!=============================================================================== ! User source terms definition. ! ! 1) Momentum equation (coupled solver) ! 2) Species transport ! 3) Turbulence (k-epsilon, k-omega, Rij-epsilon, v2-f, Spalart-Allmaras) !=============================================================================== !------------------------------------------------------------------------------- ! Code_Saturne version 6.0 ! ------------------------ ! This file is part of Code_Saturne, a general-purpose CFD tool. ! ! Copyright (C) 1998-2019 EDF S.A. ! ! This program is free software; you can redistribute it and/or modify it under ! the terms of the GNU General Public License as published by the Free Software ! Foundation; either version 2 of the License, or (at your option) any later ! version. ! ! This program is distributed in the hope that it will be useful, but WITHOUT ! ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS ! FOR A PARTICULAR PURPOSE. See the GNU General Public License for more ! details. ! ! You should have received a copy of the GNU General Public License along with ! this program; if not, write to the Free Software Foundation, Inc., 51 Franklin ! Street, Fifth Floor, Boston, MA 02110-1301, USA. !------------------------------------------------------------------------------- !=============================================================================== !> \file cs_user_source_terms.f90 !> !> \brief User subroutines for additional right-hand side source terms !> !> See \subpage cs_user_source_terms and !> \subpage cs_user_source_terms-scalar_in_a_channel for examples. !> !=============================================================================== !> \brief Additional right-hand side source terms for velocity components equation !> (Navier-Stokes) !> !> \deprecated Use \ref cs_user_source_terms instead. !> !> \section ustsnv_use Usage !> !> The additional source term is decomposed into an explicit part (\c crvexp) and !> an implicit part (\c crvimp) that must be provided here. !> The resulting equation solved by the code for a velocity is: !> \f[ !> \rho \norm{\vol{\celli}} \DP{\vect{u}} + .... !> = \tens{crvimp} \cdot \vect{u} + \vect{crvexp} !> \f] !> !> Note that \c crvexp and \c crvimp are defined after the Finite Volume integration !> over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in kg.m/s2 !> - crvimp is expressed in kg/s !> !> The \c crvexp and \c crvimp arrays are already initialized to 0 !> before entering the !> the routine. It is not needed to do it in the routine (waste of CPU time). !> !> \remark The additional force on \f$ x_i \f$ direction is given by !> \c crvexp(i, iel) + vel(j, iel)* crvimp(j, i, iel). !> !> For stability reasons, Code_Saturne will not add -crvimp directly to the !> diagonal of the matrix, but Max(-crvimp,0). This way, the crvimp term is !> treated implicitely only if it strengthens the diagonal of the matrix. !> However, when using the second-order in time scheme, this limitation cannot !> be done anymore and -crvimp is added directly. The user should therefore test !> the negativity of crvimp by himself. !> !> When using the second-order in time scheme, one should supply: !> - crvexp at time n !> - crvimp at time n+1/2 !> !> The selection of cells where to apply the source terms is based on a !> \ref getcel command. For more info on the syntax of the \ref getcel command, !> refer to the user manual or to the comments on the similar command !> \ref getfbr in the routine \ref cs_user_boundary_conditions. ! !------------------------------------------------------------------------------- !------------------------------------------------------------------------------- ! Arguments !______________________________________________________________________________. ! mode name role ! !______________________________________________________________________________! !> \param[in] nvar total number of variables !> \param[in] nscal total number of scalars !> \param[in] ncepdp number of cells with head loss terms !> \param[in] ncesmp number of cells with mass source terms !> \param[in] ivar index number of the current variable !> \param[in] icepdc index number of cells with head loss terms !> \param[in] icetsm index number of cells with mass source terms !> \param[in] itypsm type of mass source term for each variable !> (see \ref cs_user_mass_source_terms) !> \param[in] dt time step (per cell) !> \param[in] ckupdc head loss coefficient !> \param[in] smacel value associated to each variable in the mass !> source terms or mass rate (see !> \ref cs_user_mass_source_terms) !> \param[out] crvexp explicit part of the source term !> \param[out] crvimp implicit part of the source term !