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mystats.f90
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mystats.f90
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module user_stats
use decomp_2d, only : mytype, DECOMP_INFO
implicit none
interface update_user_stats
module procedure update_user_stats_non_phi
module procedure update_user_stats_oui_phi
end interface update_user_stats
logical, save :: bool_user_stat
integer, save :: beg_stat
TYPE(DECOMP_INFO) :: decomp_user_stats
integer, save :: xst1, xst2, xst3
integer, save :: xen1, xen2, xen3
! Ordre 1
real(mytype), save, allocatable, dimension(:,:,:) :: um,vm,wm
real(mytype), save, allocatable, dimension(:,:,:) :: dpdxm, dpdym, dpdzm
real(mytype), save, allocatable, dimension(:,:,:) :: dudym, dvdym, dwdym
real(mytype), save, allocatable, dimension(:,:,:) :: dudyym, dvdyym, dwdyym
! Ordre 2
real(mytype), save, allocatable, dimension(:,:,:) :: uum,vvm,wwm
real(mytype), save, allocatable, dimension(:,:,:) :: uvm,uwm,vwm
real(mytype), save, allocatable, dimension(:,:,:) :: udpdxm, udpdym, udpdzm
real(mytype), save, allocatable, dimension(:,:,:) :: vdpdxm, vdpdym, vdpdzm
real(mytype), save, allocatable, dimension(:,:,:) :: wdpdxm, wdpdym, wdpdzm
! Ordre 3
real(mytype), save, allocatable, dimension(:,:,:) :: uuum, uvvm, uwwm
real(mytype), save, allocatable, dimension(:,:,:) :: vuum, vvvm, vwwm
real(mytype), save, allocatable, dimension(:,:,:) :: wuum, wvvm, wwwm
real(mytype), save, allocatable, dimension(:,:,:) :: uvwm
! Epsilon pour tous les Rij
real(mytype), save, allocatable, dimension(:,:,:) :: dudx2m, dudy2m, dudz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dvdx2m, dvdy2m, dvdz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dwdx2m, dwdy2m, dwdz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dudvdxm, dudwdxm, dvdwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudvdym, dudwdym, dvdwdym
real(mytype), save, allocatable, dimension(:,:,:) :: dudvdzm, dudwdzm, dvdwdzm
! Budget epsilon
! P0 : Production par convection avec vitesse moyenne, ok, cf ci-dessus
! P1 : Production par gradient vitesse moyenne : dUidXj*dUkdXj, ok, cf ci-dessus
! P2 : Production mixte, on a déjà les dudx², dudy², dudz², ajout termes croisés :
! uu, vv, ww
real(mytype), save, allocatable, dimension(:,:,:) :: dudxdudym, dudxdudzm, dudydudzm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdxdvdym, dvdxdvdzm, dvdydvdzm
real(mytype), save, allocatable, dimension(:,:,:) :: dwdxdwdym, dwdxdwdzm, dwdydwdzm
! uv
real(mytype), save, allocatable, dimension(:,:,:) :: dudxdvdym, dudydvdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudxdvdzm, dudzdvdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudydvdzm, dudzdvdym
! uw
real(mytype), save, allocatable, dimension(:,:,:) :: dudxdwdym, dudydwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudxdwdzm, dudzdwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudydwdzm, dudzdwdym
! vw
real(mytype), save, allocatable, dimension(:,:,:) :: dvdxdwdym, dvdydwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdxdwdzm, dvdzdwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdydwdzm, dvdzdwdym
! P3 : Production du gradient (hessienne de la vitesse), ajout des termes manquants :
real(mytype), save, allocatable, dimension(:,:,:) :: vdudxm, vdudym, vdudzm
real(mytype), save, allocatable, dimension(:,:,:) :: vdvdxm, vdvdym, vdvdzm
real(mytype), save, allocatable, dimension(:,:,:) :: vdwdxm, vdwdym, vdwdzm
! P4 : Production turbulente, produits triples
! EpsXX
real(mytype), save, allocatable, dimension(:,:,:) :: dudx_dududxm, dudx_dududym, dudx_dududzm!dudx_eps11
real(mytype), save, allocatable, dimension(:,:,:) :: dudy_dudvdxm, dudy_dudvdym, dudy_dudvdzm!dudy_eps12
real(mytype), save, allocatable, dimension(:,:,:) :: dudz_dudwdxm, dudz_dudwdym, dudz_dudwdzm!dudz_eps13
! EpsYY
real(mytype), save, allocatable, dimension(:,:,:) :: dvdx_dvdudxm, dvdx_dvdudym, dvdx_dvdudzm!dvdx_eps12
real(mytype), save, allocatable, dimension(:,:,:) :: dvdy_dvdvdxm, dvdy_dvdvdym, dvdy_dvdvdzm!dvdy_eps22
real(mytype), save, allocatable, dimension(:,:,:) :: dvdz_dvdwdxm, dvdz_dvdwdym, dvdz_dvdwdzm!dvdz_eps23
! EpsZZ
real(mytype), save, allocatable, dimension(:,:,:) :: dwdx_dwdudxm, dwdx_dwdudym, dwdx_dwdudzm!dwdx_eps13
real(mytype), save, allocatable, dimension(:,:,:) :: dwdy_dwdvdxm, dwdy_dwdvdym, dwdy_dwdvdzm!dwdy_eps23
real(mytype), save, allocatable, dimension(:,:,:) :: dwdz_dwdwdxm, dwdz_dwdwdym, dwdz_dwdwdzm!dwdz_eps33
! EpsXY
real(mytype), save, allocatable, dimension(:,:,:) :: dudx_dudvdxm, dudx_dudvdym, dudx_dudvdzm!dudx_eps21
real(mytype), save, allocatable, dimension(:,:,:) :: dudy_dvdvdxm, dudy_dvdvdym, dudy_dvdvdzm!dudy_eps22
real(mytype), save, allocatable, dimension(:,:,:) :: dudz_dvdwdxm, dudz_dvdwdym, dudz_dvdwdzm!dudz_eps23
real(mytype), save, allocatable, dimension(:,:,:) :: dvdx_dududxm, dvdx_dududym, dvdx_dududzm!dvdx_eps11
real(mytype), save, allocatable, dimension(:,:,:) :: dvdy_dudvdxm, dvdy_dudvdym, dvdy_dudvdzm!dvdy_eps12
real(mytype), save, allocatable, dimension(:,:,:) :: dvdz_dudwdxm, dvdz_dudwdym, dvdz_dudwdzm!dvdz_eps13
! Turbulent transport, ajout des termes NON-NULS :
real(mytype), save, allocatable, dimension(:,:,:) :: vdudx2m, vdudy2m, vdudz2m ! EpsXX
real(mytype), save, allocatable, dimension(:,:,:) :: vdvdx2m, vdvdy2m, vdvdz2m ! EpsYY
real(mytype), save, allocatable, dimension(:,:,:) :: vdwdx2m, vdwdy2m, vdwdz2m ! EpsZZ
real(mytype), save, allocatable, dimension(:,:,:) :: vdudvdxm, vdudvdym, vdudvdzm ! EpsXY
! Pressure transport, ajout des termes NON-NULS
real(mytype), save, allocatable, dimension(:,:,:) :: dpdvdxm, dpdvdym, dpdvdzm ! EpsYY
real(mytype), save, allocatable, dimension(:,:,:) :: dpdudxm, dpdudym, dpdudzm ! EpsXY
! Pressure production sur EpsXY
real(mytype), save, allocatable, dimension(:,:,:) :: dpdxdudyxm, dpdydudyym, dpdzdudyzm
real(mytype), save, allocatable, dimension(:,:,:) :: dpdxdvdxxm, dpdydvdxym, dpdzdvdxzm
! Dissipation
! uu
real(mytype), save, allocatable, dimension(:,:,:) :: dudxx2m, dudyy2m, dudzz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dudxy2m, dudxz2m, dudyz2m
! vv
real(mytype), save, allocatable, dimension(:,:,:) :: dvdxx2m, dvdyy2m, dvdzz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dvdxy2m, dvdxz2m, dvdyz2m
! ww
real(mytype), save, allocatable, dimension(:,:,:) :: dwdxx2m, dwdyy2m, dwdzz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dwdxy2m, dwdxz2m, dwdyz2m
! uv
real(mytype), save, allocatable, dimension(:,:,:) :: dudvdxx2m, dudvdyy2m, dudvdzz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dudvdxy2m, dudvdxz2m, dudvdyz2m
! Scalaire
! Ordre 1
real(mytype), save, allocatable, dimension(:,:,:) :: phim
real(mytype), save, allocatable, dimension(:,:,:) :: dphidym
real(mytype), save, allocatable, dimension(:,:,:) :: dphidyym
real(mytype), save, allocatable, dimension(:,:,:) :: dphidyyym
! Ordre 2
real(mytype), save, allocatable, dimension(:,:,:) :: uphim, vphim, wphim, phiphim
real(mytype), save, allocatable, dimension(:,:,:) :: phidpdxm, phidpdym, phidpdzm
!
