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time_p.f90
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time_p.f90
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MODULE ADVANCE
USE LIBRARY
USE TRANSFORM
USE FLUXES
USE SOURCE
USE INITIALISATION
USE BOUNDARY
USE RECON
USE LOCAL
USE FLOW_OPERATIONS
USE COMMUNICATIONS
USE implicit_time
USE implicit_FLUXES
USE DECLARATION
USE IO
USE MOODR
IMPLICIT NONE
CONTAINS
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------------------------------!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!SUBROUTINE CALLED TO CALCULATE CFL NUMBER DEPENDING ON THE SCHEME!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!EMPLOYED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
SUBROUTINE CALCULATE_CFL(N)
!> @brief
!> subroutine for computing the global time step size in 3D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,K,L,KMAXE,J,INGTMAX,INGTMIN,WHGU,WHGL
REAL::SUVI,SUV3,maxU,MINU
REAL::CCFL,VELN,AGRT
KMAXE=XMPIELRANK(N)
CCFL=(CFL/3.0d0)
DT=tolbig
IF (ITESTCASE.LT.3)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
VELN=MAX(ABS(LAMx),ABS(LAMy),ABS(LAMz))
if (dg.eq.1)then
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1)))
else
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN))))
end if
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.3)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM(N)
IF (multispecies.eq.1)THEN
AGRT=SQRT((LEFTV(5)+MP_PINFL)*GAMMAl/LEFTV(1))
ELSE
AGRT=SQRT(LEFTV(5)*GAMMA/LEFTV(1))
END IF
IF (RFRAME.eq.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
END IF
IF (SRFG.EQ.1) THEN
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POY(1:3)=SRF_VELOCITY
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
IF(MRF.EQ.1)THEN
SRF=ILOCAL_RECON3(I)%MRF
IF (SRF.EQ.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
ELSE
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POX=POX-ILOCAL_RECON3(I)%MRF_ORIGIN
POY(1:3)=ILOCAL_RECON3(I)%MRF_VELOCITY
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
END IF
if (dg.eq.1)then
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1)))
else
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN))))
END IF
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.4)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM(N)
RIGHTV(1:NOF_vARIABLES)=LEFTV(1:NOF_vARIABLES)
CALL SUTHERLAND(N,LEFTV,RIGHTV)
AGRT=SQRT(LEFTV(5)*GAMMA/LEFTV(1))
IF (RFRAME.EQ.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
END IF
IF(SRFG.EQ.1)THEN
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POY(1:3)=SRF_VELOCITY
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
IF(MRF.EQ.1)THEN
SRF=ILOCAL_RECON3(I)%MRF
IF (SRF.EQ.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
ELSE
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POX(1:3)=POX(1:3)-ILOCAL_RECON3(I)%MRF_ORIGIN(1:3)
POY(1:3)=ILOCAL_RECON3(I)%MRF_VELOCITY(1:3)