_______________________________________________________________________________ subroutine ustsnv & ( nvar , nscal , ncepdp , ncesmp , & ivar , & icepdc , icetsm , itypsm , & dt , & ckupdc , smacel , & crvexp , crvimp ) !=============================================================================== !=============================================================================== ! Module files !=============================================================================== use paramx use numvar use entsor use optcal use cstphy use parall use period use mesh use field !=============================================================================== implicit none ! Arguments integer nvar , nscal integer ncepdp , ncesmp integer ivar integer icepdc(ncepdp) integer icetsm(ncesmp), itypsm(ncesmp,nvar) double precision dt(ncelet) double precision ckupdc(6,ncepdp), smacel(ncesmp,nvar) double precision crvexp(3,ncelet), crvimp(3,3,ncelet) ! Local variables character*80 chaine integer iel, ielt, nlelt double precision ckp, qdm, beta, vol_tot, s_tot, x, y, z integer, allocatable, dimension(:) :: lstelt double precision, dimension(:), pointer :: cpro_rom !type(var_cal_opt) :: vcopt !=============================================================================== !=============================================================================== ! 1. Initialization !=============================================================================== ! Allocate a temporary array for cells selection allocate(lstelt(ncel)) !-------- ! Formats !-------- 1000 format(' User source terms for variable ', a8,/) !---- ! End !---- ! Deallocate the temporary array deallocate(lstelt) return end subroutine ustsnv !=============================================================================== !=============================================================================== !> User subroutine. !> \brief Additional right-hand side source terms for scalar equations (user !> scalars and specific physics scalars). !> !> \deprecated Use \ref cs_user_source_terms instead. !> !> Usage !> ----- !> The routine is called for each scalar, user or specific physisc. It is !> therefore necessary to test the value of the scalar number iscal to separate !> the treatments of the different scalars (if (iscal.eq.p) then ....). !> !> The additional source term is decomposed into an explicit part (crvexp) and !> an implicit part (crvimp) that must be provided here. !> The resulting equation solved by the code for a scalar f is: !> !> \f[ \rho*volume*\frac{df}{dt} + .... = crvimp*f + crvexp \f] !> !> !> Note that crvexp and crvimp are defined after the Finite Volume integration !> over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in kg.[scal]/s, where [scal] is the unit of the scalar !> - crvimp is expressed in kg/s !> !> !> The crvexp and crvimp arrays are already initialized to 0 before entering the !> the routine. It is not needed to do it in the routine (waste of CPU time). !> !> For stability reasons, Code_Saturne will not add -crvimp directly to the !> diagonal of the matrix, but Max(-crvimp,0). This way, the crvimp term is !> treated implicitely only if it strengthens the diagonal of the matrix. !> However, when using the second-order in time scheme, this limitation cannot !> be done anymore and -crvimp is added directly. The user should therefore test !> the negativity of crvimp by himself. !> !> When using the second-order in time scheme, one should supply: !> - crvexp at time n !> - crvimp at time n+1/2 !> !> !> The selection of cells where to apply the source terms is based on a getcel !> command. For more info on the syntax of the getcel command, refer to the !> user manual or to the comments on the similar command \ref getfbr in the routine !> \ref cs_user_boundary_conditions. !> WARNING: If scalar is the temperature, the resulting equation !> solved by the code is: !> !> rho*Cp*volume*dT/dt + .... = crvimp*T + crvexp !> !> !> Note that crvexp and crvimp are defined after the Finite Volume integration !> over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in W !> - crvimp is expressed in W/K !> !> !> STEP SOURCE TERMS !>=================== !> In case of a complex, non-linear source term, say F(f), for scalar f, the !> easiest method is to implement the source term explicitely. !> !> df/dt = .... + F(f(n)) !> where f(n) is the value of f at time tn, the beginning of the time step. !> !> This yields : !> crvexp = volume*F(f(n)) !> crvimp = 0 !> !> However, if the source term is potentially steep, this fully explicit !> method will probably generate instabilities. It is therefore wiser to !> partially implicit the term by writing: !> !> df/dt = .... + dF/df*f(n+1) - dF/df*f(n) + F(f(n)) !> !> This yields: !> crvexp = volume*( F(f(n)) - dF/df*f(n) ) !> crvimp = volume*dF/df !------------------------------------------------------------------------------- !