real(mytype), save, allocatable, dimension(:,:,:) :: dphidx2m, dphidy2m, dphidz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dudphidxm, dvdphidxm, dwdphidxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudphidym, dvdphidym, dwdphidym
real(mytype), save, allocatable, dimension(:,:,:) :: dudphidzm, dvdphidzm, dwdphidzm
real(mytype), save, allocatable, dimension(:,:,:) :: udtdxxm, udtdyym, udtdzzm
real(mytype), save, allocatable, dimension(:,:,:) :: vdtdxxm, vdtdyym, vdtdzzm
real(mytype), save, allocatable, dimension(:,:,:) :: wdtdxxm, wdtdyym, wdtdzzm
! Ordre 3
real(mytype), save, allocatable, dimension(:,:,:) :: uphi2m,vphi2m,wphi2m
real(mytype), save, allocatable, dimension(:,:,:) :: phiuum,phivvm,phiwwm
real(mytype), save, allocatable, dimension(:,:,:) :: phiuvm,phiuwm,phivwm
!
! Budget epsilon thermique
! P0 : Production par convection avec vitesse moyenne, OK
! P1 : Production par gradient vitesse moyenne : dUidXj*dTdXj, ok, cf ci-dessus
! P2 : Production mixte, gradU*gradT, ajout des termes croisés
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdtdym, dtdxdtdzm, dtdydtdzm ! TT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdudym, dtdydudxm ! uT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdudzm, dtdzdudxm
real(mytype), save, allocatable, dimension(:,:,:) :: dtdydudzm, dtdzdudym
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdvdym, dtdydvdxm ! vT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdvdzm, dtdzdvdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dtdydvdzm, dtdzdvdym
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdwdym, dtdydwdxm ! wT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxdwdzm, dtdzdwdxm
real(mytype), save, allocatable, dimension(:,:,:) :: dtdydwdzm, dtdzdwdym
! P3 : Production du gradient (hessienne vitesse et temp.), ajout termes manquants :
real(mytype), save, allocatable, dimension(:,:,:) :: vdtdxm, vdtdym, vdtdzm
! P4 : Production turbulente, produits triples
! EpsXT
real(mytype), save, allocatable, dimension(:,:,:) :: dudx_dudtdxm, dudx_dudtdym, dudx_dudtdzm!dudx_epsxT
real(mytype), save, allocatable, dimension(:,:,:) :: dudy_dvdtdxm, dudy_dvdtdym, dudy_dvdtdzm!dudy_epsyT
real(mytype), save, allocatable, dimension(:,:,:) :: dudz_dwdtdxm, dudz_dwdtdym, dudz_dwdtdzm!dudz_epszT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdx_dududym, dtdx_dududzm!dtdx_epsxx
real(mytype), save, allocatable, dimension(:,:,:) :: dtdy_dudvdxm, dtdy_dudvdzm!dtdy_epsxy
real(mytype), save, allocatable, dimension(:,:,:) :: dtdz_dudwdxm, dtdz_dudwdym !dtdz_epsxz
! EpxYT
real(mytype), save, allocatable, dimension(:,:,:) :: dvdx_dudtdxm, dvdx_dudtdym, dvdx_dudtdzm!dvdx_epsxT
real(mytype), save, allocatable, dimension(:,:,:) :: dvdy_dvdtdxm, dvdy_dvdtdym, dvdy_dvdtdzm!dvdy_epsyT
real(mytype), save, allocatable, dimension(:,:,:) :: dvdz_dwdtdxm, dvdz_dwdtdym, dvdz_dwdtdzm!dvdz_epszT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdx_dudvdym, dtdx_dudvdzm!dtdx_epsxy
real(mytype), save, allocatable, dimension(:,:,:) :: dtdy_dvdvdxm, dtdy_dvdvdzm!dtdy_epsyy
real(mytype), save, allocatable, dimension(:,:,:) :: dtdz_dvdwdxm, dtdz_dvdwdym !dtdz_epsyz
! EpsTT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdx_dudtdxm, dtdx_dudtdym, dtdx_dudtdzm!dtdx_epsxT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdy_dvdtdxm, dtdy_dvdtdym, dtdy_dvdtdzm!dtdy_epsyT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdz_dwdtdxm, dtdz_dwdtdym, dtdz_dwdtdzm!dtdz_epszT
! Turbulent transport
real(mytype), save, allocatable, dimension(:,:,:) :: vdudtdxm, vdudtdym, vdudtdzm!v_epsxT
real(mytype), save, allocatable, dimension(:,:,:) :: vdvdtdxm, vdvdtdym, vdvdtdzm!v_epsyT
real(mytype), save, allocatable, dimension(:,:,:) :: vdtdx2m, vdtdy2m, vdtdz2m!v_epsTT
! Pressure transport + production
real(mytype), save, allocatable, dimension(:,:,:) :: dpdtdxm, dpdtdym, dpdtdzm
real(mytype), save, allocatable, dimension(:,:,:) :: dpdtdxxm, dpdtdxym, dpdtdxzm ! EpsXT
real(mytype), save, allocatable, dimension(:,:,:) :: dpdtdyxm, dpdtdyym, dpdtdyzm ! EpsYT
! Dissipation
! xT
real(mytype), save, allocatable, dimension(:,:,:) :: dudtdxxm, dudtdyym, dudtdzzm
real(mytype), save, allocatable, dimension(:,:,:) :: dudtdxym, dudtdxzm, dudtdyzm
real(mytype), save, allocatable, dimension(:,:,:) :: dudx_dtdxxxm, dudx_dtdyxxm, dudx_dtdzxxm
real(mytype), save, allocatable, dimension(:,:,:) :: dudy_dtdxyym, dudy_dtdyyym, dudy_dtdzyym
real(mytype), save, allocatable, dimension(:,:,:) :: dudz_dtdxzzm, dudz_dtdyzzm, dudz_dtdzzzm
! yT
real(mytype), save, allocatable, dimension(:,:,:) :: dvdtdxxm, dvdtdyym, dvdtdzzm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdtdxym, dvdtdxzm, dvdtdyzm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdx_dtdxxxm, dvdx_dtdyxxm, dvdx_dtdzxxm
real(mytype), save, allocatable, dimension(:,:,:) :: dvdy_dtdxyym, dvdy_dtdyyym, dvdy_dtdzyym
real(mytype), save, allocatable, dimension(:,:,:) :: dvdz_dtdxzzm, dvdz_dtdyzzm, dvdz_dtdzzzm
! TT
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxx2m, dtdyy2m, dtdzz2m
real(mytype), save, allocatable, dimension(:,:,:) :: dtdxy2m, dtdxz2m, dtdyz2m
! Pression
real(mytype), save, allocatable, dimension(:,:,:) :: presm, pres2m
!real(mytype), save, allocatable, dimension(:,:,:) :: pp3m, pp32m
contains
subroutine allocate_user_stats(nx_user, ny_user, nz_user, phG,ph1,ph2,ph3,ph4)
use decomp_2d, only : decomp_info_init, DECOMP_INFO, get_decomp_info
use param, only : iscalar
implicit none
integer, intent(in) :: nx_user, ny_user, nz_user
TYPE(DECOMP_INFO), intent(in) :: phG,ph1,ph2,ph3,ph4
TYPE(DECOMP_INFO) :: decomp_main
call decomp_info_init(nx_user, ny_user, nz_user, decomp_user_stats)
xst1=decomp_user_stats%xst(1)
xst2=decomp_user_stats%xst(2)
xst3=decomp_user_stats%xst(3)
xen1=decomp_user_stats%xst(1)
xen2=decomp_user_stats%xen(2)
xen3=decomp_user_stats%xen(3)
allocate(um (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdxm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdzm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudyym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdyym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdyym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uum (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vvm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uvm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udpdxm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udpdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udpdzm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdpdxm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdpdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdpdzm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdpdxm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdpdym (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdpdzm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uuum (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uvvm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uwwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vuum (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vvvm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vwwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wuum (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wvvm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wwwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(uvwm (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx2m (xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXX
allocate(dudy2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx2m (xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsYY
allocate(dvdy2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdx2m (xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsZZ
allocate(dwdy2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdz2m (xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXY
allocate(dudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXZ
allocate(dudwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsYZ
allocate(dvdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxdudym(xst1:xen1,xst2:xen2,xst3:xen3)) ! uu
allocate(dudxdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudydudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxdvdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! vv
allocate(dvdxdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdydvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdxdwdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! ww
allocate(dwdxdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdydwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxdvdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! uv
allocate(dudydvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudzdvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudydvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudzdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxdwdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! uw
