(:) + g13_m(:) * gsqrtmomx_m(:) + g23_m(:) * gsqrtmomy_m(:) ) / gsqrtdensm(:) * nz(:,ke)
555 velp(:) = velhp(:) + ( &
556 gsqrtmomz_p(:) / gsqrtv_p(:) + g13_p(:) * gsqrtmomx_p(:) + g23_p(:) * gsqrtmomy_p(:) ) / gsqrtdensp(:) * nz(:,ke)
562 dpresm(:) = dpres_(im)
563 dpresp(:) = dpres_(ip)
565 alpha(:) = swv(:) * max( sqrt( gnn_m(:) * gamm * ( phyd_m(:) + dpresm(:) ) * gsqrt_m(:) / gsqrtdensm(:) ) + abs(velm(:)), &
566 sqrt( gnn_p(:) * gamm * ( phyd_p(:) + dpresp(:) ) * gsqrt_p(:) / gsqrtdensp(:) ) + abs(velp(:)) )
568 del_flux(:,ke,dens_vid) = 0.5_rp * ( &
569 ( gsqrtdensp(:) * velhp(:) - gsqrtdensm(:) * velhm(:) ) &
570 - alpha(:) * ( gsqrtddens_p(:) - gsqrtddens_m(:) ) )
572 del_flux(:,ke,momx_vid ) = 0.5_rp * ( &
573 ( gsqrtmomx_p(:) * velp(:) - gsqrtmomx_m(:) * velm(:) ) &
574 + ( gsqrt_p(:) * ( g1n_m(:) + gxz_p(:) * nz(:,ke) ) * dpresp(:) &
575 - gsqrt_m(:) * ( g1n_m(:) + gxz_m(:) * nz(:,ke) ) * dpresm(:) ) &
576 - alpha(:) * ( gsqrtmomx_p(:) - gsqrtmomx_m(:) ) )
578 del_flux(:,ke,momy_vid ) = 0.5_rp * ( &
579 ( gsqrtmomy_p(:) * velp(:) - gsqrtmomy_m(:) * velm(:) ) &
580 + ( gsqrt_p(:) * ( g2n_m(:) + gyz_p(:) * nz(:,ke)) * dpresp(:) &
581 - gsqrt_m(:) * ( g2n_m(:) + gyz_m(:) * nz(:,ke)) * dpresm(:) ) &
582 - alpha(:) * ( gsqrtmomy_p(:) - gsqrtmomy_m(:) ) )
584 del_flux(:,ke,momz_vid ) = 0.5_rp * ( &
585 ( gsqrtmomz_p(:) * velp(:) - gsqrtmomz_m(:) * velm(:) ) &
586 - alpha(:) * ( gsqrtmomz_p(:) - gsqrtmomz_m(:) ) )
588 del_flux(:,ke,rhot_vid) = 0.5_rp * ( &
589 ( gsqrtrhotp(:) * velhp(:) - gsqrtrhotm(:) * velhm(:) ) &
590 - alpha(:) * ( gsqrtdrhot_p(:) - gsqrtdrhot_m(:) ) )
592 del_flux_hyd(:,ke,1) = 0.5_rp * ( &
593 gsqrtv_p(:) * ( nx(:,ke) + g13_p(:) * nz(:,ke) ) * phyd_p(:) &
594 - gsqrtv_m(:) * ( nx(:,ke) + g13_m(:) * nz(:,ke) ) * phyd_m(:) )
596 del_flux_hyd(:,ke,2) = 0.5_rp * ( &
597 gsqrtv_p(:) * ( ny(:,ke) + g23_p(:) * nz(:,ke) ) * phyd_p(:) &
598 - gsqrtv_m(:) * ( ny(:,ke) + g23_m(:) * nz(:,ke) ) * phyd_m(:) )
608 ddens_, momx_, momy_, momz_, drhot_, dpres, &
609 dens_hyd, pres_hyd, therm_hyd, rtot, cvtot, cptot, &
610 gsqrt, g11, g12, g22, gsqrth, gam, g13, g23, nx, ny, nz, &
611 vmapm, vmapp, im2dto3d, lmesh, elem, lmesh2d, elem2d )
619 real(rp),
intent(out) :: del_flux(elem%nfptot,
prgvar_num,lmesh%ne)
620 real(rp),
intent(in) :: ddens_(elem%np*lmesh%nea)
621 real(rp),
intent(in) :: momx_(elem%np*lmesh%nea)
622 real(rp),
intent(in) :: momy_(elem%np*lmesh%nea)