------------------------------------------------------------------------------- ! Arguments !______________________________________________________________________________. ! mode name role !______________________________________________________________________________! !> \param[in] nvar total number of variables !> \param[in] nscal total number of scalars !> \param[in] ncepdp number of cells with head loss terms !> \param[in] ncesmp number of cells with mass source terms !> \param[in] iscal index number of the current scalar !> \param[in] icepdc index number of cells with head loss terms !> \param[in] icetsm index number of cells with mass source terms !> \param[in] itypsm type of mass source term for each variable !> \param[in] (see \ref cs_user_mass_source_terms) !> \param[in] dt time step (per cell) !> \param[in] ckupdc head loss coefficient !> \param[in] smacel value associated to each variable in the mass !> \param[in] source terms or mass rate (see \ref !> cs_user_mass_source_terms) !> \param[out] crvexp explicit part of the source term !> \param[out] crvimp implicit part of the source term !______________________________________________________________________________! subroutine ustssc & ( nvar , nscal , ncepdp , ncesmp , & iscal , & icepdc , icetsm , itypsm , & dt , & ckupdc , smacel , & crvexp , crvimp ) !=============================================================================== ! Module files !=============================================================================== use paramx use numvar use entsor use optcal use cstphy use parall use period use mesh use field !=============================================================================== implicit none ! Arguments integer nvar , nscal integer ncepdp , ncesmp integer iscal, iel_c, ifac integer icepdc(ncepdp) integer icetsm(ncesmp), itypsm(ncesmp,nvar) double precision dt(ncelet) double precision ckupdc(6,ncepdp), smacel(ncesmp,nvar) double precision crvexp(ncelet), crvimp(ncelet) ! Local variables character(len=80) :: chaine integer ivar, iiscvr, iel, ii integer ielt, nlelt double precision vol_tot, s_tot, x, y, z integer, allocatable, dimension(:) :: lstelt, lstelt_f double precision, dimension(:), pointer :: cpro_rom, cpro_visct double precision, dimension(:,:), pointer :: cvel !type(var_cal_opt) :: vcopt !=============================================================================== !=============================================================================== ! 1. Initialization !=============================================================================== ! Allocate a temporary array for cells selection allocate(lstelt(ncel)) allocate(lstelt_f(nfabor)) call field_get_val_s(icrom, cpro_rom) !cpro_rom : density field call field_get_val_s(ivisct, cpro_visct) !cpro_visct : turbulent viscosity field call field_get_val_v(ivarfl(iu), cvel) !cvel : velocity field ivar = isca(iscal) call field_get_label(ivarfl(ivar), chaine) iiscvr = iscavr(iscal) !call field_get_key_struct_var_cal_opt(ivarfl(ivar), vcopt) !if (vcopt%iwarni .ge. 1) then ! write(nfecra,1000) chaine(1:8) !endif !-------- ! Formats !-------- 1000 format(' User source terms for variable ',A8,/) if (iscal .eq. 1) then !################################ !concentration !################################ !(adjacent cells to pollutant source) : call getfbr('source_polluants',nlelt,lstelt) ! write(*,*) "nlelt = ", nlelt do ielt = 1, nlelt ifac = lstelt(ielt) ii = ifabor(ifac) !ii : cel ID ! target mass fraction : 0.001 ! friction velocity at the source: ca 0.5 m/s ! cell mean height at the source: 3.5 m crvexp(ielt) = 0.001d0 * cell_f_vol(ii) * cpro_rom(ii) * 0.5d0/3.5d0 ! !crvexp(ielt) = cell_f_vol(ii) * cpro_rom(ii) * sqrt(cvel(ii,1)**2 + cvel(ii,2)**2 + cvel(ii,3)**2)/3.5d0 end do !################################ !mean residence time : (cf Li et al, 2010) !################################ ! do ielt = 1, ncel ! ! crvexp(ielt) = cell_f_vol(ielt) * cpro_rom(ielt) ! crvimp(ielt) = 0.0d0 ! ! end do write(nfecra,*) "cell_f_vol(ncel) = ", cell_f_vol(ncel) write(nfecra,*) "variable name : ", chaine end if !---- ! End !---- ! Deallocate the temporary array deallocate(lstelt) return end subroutine ustssc !=============================================================================== !=============================================================================== !> \brief Additional right-hand side source terms for vectorial equations !> (user vectors and specific physics vectors). !> !> \deprecated Use \ref cs_user_source_terms instead. !> !> Usage !> ----- !> The routine is called for each vector, user or specific physisc. It is !> therefore necessary to test the value of the vector number iscal to separate !> the treatments of the different vectors (if (iscal.eq.p) then ....). !> !