allocate(dudydwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudzdwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudydwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudzdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxdwdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! vw
allocate(dvdydwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdzdwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdydwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdzdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dududxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudx_eps11
allocate(dudx_dududym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dududzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dudvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudy_eps12
allocate(dudy_dudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dudwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudz_eps13
allocate(dudz_dudwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dudwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dvdudxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdx_eps12
allocate(dvdx_dvdudym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dvdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dvdvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdy_eps22
allocate(dvdy_dvdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dvdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dvdwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdz_eps23
allocate(dvdz_dvdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dvdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdx_dwdudxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dwdx_eps13
allocate(dwdx_dwdudym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdx_dwdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdy_dwdvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dwdy_eps23
allocate(dwdy_dwdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdy_dwdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdz_dwdwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dwdz_eps33
allocate(dwdz_dwdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdz_dwdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dudvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudx_eps21
allocate(dudx_dudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dvdvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudy_eps22
allocate(dudy_dvdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dvdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dvdwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dudz_eps23
allocate(dudz_dvdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dvdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dududxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdx_eps11
allocate(dvdx_dududym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dududzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dudvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdy_eps12
allocate(dvdy_dudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dudwdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! dvdz_eps13
allocate(dvdz_dudwdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dudwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXX
allocate(vdudy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsYY
allocate(vdvdy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdwdx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsZZ
allocate(vdwdy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdwdz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXY
allocate(vdudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdvdxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsYY
allocate(dpdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdudxm(xst1:xen1,xst2:xen2,xst3:xen3)) ! EpsXY
allocate(dpdudym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdxdudyxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdydudyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdzdudyzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdxdvdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdydvdxym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdzdvdxzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! uu
allocate(dudyy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudzz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudxz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudyz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! vv
allocate(dvdyy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdzz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdxz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdyz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdxx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! ww
allocate(dwdyy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdzz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdxy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdxz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdyz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdxx2m(xst1:xen1,xst2:xen2,xst3:xen3)) ! uv
allocate(dudvdyy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdzz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdxy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdxz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudvdyz2m(xst1:xen1,xst2:xen2,xst3:xen3))
um=0.; vm=0.; wm=0.;
dpdxm=0.; dpdym=0.; dpdzm=0.;
dudym=0.; dvdym=0.; dwdym=0.;
dudyym=0.; dvdyym=0.; dwdyym=0.;
uum=0.; vvm=0.; wwm=0.;
uvm=0.; uwm=0.; vwm=0.;
udpdxm=0.; udpdym=0.; udpdzm=0.;
vdpdxm=0.; vdpdym=0.; vdpdzm=0.;
wdpdxm=0.; wdpdym=0.; wdpdzm=0.;
uuum=0.; uvvm=0.; uwwm=0.;
vuum=0.; vvvm=0.; vwwm=0.;
wuum=0.; wvvm=0.; wwwm=0.
uvwm=0.;
dudx2m=0.; dudy2m=0.; dudz2m=0.;
dvdx2m=0.; dvdy2m=0.; dvdz2m=0.;
dwdx2m=0.; dwdy2m=0.; dwdz2m=0.;
dudvdxm=0.; dudwdxm=0.; dvdwdxm=0.;
dudvdym=0.; dudwdym=0.; dvdwdym=0.;
dudvdzm=0.; dudwdzm=0.; dvdwdzm=0.;
dudxdudym=0.; dudxdudzm=0.; dudydudzm=0.; ! uu
dvdxdvdym=0.; dvdxdvdzm=0.; dvdydvdzm=0.; ! vv
dwdxdwdym=0.; dwdxdwdzm=0.; dwdydwdzm=0.; ! ww
dudxdvdym=0.; dudydvdxm=0.; ! uv
dudxdvdzm=0.; dudzdvdxm=0.;
dudydvdzm=0.; dudzdvdym=0.;
dudxdwdym=0.; dudydwdxm=0.; ! uw
dudxdwdzm=0.; dudzdwdxm=0.;
dudydwdzm=0.; dudzdwdym=0.;
dvdxdwdym=0.; dvdydwdxm=0.; ! vw
dvdxdwdzm=0.; dvdzdwdxm=0.;
dvdydwdzm=0.; dvdzdwdym=0.;
vdudxm=0.; vdvdxm=0.; vdwdxm=0.;
vdudym=0.; vdvdym=0.; vdwdym=0.;
vdudzm=0.; vdvdzm=0.; vdwdzm=0.;
dudx_dududxm=0.; dudx_dududym=0.; dudx_dududzm=0.; ! dudx_eps11
dudy_dudvdxm=0.; dudy_dudvdym=0.; dudy_dudvdzm=0.; ! dudy_eps12
dudz_dudwdxm=0.; dudz_dudwdym=0.; dudz_dudwdzm=0.; ! dudz_eps13
dvdx_dvdudxm=0.; dvdx_dvdudym=0.; dvdx_dvdudzm=0.; ! dvdx_eps12
dvdy_dvdvdxm=0.; dvdy_dvdvdym=0.; dvdy_dvdvdzm=0.; ! dvdy_eps22
dvdz_dvdwdxm=0.; dvdz_dvdwdym=0.; dvdz_dvdwdzm=0.; ! dvdz_eps23
dwdx_dwdudxm=0.; dwdx_dwdudym=0.; dwdx_dwdudzm=0.; ! dwdx_eps13
dwdy_dwdvdxm=0.; dwdy_dwdvdym=0.; dwdy_dwdvdzm=0.; ! dwdy_eps23
dwdz_dwdwdxm=0.; dwdz_dwdwdym=0.; dwdz_dwdwdzm=0.; ! dwdz_eps33
dudx_dudvdxm=0.; dudx_dudvdym=0.; dudx_dudvdzm=0.; !dudx_eps21
dudy_dvdvdxm=0.; dudy_dvdvdym=0.; dudy_dvdvdzm=0.; !dudy_eps22
dudz_dvdwdxm=0.; dudz_dvdwdym=0.; dudz_dvdwdzm=0.; !dudz_eps23
dvdx_dududxm=0.; dvdx_dududym=0.; dvdx_dududzm=0.; !dvdx_eps11
dvdy_dudvdxm=0.; dvdy_dudvdym=0.; dvdy_dudvdzm=0.; !dvdy_eps12
dvdz_dudwdxm=0.; dvdz_dudwdym=0.; dvdz_dudwdzm=0.; !dvdz_eps13
vdudx2m=0.; vdudy2m=0.; vdudz2m=0.; ! EpsXX
vdvdx2m=0.; vdvdy2m=0.; vdvdz2m=0.; ! EpsYY
vdwdx2m=0.; vdwdy2m=0.; vdwdz2m=0.; ! EpsZZ
vdudvdxm=0.; vdudvdym=0.; vdudvdzm=0.; ! EpsXY
dpdvdxm=0.; dpdvdym=0.; dpdvdzm=0.; ! EpsYY
dpdudxm=0.; dpdudym=0.; dpdudzm=0.; ! EpsXY
dpdxdudyxm=0.; dpdydudyym=0.; dpdzdudyzm=0.;
dpdxdvdxxm=0.; dpdydvdxym=0.; dpdzdvdxzm=0.;
dudxx2m=0.; dudyy2m=0.; dudzz2m=0.; ! uu
dudxy2m=0.; dudxz2m=0.; dudyz2m=0.;
dvdxx2m=0.; dvdyy2m=0.; dvdzz2m=0.; ! vv
dvdxy2m=0.; dvdxz2m=0.; dvdyz2m=0.;
dwdxx2m=0.; dwdyy2m=0.; dwdzz2m=0.; ! ww
dwdxy2m=0.; dwdxz2m=0.; dwdyz2m=0.;
dudvdxx2m=0.; dudvdyy2m=0.; dudvdzz2m=0.; ! uv
dudvdxy2m=0.; dudvdxz2m=0.; dudvdyz2m=0.;
! Scalaire
if (iscalar.eq.1) then
! Ordre 1
allocate(phim(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dphidym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dphidyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dphidyyym(xst1:xen1,xst2:xen2,xst3:xen3))
! Ordre 2