623 real(rp),
intent(in) :: momz_(elem%np*lmesh%nea)
624 real(rp),
intent(in) :: drhot_(elem%np*lmesh%nea)
625 real(rp),
intent(in) :: dpres(elem%np*lmesh%nea)
626 real(rp),
intent(in) :: dens_hyd(elem%np*lmesh%nea)
627 real(rp),
intent(in) :: pres_hyd(elem%np*lmesh%nea)
628 real(rp),
intent(in) :: therm_hyd(elem%np*lmesh%nea)
629 real(rp),
intent(in) :: rtot (elem%np*lmesh%nea)
630 real(rp),
intent(in) :: cvtot(elem%np*lmesh%nea)
631 real(rp),
intent(in) :: cptot(elem%np*lmesh%nea)
632 real(rp),
intent(in) :: gsqrt(elem%np*lmesh%nea)
633 real(rp),
intent(in) :: g11(elem2d%np,lmesh2d%ne)
634 real(rp),
intent(in) :: g12(elem2d%np,lmesh2d%ne)
635 real(rp),
intent(in) :: g22(elem2d%np,lmesh2d%ne)
636 real(rp),
intent(in) :: gsqrth(elem2d%np,lmesh2d%ne)
637 real(rp),
intent(in) :: gam(elem%np*lmesh%nea)
638 real(rp),
intent(in) :: g13(elem%np*lmesh%nea)
639 real(rp),
intent(in) :: g23(elem%np*lmesh%nea)
640 real(rp),
intent(in) :: nx(elem%nfptot,lmesh%ne)
641 real(rp),
intent(in) :: ny(elem%nfptot,lmesh%ne)
642 real(rp),
intent(in) :: nz(elem%nfptot,lmesh%ne)
643 integer,
intent(in) :: vmapm(elem%nfptot,lmesh%ne)
644 integer,
intent(in) :: vmapp(elem%nfptot,lmesh%ne)
645 integer,
intent(in) :: im2dto3d(elem%nfptot)
647 integer :: ke, ke2d, fp
648 integer :: ip(elem%nfptot), im(elem%nfptot)
649 real(rp) :: vel(elem%nfptot,2), velh(elem%nfptot,2)
650 real(rp) :: alpha(elem%nfptot)
651 real(rp) :: dpres_(elem%nfptot,2)
652 real(rp) :: gsqrtdens(elem%nfptot,2)
653 real(rp) :: gsqrtrhot(elem%nfptot,2)
654 real(rp) :: gsqrtddens(elem%nfptot,2)
655 real(rp) :: gsqrtmomx(elem%nfptot,2)
656 real(rp) :: gsqrtmomy(elem%nfptot,2)
657 real(rp) :: gsqrtmomz(elem%nfptot,2)
658 real(rp) :: gsqrtdrhot(elem%nfptot,2)
659 real(rp) :: phyd_(elem%nfptot,2)
660 real(rp) :: gsqrt_(elem%nfptot,2)
661 real(rp) :: gsqrtv_(elem%nfptot,2)
662 real(rp) :: rgsqrtv(elem%nfptot,2)
663 real(rp) :: rgam2(elem%nfptot,2)
664 real(rp) :: g13_(elem%nfptot,2)
665 real(rp) :: g23_(elem%nfptot,2)
666 real(rp) :: gxz_(elem%nfptot,2)
667 real(rp) :: gyz_(elem%nfptot,2)
668 real(rp) :: g1n_(elem%nfptot,2)
669 real(rp) :: g2n_(elem%nfptot,2)
671 real(rp) :: gamm, rgamm
673 real(rp) :: rovp0, p0ovr
675 integer,
parameter :: in = 1
676 integer,
parameter :: ex = 2
678 real(rp) :: tmp1, tmp2, tmp3, tmp4, tmp01, tmp02, tmp03
679 real(rp) :: del_flux_tmp_mom(elem%nfptot,2)
681 real(rp) :: g11_, g12_, g22_