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
END IF
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=U_CT(I)%VAL(1,1); TURBMV(2)=U_CT(I)%VAL(1,1);
eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
LAML(1)=LAML(1)+LAML(3)
VISCL(1)=VISCL(1)+VISCL(3)
END IF
END IF
if (dg.eq.1)then
DT=MIN(DT,(CCFL/(2*IORDER+1))*(IELEM(N,I)%MINEDGE/((ABS(VELN))+(2.0D0*MAX(((4.0/3.0)*VISCL(1)/LEFTV(1)),GAMMA*LAML(1)/(PRANDTL*LEFTV(1)))*((2*IORDER+1)/IELEM(N,I)%MINEDGE)))))
else
IELEM(N,I)%VISCX=VISCL(1)/VISC
DT=MIN(DT,CCFL*(1.0D0/((ABS(VELN)/((IELEM(N,I)%MINEDGE))) + (0.5D0*(LAML(1)+VISCL(1))/((IELEM(N,I)%MINEDGE))**2))))
! DT=MIN(DT,(CCFL)*(IELEM(N,I)%MINEDGE/((ABS(VELN))+(2.0D0*MAX(((4.0/3.0)*VISCL(1)/LEFTV(1)),GAMMA*LAML(1)/(PRANDTL*LEFTV(1)))*(1.0D0/IELEM(N,I)%MINEDGE)))))
end if
END DO
!$OMP END DO
END IF
RETURN
END SUBROUTINE CALCULATE_CFL
SUBROUTINE CALCULATE_CFLL(N)
!> @brief
!> subroutine for computing the time step size for each cell in 3D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,K,L,KMAXE,J,INGTMAX,INGTMIN,WHGU,WHGL
REAL::SUVI,SUV3,maxU,MINU
REAL::CCFL,VELN,AGRT
KMAXE=XMPIELRANK(N)
CCFL=(CFL/3.0d0)
IF (ITESTCASE.LT.3)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
VELN=MAX(ABS(LAMx),ABS(LAMy),ABS(LAMz))
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.3)THEN
!$OMP DO
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM(N)
AGRT=SQRT(LEFTV(5)*GAMMA/LEFTV(1))
IF (SRFG.EQ.0.AND.MRF.EQ.0) THEN
END IF
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
IF(SRFG.EQ.1)THEN
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
END IF
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
SRF_SPEED=ZERO
POY(1:3)=SRF_VELOCITY
SRF=ILOCAL_RECON3(I)%MRF
IF(MRF.EQ.1)THEN
IF (SRF.EQ.0) THEN
ELSE
END IF
END IF
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
SRF_SPEED=ZERO
POY(1:3)=ILOCAL_RECON3(I)%MRF_VELOCITY
POX(1:3)=POX(1:3)-ILOCAL_RECON3(I)%MRF_ORIGIN(1:3)
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
if (dg.eq.1)then
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1))
else
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))
end if
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.4)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM(N)
RIGHTV(1:NOF_vARIABLES)=LEFTV(1:NOF_vARIABLES)
CALL SUTHERLAND(N,LEFTV,RIGHTV)
AGRT=SQRT(LEFTV(5)*GAMMA/LEFTV(1))
IF (SRFG.EQ.0.AND.MRF.EQ.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
END IF
IF(SRFG.EQ.1)THEN
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POY(1:3)=SRF_VELOCITY
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
IF(MRF.EQ.1)THEN
SRF=ILOCAL_RECON3(I)%MRF
IF (SRF.EQ.0) THEN
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)),ABS(LEFTV(4)))+AGRT
ELSE
POX(1)=IELEM(N,I)%XXC;POX(2)=IELEM(N,I)%YYC;POX(3)=IELEM(N,I)%ZZC
POX(1:3)=POX(1:3)-ILOCAL_RECON3(I)%MRF_ORIGIN(1:3)
POY(1:3)=ILOCAL_RECON3(I)%MRF_VELOCITY
SRF_SPEED=ZERO