allocate(uphim(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vphim(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wphim(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phiphim(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phidpdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phidpdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phidpdzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dphidx2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dphidy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dphidz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudphidxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdphidxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdphidxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudphidym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdphidym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdphidym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudphidzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdphidzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dwdphidzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(udtdzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wdtdzzm(xst1:xen1,xst2:xen2,xst3:xen3))
! Ordre 3
allocate(uphi2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vphi2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(wphi2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phiuum(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phivvm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phiwwm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phiuvm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phiuwm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(phivwm(xst1:xen1,xst2:xen2,xst3:xen3))
! P2
allocate(dtdxdtdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! TT
allocate(dtdxdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdydtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdudym(xst1:xen1,xst2:xen2,xst3:xen3)) ! uT
allocate(dtdydudxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdudxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdydudzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdudym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdvdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! vT
allocate(dtdydvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdydvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdwdym(xst1:xen1,xst2:xen2,xst3:xen3)) ! wT
allocate(dtdydwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxdwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdydwdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(vdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dudx_dudtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dudtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dudtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dvdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dvdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dvdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dwdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dwdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dwdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dtdx_dududym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdx_dududzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dudvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dudwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dudwdym(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dvdx_dudtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dudtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dudtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dvdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dvdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dvdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dwdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dwdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dwdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dtdx_dudvdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdx_dudvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dvdvdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dvdvdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dvdwdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dvdwdym(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dtdx_dudtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdx_dudtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdx_dudtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dvdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dvdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdy_dvdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dwdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dwdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdz_dwdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(vdudtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdudtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdvdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdx2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(vdtdz2m(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dpdtdxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdxym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdxzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdyxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dpdtdyzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dudtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudtdzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudtdxym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudtdxzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudtdyzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dudx_dtdxxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dtdyxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudx_dtdzxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dtdxyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dtdyyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudy_dtdzyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dtdxzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dtdyzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dudz_dtdzzzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dvdtdxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdtdyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdtdzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdtdxym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdtdxzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdtdyzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dvdx_dtdxxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dtdyxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdx_dtdzxxm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dtdxyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dtdyyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdy_dtdzyym(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dtdxzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dtdyzzm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dvdz_dtdzzzm(xst1:xen1,xst2:xen2,xst3:xen3))
!
allocate(dtdxx2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdyy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdzz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxy2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdxz2m(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(dtdyz2m(xst1:xen1,xst2:xen2,xst3:xen3))
!
phim=0.;
dphidym=0.;
dphidyym=0.;
dphidyyym=0.;
uphim=0.; vphim=0.; wphim=0.; phiphim=0.;
phidpdxm=0.; phidpdym=0.; phidpdzm=0.;
dphidx2m=0.; dphidy2m=0.; dphidz2m=0.;
dudphidxm=0.; dvdphidxm=0.; dwdphidxm=0.;
dudphidym=0.; dvdphidym=0.; dwdphidym=0.;
dudphidzm=0.; dvdphidzm=0.; dwdphidzm=0.;
udtdxxm=0.; udtdyym=0.; udtdzzm=0.;
vdtdxxm=0.; vdtdyym=0.; vdtdzzm=0.;
wdtdxxm=0.; wdtdyym=0.; wdtdzzm=0.;
uphi2m=0.; vphi2m=0.; wphi2m=0.;
phiuum=0.; phivvm=0.; phiwwm=0.;
phiuvm=0.; phiuwm=0.; phivwm=0.;
!
dtdxdtdym=0.; dtdxdtdzm=0.; dtdydtdzm=0.; ! TT
dtdxdudym=0.; dtdydudxm=0.; ! uT
dtdxdudzm=0.; dtdzdudxm=0.;
dtdydudzm=0.; dtdzdudym=0.;
dtdxdvdym=0.; dtdydvdxm=0.; ! vT
dtdxdvdzm=0.; dtdzdvdxm=0.;
dtdydvdzm=0.; dtdzdvdym=0.;
dtdxdwdym=0.; dtdydwdxm=0.; ! wT
dtdxdwdzm=0.; dtdzdwdxm=0.;
dtdydwdzm=0.; dtdzdwdym=0.;
!
vdtdxm=0.; vdtdym=0.; vdtdzm=0.;
!
dudx_dudtdxm=0.; dudx_dudtdym=0.; dudx_dudtdzm=0.;
dudy_dvdtdxm=0.; dudy_dvdtdym=0.; dudy_dvdtdzm=0.;
dudz_dwdtdxm=0.; dudz_dwdtdym=0.; dudz_dwdtdzm=0.;
dtdx_dududym=0.; dtdx_dududzm=0.;
dtdy_dudvdxm=0.; dtdy_dudvdzm=0.;
dtdz_dudwdxm=0.; dtdz_dudwdym=0.;
!
dvdx_dudtdxm=0.; dvdx_dudtdym=0.; dvdx_dudtdzm=0.;
dvdy_dvdtdxm=0.; dvdy_dvdtdym=0.; dvdy_dvdtdzm=0.;
dvdz_dwdtdxm=0.; dvdz_dwdtdym=0.; dvdz_dwdtdzm=0.;
dtdx_dudvdym=0.; dtdx_dudvdzm=0.;
dtdy_dvdvdxm=0.; dtdy_dvdvdzm=0.;
dtdz_dvdwdxm=0.; dtdz_dvdwdym=0.;
!
dtdx_dudtdxm=0.; dtdx_dudtdym=0.; dtdx_dudtdzm=0.;
dtdy_dvdtdxm=0.; dtdy_dvdtdym=0.; dtdy_dvdtdzm=0.;
dtdz_dwdtdxm=0.; dtdz_dwdtdym=0.; dtdz_dwdtdzm=0.;
!
vdudtdxm=0.; vdudtdym=0.; vdudtdzm=0.;
vdvdtdxm=0.; vdvdtdym=0.; vdvdtdzm=0.;
vdtdx2m=0.; vdtdy2m=0.; vdtdz2m=0.;
!