682 real(rp) :: gnn_m, gnn_p
687 rgamm = cvdry / cpdry
688 rp0 = 1.0_rp / pres00
690 p0ovr = pres00 / rdry
702 do ke=lmesh%NeS, lmesh%NeE
703 im(:) = vmapm(:,ke); ip(:) = vmapp(:,ke)
704 ke2d = lmesh%EMap3Dto2D(ke)
706 gsqrt_(:,in) = gsqrt(im)
707 gsqrt_(:,ex) = gsqrt(ip)
709 rgam2(:,in) = 1.0_rp / gam(im)**2
710 rgam2(:,ex) = 1.0_rp / gam(ip)**2
711 gsqrtv_(:,in) = gsqrt_(:,in) * rgam2(:,in) / gsqrth(im2dto3d(:),ke2d)
712 gsqrtv_(:,ex) = gsqrt_(:,ex) * rgam2(:,ex) / gsqrth(im2dto3d(:),ke2d)
713 rgsqrtv(:,:) = 1.0_rp / gsqrtv_(:,:)
720 gsqrtddens(:,in) = gsqrt_(:,in) * ddens_(im)
721 gsqrtddens(:,ex) = gsqrt_(:,ex) * ddens_(ip)
722 gsqrtmomx(:,in) = gsqrt_(:,in) * momx_(im)
723 gsqrtmomx(:,ex) = gsqrt_(:,ex) * momx_(ip)
724 gsqrtmomy(:,in) = gsqrt_(:,in) * momy_(im)
725 gsqrtmomy(:,ex) = gsqrt_(:,ex) * momy_(ip)
726 gsqrtmomz(:,in) = gsqrt_(:,in) * momz_(im)
727 gsqrtmomz(:,ex) = gsqrt_(:,ex) * momz_(ip)
728 gsqrtdrhot(:,in) = gsqrt_(:,in) * drhot_(im)
729 gsqrtdrhot(:,ex) = gsqrt_(:,ex) * drhot_(ip)
731 phyd_(:,in) = pres_hyd(im)
732 phyd_(:,ex) = pres_hyd(ip)
733 dpres_(:,in) = dpres(im)
734 dpres_(:,ex) = dpres(ip)
736 gsqrtdens(:,in) = gsqrtddens(:,in) + gsqrt_(:,in) * dens_hyd(im)
737 gsqrtdens(:,ex) = gsqrtddens(:,ex) + gsqrt_(:,ex) * dens_hyd(ip)
739 gsqrtrhot(:,in) = gsqrt_(:,in) * therm_hyd(im) + gsqrtdrhot(:,in)
740 gsqrtrhot(:,ex) = gsqrt_(:,ex) * therm_hyd(ip) + gsqrtdrhot(:,ex)
742 velh(:,in) = ( gsqrtmomx(:,in) * nx(:,ke) + gsqrtmomy(:,in) * ny(:,ke) ) / gsqrtdens(:,in)
743 velh(:,ex) = ( gsqrtmomx(:,ex) * nx(:,ke) + gsqrtmomy(:,ex) * ny(:,ke) ) / gsqrtdens(:,ex)
745 vel(:,in) = velh(:,in) &
746 + ( ( ( gsqrtmomz(:,in) * rgsqrtv(:,in) &
747 + g13_(:,in) * gsqrtmomx(:,in) + g23_(:,in) * gsqrtmomy(:,in) ) * nz(:,ke) ) ) / gsqrtdens(:,in)
748 vel(:,ex) = velh(:,ex) &
749 + ( ( ( gsqrtmomz(:,ex) * rgsqrtv(:,ex) &
750 + g13_(:,ex) * gsqrtmomx(:,ex) + g23_(:,ex) * gsqrtmomy(:,ex) ) * nz(:,ke) ) ) / gsqrtdens(:,ex)
753 g11_ = g11(im2dto3d(fp),ke2d); g12_ = g12(im2dto3d(fp),ke2d); g22_ = g22(im2dto3d(fp),ke2d)
755 gxz_(fp,in) = rgam2(fp,in) * ( g11_ * g13_(fp,in) + g12_ * g23_(fp,in) )
756 gxz_(fp,ex) = rgam2(fp,ex) * ( g11_ * g13_(fp,ex) + g12_ * g23_(fp,ex) )
758 gyz_(fp,in) = rgam2(fp,in) * ( g12_ * g13_(fp,in) + g22_ * g23_(fp,in) )
759 gyz_(fp,ex) = rgam2(fp,ex) * ( g12_ * g13_(fp,ex) + g22_ * g23_(fp,ex) )
761 g1n_(fp,in) = rgam2(fp,in) * ( g11_ * nx(fp,ke) + g12_ * ny(fp,ke) )