> The additional source term is decomposed into an explicit part (crvexp) and !> an implicit part (crvimp) that must be provided here. !> The resulting equation solved by the code for a vector f is: !> !> \f[ \rho*volume*\frac{d\vect{f}}{dt} + .... = \tens{crvimp}*\vect{f} + !> \vect{crvexp} \f] !> !> !> Note that crvexp and crvimp are defined after the Finite Volume integration !> over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in kg.[scal]/s, where [scal] is vector unit !> - crvimp is expressed in kg/s !> !> !> The crvexp and crvimp arrays are already initialized to 0 before entering the !> the routine. It is not needed to do it in the routine (waste of CPU time). !> !> For stability reasons, Code_Saturne will not add -crvimp directly to the !> diagonal of the matrix, but Max(-crvimp,0). This way, the crvimp term is !> treated implicitely only if it strengthens the diagonal of the matrix. !> However, when using the second-order in time scheme, this limitation cannot !> be done anymore and -crvimp is added directly. The user should therefore test !> the negativity of crvimp by himself. !> !> When using the second-order in time scheme, one should supply: !> - crvexp at time n !> - crvimp at time n+1/2 !> !> !> The selection of cells where to apply the source terms is based on a getcel !> command. For more info on the syntax of the getcel command, refer to the !> user manual or to the comments on the similar command \ref getfbr in the routine !> \ref cs_user_boundary_conditions. !> WARNING: If scalar is the temperature, the resulting equation !> solved by the code is: !> !> rho*Cp*volume*dT/dt + .... = crvimp*T + crvexp !> !> !> Note that crvexp and crvimp are defined after the Finite Volume integration !> over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in W !> - crvimp is expressed in W/K !> !> !> STEEP SOURCE TERMS !>=================== !> In case of a complex, non-linear source term, say F(f), for scalar f, the !> easiest method is to implement the source term explicitely. !> !> df/dt = .... + F(f(n)) !> where f(n) is the value of f at time tn, the beginning of the time step. !> !> This yields : !> crvexp = volume*F(f(n)) !> crvimp = 0 !> !> However, if the source term is potentially steep, this fully explicit !> method will probably generate instabilities. It is therefore wiser to !> partially implicit the term by writing: !> !> df/dt = .... + dF/df*f(n+1) - dF/df*f(n) + F(f(n)) !> !> This yields: !> crvexp = volume*( F(f(n)) - dF/df*f(n) ) !> crvimp = volume*dF/df !------------------------------------------------------------------------------- !------------------------------------------------------------------------------- ! Arguments !______________________________________________________________________________. ! mode name role !______________________________________________________________________________! !> \param[in] nvar total number of variables !> \param[in] nscal total number of scalars !> \param[in] ncepdp number of cells with head loss terms !> \param[in] ncesmp number of cells with mass source terms !> \param[in] iscal index number of the current scalar !> \param[in] icepdc index number of cells with head loss terms !> \param[in] icetsm index number of cells with mass source terms !> \param[in] itypsm type of mass source term for each variable !> \param[in] (see \ref cs_user_mass_source_terms) !> \param[in] dt time step (per cell) !> \param[in] ckupdc head loss coefficient !> \param[in] smacel value associated to each variable in the mass !> \param[in] source terms or mass rate !> (see \ref cs_user_mass_source_terms) !> \param[out] crvexp explicit part of the source term !> \param[out] crvimp implicit part of the source term !______________________________________________________________________________! subroutine ustsvv & ( nvar , nscal , ncepdp , ncesmp , & iscal , & icepdc , icetsm , itypsm , & dt , & ckupdc , smacel , & crvexp , crvimp ) !=============================================================================== ! Module files !=============================================================================== use paramx use numvar use entsor use optcal use cstphy use parall use period use mesh use field !=============================================================================== implicit none ! Arguments integer nvar , nscal integer ncepdp , ncesmp integer iscal integer icepdc(ncepdp) integer icetsm(ncesmp), itypsm(ncesmp,nvar) double precision dt(ncelet) double precision ckupdc(6,ncepdp), smacel(ncesmp,nvar) double precision crvexp(3,ncelet), crvimp(3,3,ncelet) ! Local variables integer, allocatable, dimension(:) :: lstelt !=============================================================================== !=============================================================================== ! 1. Initialization !