dpdtdxm=0.; dpdtdym=0.; dpdtdzm=0.;
dpdtdxxm=0.; dpdtdxym=0.; dpdtdxzm=0.;
dpdtdyxm=0.; dpdtdyym=0.; dpdtdyzm=0.;
!
dudtdxxm=0.; dudtdyym=0.; dudtdzzm=0.;
dudtdxym=0.; dudtdxzm=0.; dudtdyzm=0.;
!
dudx_dtdxxxm=0.; dudx_dtdyxxm=0.; dudx_dtdzxxm=0.;
dudy_dtdxyym=0.; dudy_dtdyyym=0.; dudy_dtdzyym=0.;
dudz_dtdxzzm=0.; dudz_dtdyzzm=0.; dudz_dtdzzzm=0.;
!
dvdtdxxm=0.; dvdtdyym=0.; dvdtdzzm=0.;
dvdtdxym=0.; dvdtdxzm=0.; dvdtdyzm=0.;
!
dvdx_dtdxxxm=0.; dvdx_dtdyxxm=0.; dvdx_dtdzxxm=0.;
dvdy_dtdxyym=0.; dvdy_dtdyyym=0.; dvdy_dtdzyym=0.;
dvdz_dtdxzzm=0.; dvdz_dtdyzzm=0.; dvdz_dtdzzzm=0.;
!
dtdxx2m=0.; dtdyy2m=0.; dtdzz2m=0.;
dtdxy2m=0.; dtdxz2m=0.; dtdyz2m=0.;
!
endif
! Pression
allocate(presm(xst1:xen1,xst2:xen2,xst3:xen3))
allocate(pres2m(xst1:xen1,xst2:xen2,xst3:xen3))
!
presm=0.; pres2m=0.;
!
end subroutine allocate_user_stats
subroutine update_user_stats_non_phi(ux,uy,uz,dpdx,dpdy,dpdz,&
dudx,dudy,dudz,&
dvdx,dvdy,dvdz,&
dwdx,dwdy,dwdz,&
dudxx, dudyy, dudzz, dudxy, dudxz, dudyz,&
dvdxx, dvdyy, dvdzz, dvdxy, dvdxz, dvdyz,&
dwdxx, dwdyy, dwdzz, dwdxy, dwdxz, dwdyz,&
pres,pp3,&
phG,ph1,ph2,ph3,ph4)
use decomp_2d, only : xsize, nrank, DECOMP_INFO
use param, only : itime
implicit none
TYPE(DECOMP_INFO), intent(in) :: phG,ph1,ph2,ph3,ph4
real(mytype), dimension(xsize(1),xsize(2),xsize(3)), intent(in) :: ux,uy,uz,&
dpdx, dpdy, dpdz,&
dudx, dudy, dudz,&
dvdx, dvdy, dvdz,&
dwdx, dwdy, dwdz,&
dudxx, dudyy, dudzz, dudxy, dudxz, dudyz,&
dvdxx, dvdyy, dvdzz, dvdxy, dvdxz, dvdyz,&
dwdxx, dwdyy, dwdzz, dwdxy, dwdxz, dwdyz,&
pres
real(mytype), dimension(ph3%zst(1):ph3%zen(1),ph3%zst(2):ph3%zen(2),ph3%zst(3):ph3%zen(3)), intent(in) :: pp3
! Local variable
integer :: coeff
coeff=itime-beg_stat
if (coeff.le.0) then
if (nrank.eq.0) print*,'ERROR : cannot start to compute statistics at ',itime,'. Wait till ',beg_stat
return
endif
um = (real(coeff-1, kind=mytype)*um + fine_interpol(ux)) / real(coeff, kind=mytype)
vm = (real(coeff-1, kind=mytype)*vm + fine_interpol(uy)) / real(coeff, kind=mytype)
wm = (real(coeff-1, kind=mytype)*wm + fine_interpol(uz)) / real(coeff, kind=mytype)
dpdxm = (real(coeff-1, kind=mytype)*dpdxm + fine_interpol(dpdx)) / real(coeff, kind=mytype)
dpdym = (real(coeff-1, kind=mytype)*dpdym + fine_interpol(dpdy)) / real(coeff, kind=mytype)
dpdzm = (real(coeff-1, kind=mytype)*dpdzm + fine_interpol(dpdz)) / real(coeff, kind=mytype)
dudym = (real(coeff-1, kind=mytype)*dudym + fine_interpol(dudy)) / real(coeff, kind=mytype)
dvdym = (real(coeff-1, kind=mytype)*dvdym + fine_interpol(dvdy)) / real(coeff, kind=mytype)
dwdym = (real(coeff-1, kind=mytype)*dwdym + fine_interpol(dwdy)) / real(coeff, kind=mytype)
dudyym = (real(coeff-1, kind=mytype)*dudyym + fine_interpol(dudyy)) / real(coeff, kind=mytype)
dvdyym = (real(coeff-1, kind=mytype)*dvdyym + fine_interpol(dvdyy)) / real(coeff, kind=mytype)
dwdyym = (real(coeff-1, kind=mytype)*dwdyym + fine_interpol(dwdyy)) / real(coeff, kind=mytype)
uum = (real(coeff-1, kind=mytype)*uum + fine_interpol(ux*ux)) / real(coeff, kind=mytype)
vvm = (real(coeff-1, kind=mytype)*vvm + fine_interpol(uy*uy)) / real(coeff, kind=mytype)
wwm = (real(coeff-1, kind=mytype)*wwm + fine_interpol(uz*uz)) / real(coeff, kind=mytype)
uvm = (real(coeff-1, kind=mytype)*uvm + fine_interpol(ux*uy)) / real(coeff, kind=mytype)
uwm = (real(coeff-1, kind=mytype)*uwm + fine_interpol(ux*uz)) / real(coeff, kind=mytype)
vwm = (real(coeff-1, kind=mytype)*vwm + fine_interpol(uy*uz)) / real(coeff, kind=mytype)
udpdxm = (real(coeff-1, kind=mytype)*udpdxm + fine_interpol(ux*dpdx)) / real(coeff, kind=mytype)
udpdym = (real(coeff-1, kind=mytype)*udpdym + fine_interpol(ux*dpdy)) / real(coeff, kind=mytype)
udpdzm = (real(coeff-1, kind=mytype)*udpdzm + fine_interpol(ux*dpdz)) / real(coeff, kind=mytype)
vdpdxm = (real(coeff-1, kind=mytype)*vdpdxm + fine_interpol(uy*dpdx)) / real(coeff, kind=mytype)
vdpdym = (real(coeff-1, kind=mytype)*vdpdym + fine_interpol(uy*dpdy)) / real(coeff, kind=mytype)
vdpdzm = (real(coeff-1, kind=mytype)*vdpdzm + fine_interpol(uy*dpdz)) / real(coeff, kind=mytype)
wdpdxm = (real(coeff-1, kind=mytype)*wdpdxm + fine_interpol(uz*dpdx)) / real(coeff, kind=mytype)
wdpdym = (real(coeff-1, kind=mytype)*wdpdym + fine_interpol(uz*dpdy)) / real(coeff, kind=mytype)
wdpdzm = (real(coeff-1, kind=mytype)*wdpdzm + fine_interpol(uz*dpdz)) / real(coeff, kind=mytype)
uuum = (real(coeff-1, kind=mytype)*uuum + fine_interpol(ux*ux*ux)) / real(coeff, kind=mytype)
uvvm = (real(coeff-1, kind=mytype)*uvvm + fine_interpol(ux*uy*uy)) / real(coeff, kind=mytype)
uwwm = (real(coeff-1, kind=mytype)*uwwm + fine_interpol(ux*uz*uz)) / real(coeff, kind=mytype)
vuum = (real(coeff-1, kind=mytype)*vuum + fine_interpol(uy*ux*ux)) / real(coeff, kind=mytype)
vvvm = (real(coeff-1, kind=mytype)*vvvm + fine_interpol(uy*uy*uy)) / real(coeff, kind=mytype)
vwwm = (real(coeff-1, kind=mytype)*vwwm + fine_interpol(uy*uz*uz)) / real(coeff, kind=mytype)