SRF_SPEED(2:4)=VECT_FUNCTION(POX,POY)
VELN=MAX(ABS(LEFTV(2)-SRF_SPEED(2)),ABS(LEFTV(3)-SRF_SPEED(3)),ABS(LEFTV(4)-SRF_SPEED(4)))+AGRT
END IF
END IF
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=U_CT(I)%VAL(1,1); TURBMV(2)=U_CT(I)%VAL(1,1);
eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
LAML(1)=LAML(1)+LAML(3)
VISCL(1)=VISCL(1)+VISCL(3)
END IF
END IF
if (dg.eq.1)then
IELEM(N,I)%DTL=(CCFL/(2*IORDER+1))*(IELEM(N,I)%MINEDGE/((ABS(VELN))+(2.0D0*MAX(((4.0/3.0)*VISCL(1)/LEFTV(1)),GAMMA*LAML(1)/(PRANDTL*LEFTV(1)))*((2*IORDER+1)/IELEM(N,I)%MINEDGE))))
else
IELEM(N,I)%DTL=CCFL*(1.0D0/((ABS(VELN)/((IELEM(N,I)%MINEDGE))) + (0.5D0*(LAML(1)+VISCL(1))/((IELEM(N,I)%MINEDGE))**2)))
end if
END DO
!$OMP END DO
END IF
RETURN
END SUBROUTINE CALCULATE_CFLL
SUBROUTINE CALCULATE_CFL2D(N)
!> @brief
!> subroutine for computing the global time step size in 2D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,K,L,KMAXE,J,INGTMAX,INGTMIN,WHGU,WHGL
REAL::SUVI,SUV3,maxU,MINU,sum_DT1,sum_dt2
REAL::CCFL,VELN,AGRT,lamxl,lamyl
KMAXE=XMPIELRANK(N)
CCFL=(CFL/2.0d0)
DT=tolbig
!$OMP BARRIER
IF (ITESTCASE.LT.3)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
IF (initcond.eq.3)THEN
lamxl=-ielem(n,i)%yyc+0.5d0
lamyl=ielem(n,i)%xxc-0.5
Else
lamxl=lamx
lamyl=lamy
end if
VELN=MAX(ABS(LAMxl),ABS(LAMyl))
if (dg.eq.1)then
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1)))
else
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN))))
end if
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.3)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM2D(N)
IF (multispecies.eq.1)THEN
AGRT=SQRT((LEFTV(4)+MP_PINFL)*GAMMAl/LEFTV(1))
ELSE
AGRT=SQRT(LEFTV(4)*GAMMA/LEFTV(1))
END IF
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)))+AGRT
if (dg.eq.1)then
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1)))
else
DT=MIN(DT,CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN))))
end if
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.4)THEN
!$OMP DO REDUCTION (MIN:DT)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM2d2(N)
RIGHTV(1:NOF_vARIABLES)=LEFTV(1:NOF_vARIABLES)
CALL SUTHERLAND2D(N,LEFTV,RIGHTV)
AGRT=SQRT(LEFTV(4)*GAMMA/LEFTV(1))
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)))+AGRT
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=U_CT(I)%VAL(1,1); TURBMV(2)=U_CT(I)%VAL(1,1);
eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
CALL EDDYVISCO2D(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
LAML(1)=LAML(1)+LAML(3)
VISCL(1)=VISCL(1)+VISCL(3)
END IF
END IF
if (dg.eq.1)then
DT=MIN(DT,(CCFL/(2*IORDER+1))*(IELEM(N,I)%MINEDGE/((ABS(VELN))+(2.0D0*MAX(((4.0/3.0)*VISCL(1)/LEFTV(1)),GAMMA*LAML(1)/(PRANDTL*LEFTV(1)))*((2*IORDER+1)/IELEM(N,I)%MINEDGE)))))
else
DT=MIN(DT,CCFL*(1.0D0/((ABS(VELN)/((IELEM(N,I)%MINEDGE))) + (0.5D0*(LAML(1)+VISCL(1))/((IELEM(N,I)%MINEDGE))**2))))
END IF
END DO
!$OMP END DO
END IF
RETURN
END SUBROUTINE CALCULATE_CFL2D