=============================================================================== ! Allocate a temporary array for cells selection allocate(lstelt(ncel)) !-------- ! Formats !-------- 1000 format(' User source terms for variable ',A8,/) !---- ! End !---- ! Deallocate the temporary array deallocate(lstelt) return end subroutine ustsvv !=============================================================================== !=============================================================================== !> \brief Additional right-hand side source terms for turbulence models !> !> \deprecated Use \ref cs_user_source_terms instead. !> !> \section cs_user_turbulence_source_terms_use Usage !> !> The additional source term is decomposed into an explicit part (crvexp) and !> an implicit part (crvimp) that must be provided here. !> The resulting equations solved by the code are: !> \f[ !> \rho \norm{\vol{\celli}} \DP{\varia} + .... !> = \tens{crvimp} \varia + \vect{crvexp} !> \f] !> where \f$ \varia \f$ is the turbulence field of index \c f_id !> !> Note that crvexp, crvimp are defined after the Finite Volume !> integration over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in kg.m2/s2 !> - crvimp is expressed in kg/s !> !> The crvexp, crvimp arrays are already initialized to 0 before !> entering the routine. It is not needed to do it in the routine (waste of CPU time). !> !> For stability reasons, Code_Saturne will not add -crvimp directly to the !> diagonal of the matrix, but Max(-crvimp,0). This way, the crvimp term is !> treated implicitely only if it strengthens the diagonal of the matrix. !> However, when using the second-order in time scheme, this limitation cannot !> be done anymore and -crvimp is added directly. The user should therefore test !> the negativity of crvimp by himself. !> !> When using the second-order in time scheme, one should supply: !> - crvexp at time n !> - crvimp at time n+1/2 !> !> The selection of cells where to apply the source terms is based on a getcel !> command. For more info on the syntax of the \ref getcel command, refer to the !> user manual or to the comments on the similar command \ref getfbr in the routine !> \ref cs_user_boundary_conditions. ! !------------------------------------------------------------------------------- !------------------------------------------------------------------------------- ! Arguments !______________________________________________________________________________. ! mode name role ! !______________________________________________________________________________! !> \param[in] nvar total number of variables !> \param[in] nscal total number of scalars !> \param[in] ncepdp number of cells with head loss terms !> \param[in] ncesmp number of cells with mass source terms !> \param[in] f_id field index of the current turbulent variable !> \param[in] icepdc index number of cells with head loss terms !> \param[in] icetsm index number of cells with mass source terms !> \param[in] itypsm type of mass source term for each variable !> (see \ref cs_user_mass_source_terms) !> \param[in] ckupdc head loss coefficient !> \param[in] smacel value associated to each variable in the mass !> source terms or mass rate (see !> \ref cs_user_mass_source_terms) !> \param[out] crvexp explicit part of the source term !> \param[out] crvimp implicit part of the source term !_______________________________________________________________________________ subroutine cs_user_turbulence_source_terms & ( nvar , nscal , ncepdp , ncesmp , & f_id , & icepdc , icetsm , itypsm , & ckupdc , smacel , & crvexp , crvimp ) !=============================================================================== !=============================================================================== ! Module files !=============================================================================== use paramx use numvar use entsor use optcal use cstphy use parall use period use mesh use field use cs_f_interfaces use cs_c_bindings !=============================================================================== implicit none ! Arguments integer nvar , nscal integer ncepdp , ncesmp integer f_id integer icepdc(ncepdp) integer icetsm(ncesmp), itypsm(ncesmp,nvar) double precision dt(ncelet) double precision ckupdc(6,ncepdp), smacel(ncesmp,nvar) double precision crvexp(ncelet), crvimp(ncelet) ! Local variables integer, allocatable, dimension(:) :: lstelt !=============================================================================== !=============================================================================== ! 1. Initialization !=============================================================================== ! Allocate a temporary array for cells selection allocate(lstelt(ncel)) !-------- ! Formats !-------- 1000 format(' User source terms for turbulence model',/) !