wuum = (real(coeff-1, kind=mytype)*wuum + fine_interpol(uz*ux*ux)) / real(coeff, kind=mytype)
wvvm = (real(coeff-1, kind=mytype)*wvvm + fine_interpol(uz*uy*uy)) / real(coeff, kind=mytype)
wwwm = (real(coeff-1, kind=mytype)*wwwm + fine_interpol(uz*uz*uz)) / real(coeff, kind=mytype)
uvwm = (real(coeff-1, kind=mytype)*uvwm + fine_interpol(ux*uy*uz)) / real(coeff, kind=mytype)
dudx2m = (real(coeff-1, kind=mytype)*dudx2m + fine_interpol(dudx*dudx)) / real(coeff, kind=mytype)
dudy2m = (real(coeff-1, kind=mytype)*dudy2m + fine_interpol(dudy*dudy)) / real(coeff, kind=mytype)
dudz2m = (real(coeff-1, kind=mytype)*dudz2m + fine_interpol(dudz*dudz)) / real(coeff, kind=mytype)
dvdx2m = (real(coeff-1, kind=mytype)*dvdx2m + fine_interpol(dvdx*dvdx)) / real(coeff, kind=mytype)
dvdy2m = (real(coeff-1, kind=mytype)*dvdy2m + fine_interpol(dvdy*dvdy)) / real(coeff, kind=mytype)
dvdz2m = (real(coeff-1, kind=mytype)*dvdz2m + fine_interpol(dvdz*dvdz)) / real(coeff, kind=mytype)
dwdx2m = (real(coeff-1, kind=mytype)*dwdx2m + fine_interpol(dwdx*dwdx)) / real(coeff, kind=mytype)
dwdy2m = (real(coeff-1, kind=mytype)*dwdy2m + fine_interpol(dwdy*dwdy)) / real(coeff, kind=mytype)
dwdz2m = (real(coeff-1, kind=mytype)*dwdz2m + fine_interpol(dwdz*dwdz)) / real(coeff, kind=mytype)
dudvdxm= (real(coeff-1, kind=mytype)*dudvdxm+ real(1, kind=mytype)*fine_interpol(dudx*dvdx)) / real(coeff, kind=mytype)
dudwdxm= (real(coeff-1, kind=mytype)*dudwdxm+ real(1, kind=mytype)*fine_interpol(dudx*dwdx)) / real(coeff, kind=mytype)
dvdwdxm= (real(coeff-1, kind=mytype)*dvdwdxm+ real(1, kind=mytype)*fine_interpol(dvdx*dwdx)) / real(coeff, kind=mytype)
dudvdym= (real(coeff-1, kind=mytype)*dudvdym+ real(1, kind=mytype)*fine_interpol(dudy*dvdy)) / real(coeff, kind=mytype)
dudwdym= (real(coeff-1, kind=mytype)*dudwdym+ real(1, kind=mytype)*fine_interpol(dudy*dwdy)) / real(coeff, kind=mytype)
dvdwdym= (real(coeff-1, kind=mytype)*dvdwdym+ real(1, kind=mytype)*fine_interpol(dvdy*dwdy)) / real(coeff, kind=mytype)
dudvdzm= (real(coeff-1, kind=mytype)*dudvdzm+ real(1, kind=mytype)*fine_interpol(dudz*dvdz)) / real(coeff, kind=mytype)
dudwdzm= (real(coeff-1, kind=mytype)*dudwdzm+ real(1, kind=mytype)*fine_interpol(dudz*dwdz)) / real(coeff, kind=mytype)
dvdwdzm= (real(coeff-1, kind=mytype)*dvdwdzm+ real(1, kind=mytype)*fine_interpol(dvdz*dwdz)) / real(coeff, kind=mytype)
dudxdudym = (real(coeff-1, kind=mytype)*dudxdudym + fine_interpol(dudx*dudy)) / real(coeff, kind=mytype) ! uu
dudxdudzm = (real(coeff-1, kind=mytype)*dudxdudzm + fine_interpol(dudx*dudz)) / real(coeff, kind=mytype)
dudydudzm = (real(coeff-1, kind=mytype)*dudydudzm + fine_interpol(dudy*dudz)) / real(coeff, kind=mytype)
dvdxdvdym = (real(coeff-1, kind=mytype)*dvdxdvdym + fine_interpol(dvdx*dvdy)) / real(coeff, kind=mytype) ! vv
dvdxdvdzm = (real(coeff-1, kind=mytype)*dvdxdvdzm + fine_interpol(dvdx*dvdz)) / real(coeff, kind=mytype)
dvdydvdzm = (real(coeff-1, kind=mytype)*dvdydvdzm + fine_interpol(dvdy*dvdz)) / real(coeff, kind=mytype)
dwdxdwdym = (real(coeff-1, kind=mytype)*dwdxdwdym + fine_interpol(dwdx*dwdy)) / real(coeff, kind=mytype) ! ww
dwdxdwdzm = (real(coeff-1, kind=mytype)*dwdxdwdzm + fine_interpol(dwdx*dwdz)) / real(coeff, kind=mytype)
dwdydwdzm = (real(coeff-1, kind=mytype)*dwdydwdzm + fine_interpol(dwdy*dwdz)) / real(coeff, kind=mytype)
dudxdvdym = (real(coeff-1, kind=mytype)*dudxdvdym + fine_interpol(dudx*dvdy)) / real(coeff, kind=mytype) ! uv
dudydvdxm = (real(coeff-1, kind=mytype)*dudydvdxm + fine_interpol(dudy*dvdx)) / real(coeff, kind=mytype)
dudxdvdzm = (real(coeff-1, kind=mytype)*dudxdvdzm + fine_interpol(dudx*dvdz)) / real(coeff, kind=mytype)
dudzdvdxm = (real(coeff-1, kind=mytype)*dudzdvdxm + fine_interpol(dudz*dvdx)) / real(coeff, kind=mytype)
dudydvdzm = (real(coeff-1, kind=mytype)*dudydvdzm + fine_interpol(dudy*dvdz)) / real(coeff, kind=mytype)
dudzdvdym = (real(coeff-1, kind=mytype)*dudzdvdym + fine_interpol(dudz*dvdy)) / real(coeff, kind=mytype)
dudxdwdym = (real(coeff-1, kind=mytype)*dudxdwdym + fine_interpol(dudx*dwdy)) / real(coeff, kind=mytype) ! uw
dudydwdxm = (real(coeff-1, kind=mytype)*dudydwdxm + fine_interpol(dudy*dwdx)) / real(coeff, kind=mytype)
dudxdwdzm = (real(coeff-1, kind=mytype)*dudxdwdzm + fine_interpol(dudx*dwdz)) / real(coeff, kind=mytype)
dudzdwdxm = (real(coeff-1, kind=mytype)*dudzdwdxm + fine_interpol(dudz*dwdx)) / real(coeff, kind=mytype)
dudydwdzm = (real(coeff-1, kind=mytype)*dudydwdzm + fine_interpol(dudy*dwdz)) / real(coeff, kind=mytype)
dudzdwdym = (real(coeff-1, kind=mytype)*dudzdwdym + fine_interpol(dudz*dwdy)) / real(coeff, kind=mytype)
dvdxdwdym = (real(coeff-1, kind=mytype)*dvdxdwdym + fine_interpol(dvdx*dwdy)) / real(coeff, kind=mytype) ! vw
dvdydwdxm = (real(coeff-1, kind=mytype)*dvdydwdxm + fine_interpol(dvdy*dwdx)) / real(coeff, kind=mytype)
dvdxdwdzm = (real(coeff-1, kind=mytype)*dvdxdwdzm + fine_interpol(dvdx*dwdz)) / real(coeff, kind=mytype)