762 g1n_(fp,ex) = rgam2(fp,ex) * ( g11_ * nx(fp,ke) + g12_ * ny(fp,ke) )
764 g2n_(fp,in) = rgam2(fp,in) * ( g12_ * nx(fp,ke) + g22_ * ny(fp,ke) )
765 g2n_(fp,ex) = rgam2(fp,ex) * ( g12_ * nx(fp,ke) + g22_ * ny(fp,ke) )
768 g11_ = g11(im2dto3d(fp),ke2d); g22_ = g22(im2dto3d(fp),ke2d)
769 tmp1 = abs( g11_ * nx(fp,ke) ) + abs( g22_ * ny(fp,ke) )
771 gnn_m = rgam2(fp,in) * tmp1 &
772 + ( 1.0_rp * rgsqrtv(fp,in)**2 + g13_(fp,in) * gxz_(fp,in) + g23_(fp,in) * gyz_(fp,in) ) * abs( nz(fp,ke) )
773 gnn_p = rgam2(fp,ex) * tmp1 &
774 + ( 1.0_rp * rgsqrtv(fp,ex)**2 + g13_(fp,ex) * gxz_(fp,ex) + g23_(fp,ex) * gyz_(fp,ex) ) * abs( nz(fp,ke) )
776 swv = 1.0_rp - nz(fp,ke)**2
777 alpha(fp) = swv * max( sqrt( gnn_m * gamm * ( phyd_(fp,in) + dpres_(fp,in) ) * gsqrt_(fp,in) / gsqrtdens(fp,in) ) + abs(vel(fp,in)), &
778 sqrt( gnn_p * gamm * ( phyd_(fp,ex) + dpres_(fp,ex) ) * gsqrt_(fp,ex) / gsqrtdens(fp,ex) ) + abs(vel(fp,ex)) )
782 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
784 tmp2 = - alpha(fp) * ( gsqrtddens(fp,ex) - gsqrtddens(fp,in) )
785 del_flux(fp,dens_vid,ke) = tmp1 * ( &
786 gsqrtdens(fp,ex) * velh(fp,ex) - gsqrtdens(fp,in) * velh(fp,in) &
789 tmp2 = - alpha(fp) * ( gsqrtdrhot(fp,ex) - gsqrtdrhot(fp,in) )
790 del_flux(fp,rhot_vid,ke) = tmp1 * ( &
791 gsqrtrhot(fp,ex) * velh(fp,ex) - gsqrtrhot(fp,in) * velh(fp,in) &
796 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
798 tmp2 = - alpha(fp) * ( gsqrtmomz(fp,ex) - gsqrtmomz(fp,in) )
799 del_flux(fp,momz_vid,ke) = tmp1 * ( &
800 gsqrtmomz(fp,ex) * vel(fp,ex) - gsqrtmomz(fp,in) * vel(fp,in) &
805 tmp3 = gsqrt_(fp,ex) * dpres_(fp,ex)
806 tmp4 = gsqrt_(fp,in) * dpres_(fp,in)
808 del_flux_tmp_mom(fp,1) = &
809 ( g1n_(fp,ex) + gxz_(fp,ex) * nz(fp,ke) ) * tmp3 &
810 - ( g1n_(fp,in) + gxz_(fp,in) * nz(fp,ke) ) * tmp4
812 del_flux_tmp_mom(fp,2) = &
813 ( g2n_(fp,ex) + gyz_(fp,ex) * nz(fp,ke) ) * tmp3 &
814 - ( g2n_(fp,in) + gyz_(fp,in) * nz(fp,ke) ) * tmp4
817 tmp1 = lmesh%Fscale(fp,ke) * 0.5_rp
819 tmp2 = - alpha(fp) * ( gsqrtmomx(fp,ex) - gsqrtmomx(fp,in) )
820 del_flux(fp,momx_vid,ke) = tmp1 * ( &
821 gsqrtmomx(fp,ex) * vel(fp,ex) - gsqrtmomx(fp,in) * vel(fp,in) &
822 + del_flux_tmp_mom(fp,1) &
825 tmp2 = - alpha(fp) * ( gsqrtmomy(fp,ex) - gsqrtmomy(fp,in) )
826 del_flux(fp,momy_vid,ke) = tmp1 * ( &
827 gsqrtmomy(fp,ex) * vel(fp,ex) - gsqrtmomy(fp,in) * vel(fp,in) &
828 + del_flux_tmp_mom(fp,2) &