---- ! End !---- ! Deallocate the temporary array deallocate(lstelt) return end subroutine cs_user_turbulence_source_terms !=============================================================================== !=============================================================================== !> \brief Additional right-hand side source terms for turbulence models and !>irijco =1 !> !> \deprecated Use \ref cs_user_source_terms instead. !> !> \section cs_user_rij_source_terms_use Usage !> !> The additional source term is decomposed into an explicit part (crvexp) and !> an implicit part (crvimp) that must be provided here. !> The resulting equations solved by the code are: !> \f[ !> \rho \norm{\vol{\celli}} \DP{\varia} + .... !> = \tens{crvimp} \varia + \vect{crvexp} !> \f] !> where \f$ \varia \f$ is the turbulence field of index \c f_id !> !> Note that crvexp, crvimp are defined after the Finite Volume !> integration over the cells, so they include the "volume" term. More precisely: !> - crvexp is expressed in kg.m2/s2 !> - crvimp is expressed in kg/s !> !> The crvexp, crvimp arrays are already initialized to 0 before !> entering the routine. It is not needed to do it in the routine (waste of CPU time). !> !> For stability reasons, Code_Saturne will not add -crvimp directly to the !> diagonal of the matrix, but Max(-crvimp,0). This way, the crvimp term is !> treated implicitely only if it strengthens the diagonal of the matrix. !> However, when using the second-order in time scheme, this limitation cannot !> be done anymore and -crvimp is added directly. The user should therefore test !> the negativity of crvimp by himself. !> !> When using the second-order in time scheme, one should supply: !> - crvexp at time n !> - crvimp at time n+1/2 !> !> The selection of cells where to apply the source terms is based on a getcel !> command. For more info on the syntax of the \ref getcel command, refer to the !> user manual or to the comments on the similar command \ref getfbr in the routine !> \ref cs_user_boundary_conditions. ! !------------------------------------------------------------------------------- !------------------------------------------------------------------------------- ! Arguments !______________________________________________________________________________. ! mode name role ! !______________________________________________________________________________! !> \param[in] nvar total number of variables !> \param[in] nscal total number of scalars !> \param[in] ncepdp number of cells with head loss terms !> \param[in] ncesmp number of cells with mass source terms !> \param[in] f_id field index of the current turbulent variable !> \param[in] icepdc index number of cells with head loss terms !> \param[in] icetsm index number of cells with mass source terms !> \param[in] itypsm type of mass source term for each variable !> (see \ref cs_user_mass_source_terms) !> \param[in] ckupdc head loss coefficient !> \param[in] smacel value associated to each variable in the mass !> source terms or mass rate (see !> \ref cs_user_mass_source_terms) !> \param[out] crvexp explicit part of the source term !> \param[out] crvimp implicit part of the source term !_______________________________________________________________________________ subroutine cs_user_turbulence_source_terms2 & ( nvar , nscal , ncepdp , ncesmp , & f_id , & icepdc , icetsm , itypsm , & ckupdc , smacel , & crvexp , crvimp ) !=============================================================================== !=============================================================================== ! Module files !=============================================================================== use paramx use numvar use entsor use optcal use cstphy use parall use period use mesh use field use cs_f_interfaces use cs_c_bindings !=============================================================================== implicit none ! Arguments integer nvar , nscal integer ncepdp , ncesmp integer f_id integer icepdc(ncepdp) integer icetsm(ncesmp), itypsm(ncesmp,nvar) double precision dt(ncelet) double precision ckupdc(6,ncepdp), smacel(ncesmp,nvar) double precision crvexp(6,ncelet), crvimp(6,6,ncelet) ! Local variables integer, allocatable, dimension(:) :: lstelt !=============================================================================== !=============================================================================== ! 1. Initialization !=============================================================================== ! Allocate a temporary array for cells selection allocate(lstelt(ncel)) !-------- ! Formats !-------- 1000 format(' User source terms for turbulence model',/) !---- ! End !---- ! Deallocate the temporary array deallocate(lstelt) return end subroutine cs_user_turbulence_source_terms2