dvdzdwdxm = (real(coeff-1, kind=mytype)*dvdzdwdxm + fine_interpol(dvdz*dwdx)) / real(coeff, kind=mytype)
dvdydwdzm = (real(coeff-1, kind=mytype)*dvdydwdzm + fine_interpol(dvdy*dwdz)) / real(coeff, kind=mytype)
dvdzdwdym = (real(coeff-1, kind=mytype)*dvdzdwdym + fine_interpol(dvdz*dwdy)) / real(coeff, kind=mytype)
vdudxm = (real(coeff-1, kind=mytype)*vdudxm + fine_interpol(uy*dudx)) / real(coeff, kind=mytype)
vdudym = (real(coeff-1, kind=mytype)*vdudym + fine_interpol(uy*dudy)) / real(coeff, kind=mytype)
vdudzm = (real(coeff-1, kind=mytype)*vdudzm + fine_interpol(uy*dudz)) / real(coeff, kind=mytype)
vdvdxm = (real(coeff-1, kind=mytype)*vdvdxm + fine_interpol(uy*dvdx)) / real(coeff, kind=mytype)
vdvdym = (real(coeff-1, kind=mytype)*vdvdym + fine_interpol(uy*dvdy)) / real(coeff, kind=mytype)
vdvdzm = (real(coeff-1, kind=mytype)*vdvdzm + fine_interpol(uy*dvdz)) / real(coeff, kind=mytype)
vdwdxm = (real(coeff-1, kind=mytype)*vdwdxm + fine_interpol(uy*dwdx)) / real(coeff, kind=mytype)
vdwdym = (real(coeff-1, kind=mytype)*vdwdym + fine_interpol(uy*dwdy)) / real(coeff, kind=mytype)
vdwdzm = (real(coeff-1, kind=mytype)*vdwdzm + fine_interpol(uy*dwdz)) / real(coeff, kind=mytype)
dudx_dududxm = (real(coeff-1, kind=mytype)*dudx_dududxm + fine_interpol(dudx*dudx*dudx)) / real(coeff, kind=mytype) ! dudx_eps11
dudx_dududym = (real(coeff-1, kind=mytype)*dudx_dududym + fine_interpol(dudx*dudy*dudy)) / real(coeff, kind=mytype)
dudx_dududzm = (real(coeff-1, kind=mytype)*dudx_dududzm + fine_interpol(dudx*dudz*dudz)) / real(coeff, kind=mytype)
dudy_dudvdxm = (real(coeff-1, kind=mytype)*dudy_dudvdxm + fine_interpol(dudy*dudx*dvdx)) / real(coeff, kind=mytype) ! dudy_eps12
dudy_dudvdym = (real(coeff-1, kind=mytype)*dudy_dudvdym + fine_interpol(dudy*dudy*dvdy)) / real(coeff, kind=mytype)
dudy_dudvdzm = (real(coeff-1, kind=mytype)*dudy_dudvdzm + fine_interpol(dudy*dudz*dvdz)) / real(coeff, kind=mytype)
dudz_dudwdxm = (real(coeff-1, kind=mytype)*dudz_dudwdxm + fine_interpol(dudz*dudx*dwdx)) / real(coeff, kind=mytype) ! dudz_eps13
dudz_dudwdym = (real(coeff-1, kind=mytype)*dudz_dudwdym + fine_interpol(dudz*dudy*dwdy)) / real(coeff, kind=mytype)
dudz_dudwdzm = (real(coeff-1, kind=mytype)*dudz_dudwdzm + fine_interpol(dudz*dudz*dwdz)) / real(coeff, kind=mytype)
dvdx_dvdudxm = (real(coeff-1, kind=mytype)*dvdx_dvdudxm + fine_interpol(dvdx*dvdx*dudx)) / real(coeff, kind=mytype) ! dvdx_eps12
dvdx_dvdudym = (real(coeff-1, kind=mytype)*dvdx_dvdudym + fine_interpol(dvdx*dvdy*dudy)) / real(coeff, kind=mytype)
dvdx_dvdudzm = (real(coeff-1, kind=mytype)*dvdx_dvdudzm + fine_interpol(dvdx*dvdz*dudz)) / real(coeff, kind=mytype)
dvdy_dvdvdxm = (real(coeff-1, kind=mytype)*dvdy_dvdvdxm + fine_interpol(dvdy*dvdx*dvdx)) / real(coeff, kind=mytype) ! dvdy_eps22
dvdy_dvdvdym = (real(coeff-1, kind=mytype)*dvdy_dvdvdym + fine_interpol(dvdy*dvdy*dvdy)) / real(coeff, kind=mytype)
dvdy_dvdvdzm = (real(coeff-1, kind=mytype)*dvdy_dvdvdzm + fine_interpol(dvdy*dvdz*dvdz)) / real(coeff, kind=mytype)
dvdz_dvdwdxm = (real(coeff-1, kind=mytype)*dvdz_dvdwdxm + fine_interpol(dvdz*dvdx*dwdx)) / real(coeff, kind=mytype) ! dvdz_eps23
dvdz_dvdwdym = (real(coeff-1, kind=mytype)*dvdz_dvdwdym + fine_interpol(dvdz*dvdy*dwdy)) / real(coeff, kind=mytype)
dvdz_dvdwdzm = (real(coeff-1, kind=mytype)*dvdz_dvdwdzm + fine_interpol(dvdz*dvdz*dwdz)) / real(coeff, kind=mytype)
dwdx_dwdudxm = (real(coeff-1, kind=mytype)*dwdx_dwdudxm + fine_interpol(dwdx*dwdx*dudx)) / real(coeff, kind=mytype) ! dwdx_eps13
dwdx_dwdudym = (real(coeff-1, kind=mytype)*dwdx_dwdudym + fine_interpol(dwdx*dwdy*dudy)) / real(coeff, kind=mytype)
dwdx_dwdudzm = (real(coeff-1, kind=mytype)*dwdx_dwdudzm + fine_interpol(dwdx*dwdz*dudz)) / real(coeff, kind=mytype)
dwdy_dwdvdxm = (real(coeff-1, kind=mytype)*dwdy_dwdvdxm + fine_interpol(dwdy*dwdx*dvdx)) / real(coeff, kind=mytype) ! dwdy_eps23
dwdy_dwdvdym = (real(coeff-1, kind=mytype)*dwdy_dwdvdym + fine_interpol(dwdy*dwdy*dvdy)) / real(coeff, kind=mytype)
dwdy_dwdvdzm = (real(coeff-1, kind=mytype)*dwdy_dwdvdzm + fine_interpol(dwdy*dwdz*dvdz)) / real(coeff, kind=mytype)
dwdz_dwdwdxm = (real(coeff-1, kind=mytype)*dwdz_dwdwdxm + fine_interpol(dwdz*dwdx*dwdx)) / real(coeff, kind=mytype) ! dwdz_eps33
dwdz_dwdwdym = (real(coeff-1, kind=mytype)*dwdz_dwdwdym + fine_interpol(dwdz*dwdy*dwdy)) / real(coeff, kind=mytype)
dwdz_dwdwdzm = (real(coeff-1, kind=mytype)*dwdz_dwdwdzm + fine_interpol(dwdz*dwdz*dwdz)) / real(coeff, kind=mytype)
dudx_dudvdxm = (real(coeff-1, kind=mytype)*dudx_dudvdxm + fine_interpol(dudx*dudx*dvdx)) / real(coeff, kind=mytype) ! dudx_eps21
dudx_dudvdym = (real(coeff-1, kind=mytype)*dudx_dudvdym + fine_interpol(dudx*dudy*dvdy)) / real(coeff, kind=mytype)
dudx_dudvdzm = (real(coeff-1, kind=mytype)*dudx_dudvdzm + fine_interpol(dudx*dudz*dvdz)) / real(coeff, kind=mytype)
dudy_dvdvdxm = (real(coeff-1, kind=mytype)*dudy_dvdvdxm + fine_interpol(dudy*dvdx*dvdx)) / real(coeff, kind=mytype) ! dudy_eps22