SUBROUTINE CALCULATE_CFLL2D(N)
!> @brief
!> subroutine for computing the time step size for each cell in 2D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,K,L,KMAXE,J,INGTMAX,INGTMIN,WHGU,WHGL
REAL::SUVI,SUV3,maxU,MINU
REAL::CCFL,VELN,AGRT
KMAXE=XMPIELRANK(N)
CCFL=(CFL/2.0d0)
IF (ITESTCASE.LT.3)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
VELN=MAX(ABS(LAMx),ABS(LAMy))
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.3)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM2D(N)
AGRT=SQRT(LEFTV(4)*GAMMA/LEFTV(1))
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)))+AGRT
if (dg.eq.1)then
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))*(1.0D0/(2*IORDER+1))
else
IELEM(N,I)%DTL=CCFL*((IELEM(N,I)%MINEDGE)/(ABS(VELN)))
end if
END DO
!$OMP END DO
END IF
IF (ITESTCASE.EQ.4)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
LEFTV(1:NOF_vARIABLES)=U_C(I)%VAL(1,1:NOF_vARIABLES)
CALL CONS2PRIM2d2(N)
RIGHTV(1:NOF_vARIABLES)=LEFTV(1:NOF_vARIABLES)
CALL SUTHERLAND2D(N,LEFTV,RIGHTV)
AGRT=SQRT(LEFTV(4)*GAMMA/LEFTV(1))
VELN=MAX(ABS(LEFTV(2)),ABS(LEFTV(3)))+AGRT
IF (TURBULENCE.EQ.1)THEN
IF (TURBULENCEMODEL.EQ.1)THEN
TURBMV(1)=U_CT(I)%VAL(1,1); TURBMV(2)=U_CT(I)%VAL(1,1);
eddyfl(2)=turbmv(1); eddyfr(2)=turbmv(2)
CALL EDDYVISCO2D(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
LAML(1)=LAML(1)+LAML(3)
VISCL(1)=VISCL(1)+VISCL(3)
END IF
END IF
if (dg.eq.1)then
IELEM(N,I)%DTL=(CCFL/(2*IORDER+1))*(IELEM(N,I)%MINEDGE/((ABS(VELN))+(2.0D0*MAX(((4.0/3.0)*VISCL(1)/LEFTV(1)),GAMMA*LAML(1)/(PRANDTL*LEFTV(1)))*((2*IORDER+1)/IELEM(N,I)%MINEDGE))))
else
IELEM(N,I)%DTL=CCFL*(1.0D0/((ABS(VELN)/((IELEM(N,I)%MINEDGE))) + (0.5D0*(LAML(1)+VISCL(1))/((IELEM(N,I)%MINEDGE))**2)))
end if
END DO
!$OMP END DO
END IF
RETURN
END SUBROUTINE CALCULATE_CFLL2D
! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ! !---------------------------------------------------------------------------------------------!
! ! !---------------------------------------------------------------------------------------------!
! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ! !!!!!!!!!!!!!!!!!!SUBROUTINE CALLED TO ADVANCE SOLUTION BY ONE TIME STEP SIZE!!!!!!!!!!!!!!!!!!
! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
SUBROUTINE RUNGE_KUTTA3_MOOD(N)
!> @brief
!> SSP RUNGE KUTTA 3RD-ORDER SCHEME
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::IAVR,nvar,I,KMAXE,inds
REAL::AVRGS,OOVOLUME,TO4,OO4,TO3,OO3
KMAXE=XMPIELRANK(N)
TO4=3.0D0/4.0D0
OO4=1.0D0/4.0D0
TO3=2.0D0/3.0D0
OO3=1.0D0/3.0D0
IF (MOOD.EQ.1)THEN
INDS=4
ELSE
INDS=1
END IF
IF (FASTEST.EQ.1)THEN
CALL EXCHANGE_LOWER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
END SELECT
ELSE
CALL EXCHANGE_HIGHER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
END SELECT
END IF
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(2,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
IF (MOOD.EQ.1)THEN
U_C(I)%VAL(3,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
END IF
U_C(I)%VAL(INDS,1:NOF_VARIABLES)=U_C(I)%VAL(2,1:NOF_VARIABLES)-(DT*(RHS(I)%VAL(1:NOF_VARIABLES)*OOVOLUME))
END DO
!$OMP END DO
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar)-(DT*(RHSt(I)%VAL(1:turbulenceequations+passivescalar)*OOVOLUME))
END DO
!$OMP END DO
END IF
IF (MOOD.EQ.1)THEN
CALL MOOD_OPERATOR_2(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(INDS,1:NOF_VARIABLES)=U_C(I)%VAL(2,1:NOF_VARIABLES)-(DT*(RHS(I)%VAL(1:NOF_VARIABLES)*OOVOLUME))
IELEM(N,I)%MOOD_O=2
END IF
END DO
!$OMP END DO
CALL MOOD_OPERATOR_1(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(1,1:NOF_VARIABLES)=U_C(I)%VAL(2,1:NOF_VARIABLES)-(DT*(RHS(I)%VAL(1:NOF_VARIABLES)*OOVOLUME))
IELEM(N,I)%MOOD_O=1
ELSE
U_C(I)%VAL(1,1:NOF_VARIABLES)=U_C(I)%VAL(4,1:NOF_VARIABLES)
END IF
END DO
!$OMP END DO
END IF
IF (FASTEST.EQ.1)THEN
CALL EXCHANGE_LOWER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
END SELECT
ELSE
CALL EXCHANGE_HIGHER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
END SELECT
END IF
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(3,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
U_C(I)%VAL(inds,1:NOF_VARIABLES)=(TO4*U_C(I)%VAL(2,1:NOF_VARIABLES))+(OO4*U_C(I)%VAL(3,1:NOF_VARIABLES))-(((OO4))*((DT)*&
((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
END DO
!$OMP END DO
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(3,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=(TO4*U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar))+(OO4*U_Ct(I)%VAL(3,1:turbulenceequations+passivescalar))-(((OO4))*((DT)*&
((RHSt(I)%VAL(1:turbulenceequations+passivescalar))*(OOVOLUME))))
END DO
!$OMP END DO
END IF
IF (MOOD.EQ.1)THEN
CALL MOOD_OPERATOR_2(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(INDS,1:NOF_VARIABLES)=(TO4*U_C(I)%VAL(2,1:NOF_VARIABLES))+(OO4*U_C(I)%VAL(3,1:NOF_VARIABLES))-(((OO4))*((DT)*&
((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
IELEM(N,I)%MOOD_O=2
END IF
END DO
!$OMP END DO
CALL MOOD_OPERATOR_1(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(1,1:NOF_VARIABLES)=(TO4*U_C(I)%VAL(2,1:NOF_VARIABLES))+(OO4*U_C(I)%VAL(3,1:NOF_VARIABLES))-(((OO4))*((DT)*&
((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
IELEM(N,I)%MOOD_O=1
ELSE
U_C(I)%VAL(1,1:NOF_VARIABLES)=U_C(I)%VAL(4,1:NOF_VARIABLES)
END IF
END DO
!$OMP END DO
END IF
IF (FASTEST.EQ.1)THEN
CALL EXCHANGE_LOWER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
END SELECT
ELSE
CALL EXCHANGE_HIGHER(N)
CALL ARBITRARY_ORDER3(N)
CALL EXHBOUNDHIGHER(N)
SELECT CASE(ITESTCASE)
CASE(1,2)
CALL CALCULATE_FLUXESHI(N)
CASE(3)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CASE(4)
CALL CALCULATE_FLUXESHI_CONVECTIVE(N)
CALL CALCULATE_FLUXESHI_DIFFUSIVE(N)
IF (turbulence.eq.1)THEN
CALL SOURCES_COMPUTATION(N)
END IF
CALL VORTEXCALC(N)
END SELECT
END IF
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