dudy_dvdvdym = (real(coeff-1, kind=mytype)*dudy_dvdvdym + fine_interpol(dudy*dvdy*dvdy)) / real(coeff, kind=mytype)
dudy_dvdvdzm = (real(coeff-1, kind=mytype)*dudy_dvdvdzm + fine_interpol(dudy*dvdz*dvdz)) / real(coeff, kind=mytype)
dudz_dvdwdxm = (real(coeff-1, kind=mytype)*dudz_dvdwdxm + fine_interpol(dudz*dvdx*dwdx)) / real(coeff, kind=mytype) ! dudz_eps23
dudz_dvdwdym = (real(coeff-1, kind=mytype)*dudz_dvdwdym + fine_interpol(dudz*dvdy*dwdy)) / real(coeff, kind=mytype)
dudz_dvdwdzm = (real(coeff-1, kind=mytype)*dudz_dvdwdzm + fine_interpol(dudz*dvdz*dwdz)) / real(coeff, kind=mytype)
dvdx_dududxm = (real(coeff-1, kind=mytype)*dvdx_dududxm + fine_interpol(dvdx*dudx*dudx)) / real(coeff, kind=mytype) ! dvdx_eps11
dvdx_dududym = (real(coeff-1, kind=mytype)*dvdx_dududym + fine_interpol(dvdx*dudy*dudy)) / real(coeff, kind=mytype)
dvdx_dududzm = (real(coeff-1, kind=mytype)*dvdx_dududzm + fine_interpol(dvdx*dudz*dudz)) / real(coeff, kind=mytype)
dvdy_dudvdxm = (real(coeff-1, kind=mytype)*dvdy_dudvdxm + fine_interpol(dvdy*dudx*dvdx)) / real(coeff, kind=mytype) ! dvdy_eps12
dvdy_dudvdym = (real(coeff-1, kind=mytype)*dvdy_dudvdym + fine_interpol(dvdy*dudy*dvdy)) / real(coeff, kind=mytype)
dvdy_dudvdzm = (real(coeff-1, kind=mytype)*dvdy_dudvdzm + fine_interpol(dvdy*dudz*dvdz)) / real(coeff, kind=mytype)
dvdz_dudwdxm = (real(coeff-1, kind=mytype)*dvdz_dudwdxm + fine_interpol(dvdz*dudx*dwdx)) / real(coeff, kind=mytype) ! dvdz_eps13
dvdz_dudwdym = (real(coeff-1, kind=mytype)*dvdz_dudwdym + fine_interpol(dvdz*dudy*dwdy)) / real(coeff, kind=mytype)
dvdz_dudwdzm = (real(coeff-1, kind=mytype)*dvdz_dudwdzm + fine_interpol(dvdz*dudz*dwdz)) / real(coeff, kind=mytype)
vdudx2m = (real(coeff-1, kind=mytype)*vdudx2m + fine_interpol(uy*dudx*dudx)) / real(coeff, kind=mytype) ! EpsXX
vdudy2m = (real(coeff-1, kind=mytype)*vdudy2m + fine_interpol(uy*dudy*dudy)) / real(coeff, kind=mytype)
vdudz2m = (real(coeff-1, kind=mytype)*vdudz2m + fine_interpol(uy*dudz*dudz)) / real(coeff, kind=mytype)
vdvdx2m = (real(coeff-1, kind=mytype)*vdvdx2m + fine_interpol(uy*dvdx*dvdx)) / real(coeff, kind=mytype) ! EpsYY
vdvdy2m = (real(coeff-1, kind=mytype)*vdvdy2m + fine_interpol(uy*dvdy*dvdy)) / real(coeff, kind=mytype)
vdvdz2m = (real(coeff-1, kind=mytype)*vdvdz2m + fine_interpol(uy*dvdz*dvdz)) / real(coeff, kind=mytype)
vdwdx2m = (real(coeff-1, kind=mytype)*vdwdx2m + fine_interpol(uy*dwdx*dwdx)) / real(coeff, kind=mytype) ! EpsZZ
vdwdy2m = (real(coeff-1, kind=mytype)*vdwdy2m + fine_interpol(uy*dwdy*dwdy)) / real(coeff, kind=mytype)
vdwdz2m = (real(coeff-1, kind=mytype)*vdwdz2m + fine_interpol(uy*dwdz*dwdz)) / real(coeff, kind=mytype)
vdudvdxm = (real(coeff-1, kind=mytype)*vdudvdxm + fine_interpol(uy*dudx*dvdx)) / real(coeff, kind=mytype) ! EpsXY
vdudvdym = (real(coeff-1, kind=mytype)*vdudvdym + fine_interpol(uy*dudy*dvdy)) / real(coeff, kind=mytype)
vdudvdzm = (real(coeff-1, kind=mytype)*vdudvdzm + fine_interpol(uy*dudz*dvdz)) / real(coeff, kind=mytype)
dpdvdxm = (real(coeff-1, kind=mytype)*dpdvdxm + fine_interpol(dpdx*dvdx)) / real(coeff, kind=mytype) ! EpsYY
dpdvdym = (real(coeff-1, kind=mytype)*dpdvdym + fine_interpol(dpdy*dvdy)) / real(coeff, kind=mytype)
dpdvdzm = (real(coeff-1, kind=mytype)*dpdvdzm + fine_interpol(dpdz*dvdz)) / real(coeff, kind=mytype)
dpdudxm = (real(coeff-1, kind=mytype)*dpdudxm + fine_interpol(dpdx*dudx)) / real(coeff, kind=mytype) ! EpsXY
dpdudym = (real(coeff-1, kind=mytype)*dpdudym + fine_interpol(dpdy*dudy)) / real(coeff, kind=mytype)
dpdudzm = (real(coeff-1, kind=mytype)*dpdudzm + fine_interpol(dpdz*dudz)) / real(coeff, kind=mytype)
dpdxdudyxm = (real(coeff-1, kind=mytype)*dpdxdudyxm + fine_interpol(dpdx*dudxy)) / real(coeff, kind=mytype)
dpdydudyym = (real(coeff-1, kind=mytype)*dpdydudyym + fine_interpol(dpdy*dudyy)) / real(coeff, kind=mytype)
dpdzdudyzm = (real(coeff-1, kind=mytype)*dpdzdudyzm + fine_interpol(dpdz*dudyz)) / real(coeff, kind=mytype)
dpdxdvdxxm = (real(coeff-1, kind=mytype)*dpdxdvdxxm + fine_interpol(dpdx*dvdxx)) / real(coeff, kind=mytype)
dpdydvdxym = (real(coeff-1, kind=mytype)*dpdydvdxym + fine_interpol(dpdy*dvdxy)) / real(coeff, kind=mytype)
dpdzdvdxzm = (real(coeff-1, kind=mytype)*dpdzdvdxzm + fine_interpol(dpdz*dvdxz)) / real(coeff, kind=mytype)
dudxx2m = (real(coeff-1, kind=mytype)*dudxx2m + fine_interpol(dudxx*dudxx)) / real(coeff, kind=mytype) ! uu
dudyy2m = (real(coeff-1, kind=mytype)*dudyy2m + fine_interpol(dudyy*dudyy)) / real(coeff, kind=mytype)
dudzz2m = (real(coeff-1, kind=mytype)*dudzz2m + fine_interpol(dudzz*dudzz)) / real(coeff, kind=mytype)
dudxy2m = (real(coeff-1, kind=mytype)*dudxy2m + fine_interpol(dudxy*dudxy)) / real(coeff, kind=mytype)
dudxz2m = (real(coeff-1, kind=mytype)*dudxz2m + fine_interpol(dudxz*dudxz)) / real(coeff, kind=mytype)
dudyz2m = (real(coeff-1, kind=mytype)*dudyz2m + fine_interpol(dudyz*dudyz)) / real(coeff, kind=mytype)
dvdxx2m = (real(coeff-1, kind=mytype)*dvdxx2m + fine_interpol(dvdxx*dvdxx)) / real(coeff, kind=mytype) ! vv