IF (MOOD.EQ.1)THEN
U_C(I)%VAL(3,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
END IF
U_C(I)%VAL(INDS,1:NOF_VARIABLES)=((OO3)*U_C(I)%VAL(2,1:NOF_VARIABLES))+((TO3)*U_C(I)%VAL(1,1:NOF_VARIABLES))-(((TO3))*&
((DT)*((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
END DO
!$OMP END DO
IF (MOOD.EQ.1)THEN
CALL MOOD_OPERATOR_2(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(INDS,1:NOF_VARIABLES)=((OO3)*U_C(I)%VAL(2,1:NOF_VARIABLES))+((TO3)*U_C(I)%VAL(1,1:NOF_VARIABLES))-(((TO3))*&
((DT)*((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
IELEM(N,I)%MOOD_O=2
END IF
END DO
!$OMP END DO
CALL MOOD_OPERATOR_1(N)
!$OMP DO
DO I=1,KMAXE
IF (IELEM(N,I)%RECALC.EQ.1)THEN
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(1,1:NOF_VARIABLES)=((OO3)*U_C(I)%VAL(2,1:NOF_VARIABLES))+((TO3)*U_C(I)%VAL(1,1:NOF_VARIABLES))-(((TO3))*&
((DT)*((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
IELEM(N,I)%MOOD_O=1
ELSE
U_C(I)%VAL(1,1:NOF_VARIABLES)=U_C(I)%VAL(4,1:NOF_VARIABLES)
END IF
END DO
!$OMP END DO
END IF
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=((OO3)*U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar))+((TO3)*U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar))-(((TO3))*&
((DT)*((RHSt(I)%VAL(1:turbulenceequations+passivescalar))*(OOVOLUME))))
END DO
!$OMP END DO
END IF
IF (AVERAGING.EQ.1)THEN
CALL AVERAGING_T(N)
END IF
END SUBROUTINE RUNGE_KUTTA3_MOOD
SUBROUTINE RUNGE_KUTTA3(N)
!> @brief
!> SSP RUNGE KUTTA 3RD-ORDER SCHEME
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
REAL::AVRGS,OOVOLUME,TO4,OO4,TO3,OO3
KMAXE=XMPIELRANK(N)
TO4=3.0D0/4.0D0
OO4=1.0D0/4.0D0
TO3=2.0D0/3.0D0
OO3=1.0D0/3.0D0
CALL CALL_FLUX_SUBROUTINES_3D
!$OMP DO
DO I=1,KMAXE
IF (DG == 1) THEN
U_C(I)%VALDG(2,1:NOF_VARIABLES,:)=U_C(I)%VALDG(1,1:NOF_VARIABLES,:)
! U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=U_C(I)%VALDG(2,1:NOF_VARIABLES,:) - DT * TRANSPOSE(MATMUL(m_1(i)%val(:,:), RHS(I)%VALDG(:,1:NOF_VARIABLES)))
CALL DGEMM('N','N',NUM_DG_DOFS,nof_variables,NUM_DG_DOFS,ALPHA,m_1(i)%val(1:NUM_DG_DOFS,1:NUM_DG_DOFS),NUM_DG_DOFS,&
RHS(I)%VALDG(1:NUM_DG_DOFS,1:NOF_VARIABLES),&
NUM_DG_DOFS,BETA,RHS(I)%SOL_MM_DG,NUM_DG_DOFS)
U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=U_C(I)%VALDG(2,1:NOF_VARIABLES,:) - DT * TRANSPOSE(RHS(I)%SOL_MM_DG)
ELSE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(2,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
U_C(I)%VAL(1,1:NOF_VARIABLES)=U_C(I)%VAL(2,1:NOF_VARIABLES)-(DT*(RHS(I)%VAL(1:NOF_VARIABLES)*OOVOLUME))
END IF
END DO
!$OMP END DO
! IF ((DG.EQ.1).AND.(FILTERING.EQ.1))THEN
! CALL SOL_INTEG_DGx(N)
! CALL APPLY_FILTER_DG(N)
!END IF
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar)-(DT*(RHSt(I)%VAL(1:turbulenceequations+passivescalar)*OOVOLUME))
END DO
!$OMP END DO
END IF
CALL CALL_FLUX_SUBROUTINES_3D
!$OMP DO
DO I=1,KMAXE
IF (DG == 1) THEN
U_C(I)%VALDG(3,1:NOF_VARIABLES,:)=U_C(I)%VALDG(1,1:NOF_VARIABLES,:)
! U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=TO4*U_C(I)%VALDG(2,1:NOF_VARIABLES,:) + OO4*U_C(I)%VALDG(3,1:NOF_VARIABLES,:) - OO4*DT* TRANSPOSE(MATMUL(m_1(i)%val(:,:), RHS(I)%VALDG(:,1:NOF_VARIABLES)))
CALL DGEMM('N','N',NUM_DG_DOFS,nof_variables,NUM_DG_DOFS,ALPHA,m_1(i)%val(1:NUM_DG_DOFS,1:NUM_DG_DOFS),NUM_DG_DOFS,&
RHS(I)%VALDG(1:NUM_DG_DOFS,1:NOF_VARIABLES),&
NUM_DG_DOFS,BETA,RHS(I)%SOL_MM_DG,NUM_DG_DOFS)
U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=TO4*U_C(I)%VALDG(2,1:NOF_VARIABLES,:) + OO4*U_C(I)%VALDG(3,1:NOF_VARIABLES,:) - OO4*DT * TRANSPOSE(RHS(I)%SOL_MM_DG)
ELSE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(3,1:NOF_VARIABLES)=U_C(I)%VAL(1,1:NOF_VARIABLES)
U_C(I)%VAL(1,1:NOF_VARIABLES)=(TO4*U_C(I)%VAL(2,1:NOF_VARIABLES))+(OO4*U_C(I)%VAL(3,1:NOF_VARIABLES))-(((OO4))*((DT)*&
((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
END IF
END DO
!$OMP END DO
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(3,1:turbulenceequations+passivescalar)=U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=(TO4*U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar))+(OO4*U_Ct(I)%VAL(3,1:turbulenceequations+passivescalar))-(((OO4))*((DT)*&
((RHSt(I)%VAL(1:turbulenceequations+passivescalar))*(OOVOLUME))))
END DO
!$OMP END DO
END IF
!IF ((DG.EQ.1).AND.(FILTERING.EQ.1))THEN
! CALL SOL_INTEG_DGx(N)
! CALL APPLY_FILTER_DG(N)
! END IF
CALL CALL_FLUX_SUBROUTINES_3D
!$OMP DO
DO I=1,KMAXE
IF (DG == 1) THEN
! U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=OO3*U_C(I)%VALDG(2,1:NOF_VARIABLES,:) + TO3*U_C(I)%VALDG(1,1:NOF_VARIABLES,:) - TO3*DT*TRANSPOSE(MATMUL(m_1(i)%val(:,:), RHS(I)%VALDG(:,1:NOF_VARIABLES)))
CALL DGEMM('N','N',NUM_DG_DOFS,nof_variables,NUM_DG_DOFS,ALPHA,m_1(i)%val(1:NUM_DG_DOFS,1:NUM_DG_DOFS),NUM_DG_DOFS,&
RHS(I)%VALDG(1:NUM_DG_DOFS,1:NOF_VARIABLES),&
NUM_DG_DOFS,BETA,RHS(I)%SOL_MM_DG,NUM_DG_DOFS)
U_C(I)%VALDG(1,1:NOF_VARIABLES,:)=OO3*U_C(I)%VALDG(2,1:NOF_VARIABLES,:) + TO3*U_C(I)%VALDG(1,1:NOF_VARIABLES,:) - TO3*DT * TRANSPOSE(RHS(I)%SOL_MM_DG)
ELSE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_C(I)%VAL(1,1:NOF_VARIABLES)=((OO3)*U_C(I)%VAL(2,1:NOF_VARIABLES))+((TO3)*U_C(I)%VAL(1,1:NOF_VARIABLES))-(((TO3))*&
((DT)*((RHS(I)%VAL(1:NOF_VARIABLES))*(OOVOLUME))))
END IF
END DO
!$OMP END DO
IF ((turbulence.gt.0).or.(passivescalar.gt.0))THEN
!$OMP DO
DO I=1,KMAXE
OOVOLUME=1.0D0/IELEM(N,I)%TOTVOLUME
U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar)=((OO3)*U_Ct(I)%VAL(2,1:turbulenceequations+passivescalar))+((TO3)*U_Ct(I)%VAL(1,1:turbulenceequations+passivescalar))-(((TO3))*&
((DT)*((RHSt(I)%VAL(1:turbulenceequations+passivescalar))*(OOVOLUME))))
END DO
!$OMP END DO
END IF
!IF ((DG.EQ.1).AND.(FILTERING.EQ.1))THEN
! CALL SOL_INTEG_DGx(N)
! CALL APPLY_FILTER_DG(N)
! END IF
IF (AVERAGING.EQ.1)THEN
CALL AVERAGING_T(N)
END IF
END SUBROUTINE RUNGE_KUTTA3
SUBROUTINE RUNGE_KUTTA1(N)