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source.f90
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MODULE SOURCE
USE LIBRARY
USE TRANSFORM
USE LOCAL
USE RIEMANN
USE FLOW_OPERATIONS
USE DECLARATION
IMPLICIT NONE
contains
SUBROUTINE SOURCES_COMPUTATION(N)
!> @brief
!> Sources computation
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
KMAXE=XMPIELRANK(N)
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
ICONSIDERED=I
CALL SOURCES(N,ICONSIDERED)
RHST(I)%VAL(1:turbulenceequations)=RHST(I)%VAL(1:turbulenceequations)-(SOURCE_T(1:turbulenceequations)*ielem(n,I)%totvolume)
END DO
!$OMP END DO
END SUBROUTINE SOURCES_COMPUTATION
SUBROUTINE SOURCES_COMPUTATION_ROT(N)
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
REAL::OODENSITY
real,dimension(5)::source_t2
KMAXE=XMPIELRANK(N)
IF(SRFG.EQ.1)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
OODENSITY=1.0D0/U_C(I)%VAL(1,1)
SOURCE_T2(1)=ZERO
SOURCE_T2(2)=U_C(I)%VAL(1,2)*OODENSITY-UVEL
SOURCE_T2(3)=U_C(I)%VAL(1,3)*OODENSITY-VVEL
SOURCE_T2(4)=U_C(I)%VAL(1,4)*OODENSITY-WVEL
SOURCE_T2(5)=ZERO
POX(1:3)= SOURCE_T2(2:4)
POY(1:3)=SRF_VELOCITY(1:3)
SOURCE_T2(2:4)=U_C(I)%VAL(1,1)*VECT_FUNCTION(POX,POY)
RHS(I)%VAL(1:NOF_VARIABLES)=RHS(I)%VAL(1:NOF_VARIABLES)+(SOURCE_T2(1:NOF_VARIABLES)*ielem(n,I)%totvolume)
END DO
!$OMP END DO
END IF
IF(MRF.EQ.1)THEN
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
SRF=ILOCAL_RECON3(I)%MRF
IF(SRF.EQ.1)THEN
OODENSITY=1.0D0/U_C(I)%VAL(1,1)
SOURCE_T2(1)=ZERO
SOURCE_T2(2)=U_C(I)%VAL(1,2)*OODENSITY!-UVEL
SOURCE_T2(3)=U_C(I)%VAL(1,3)*OODENSITY!-VVEL
SOURCE_T2(4)=U_C(I)%VAL(1,4)*OODENSITY!-WVEL
SOURCE_T2(5)=ZERO
POX(1:3)= SOURCE_T2(2:4)
POY(1:3)=ILOCAL_RECON3(I)%MRF_VELOCITY(1:3)
SOURCE_T2(2:4)=U_C(I)%VAL(1,1)*VECT_FUNCTION(POX,POY)
RHS(I)%VAL(1:NOF_VARIABLES)=RHS(I)%VAL(1:NOF_VARIABLES)+(SOURCE_T2(1:NOF_VARIABLES)*ielem(n,I)%totvolume)
END IF
END DO
!$OMP END DO
END IF
END SUBROUTINE SOURCES_COMPUTATION_ROT
SUBROUTINE SOURCES_derivatives_COMPUTATION(N)
!> @brief
!> Sources derivative computation for implicit time stepping
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
KMAXE=XMPIELRANK(N)
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
ICONSIDERED=I
CALL SOURCES_derivatives(N,ICONSIDERED)
sht(I,1:turbulenceequations)=(SOURCE_T(1:turbulenceequations)*ielem(n,I)%totvolume)
END DO
!$OMP END DO
END SUBROUTINE SOURCES_derivatives_COMPUTATION
SUBROUTINE SOURCES(N,ICONSIDERED)
!> @brief
!> Sources computation procedure
implicit none
INTEGER,INTENT(IN)::N,ICONSIDERED
REAL::INTENERGY,R1,U1,V1,W1,ET1,S1,IE1,P1,SKIN1,E1,RS,US,VS,WS,KHX
REAL::VHX,AMP,DVEL,OMEGA,SQUARET,TCH_X,TCH_X3,TCH_FV1,TCH_FV2
REAL::TCH_RS,TCH_R,TCH_G,TCH_GLIM,TCH_FW,TCH_DIF,TCH_DEST,TCH_PROD
INTEGER::I,K,J,L,IHGT,IHGJ,IEX, LOWRE
REAL::SNORM,ONORM,DIVNORM,ax,ay,az,TCH_SHH,TCH_SAV,Verysmall,onesix,ProdTerm1,stild,rr
REAL::gg,FW,destterm,fodt,srcfull,DBPR,DBDI,DBDE,DBY,DBX,ProdTermfinal
REAL:: r_DES,f_DES, ddw,F_DES_SST,L_t_DES
Real :: ux,uy,vx,vy,shear,sratio,prodmod,cvor,stildmod,ProdTerm2,sfac,sss,usss,ssss,S_bar,KRON
real:: uz,vz,wx,wy,wz
REAL:: uxx,uyy,uzz,vxx,vyy,vzz,wxx,wyy,wzz !For SAS only
REAL,DIMENSION(3,3)::VORTET,TVORT,SVORT,OVORT
REAL,DIMENSION(3)::VORTEM,VERTF,vertex
real,dimension(TURBULENCEEQUATIONS,1:3)::DERIVTURB
!Declarations for k-omega
REAL:: srcfull_k, srcfull_om, Prod_k, Prod_om, Ydest_k, Ydest_om, Diff_om, Q_sas
REAL:: sigma_k, sigma_om, F_1, F_2,Phi_1,Phi_2, D_omplus !-------------- Those are for diffusion too!
REAL:: alpha_raw,alpha_star, Re_t_SST,alpha_inf
REAL:: beta_stari, beta_i, beta_raw, beta_star
REAL:: k_0, om_0, wally
REAL:: dervk_dervom, dervom2, dervk2, u_lapl !Generalization of the velocity Laplacian
REAL:: L_sas, L_vk, Delta_cell, Cell_volume, Q_sas1, Q_sas2
REAL:: kx,ky,kz,omx,omy,omz
I=ICONSIDERED
Verysmall = 10e-16
VORTET(1:3,1:3) = ILOCAL_RECON3(I)%GRADS(1:3,1:3)
ux = Vortet(1,1);uy = Vortet(1,2);uz = Vortet(1,3)
vx = Vortet(2,1);vy = Vortet(2,2);vz = Vortet(2,3)
wx = Vortet(3,1);wy = Vortet(3,2);wz = Vortet(3,3)
DO IHGT=1,3
DO IHGJ=1,3
TVORT(IHGT,IHGJ)=VORTET(IHGJ,IHGT)
END DO
END DO
sVORT=0.5*(VORTET+TVORT)
OVORT=0.5*(VORTET-TVORT)
SNORM=SQRT(2.0D0*((SVORT(1,1)*SVORT(1,1))+(SVORT(1,2)*SVORT(1,2))+(SVORT(1,3)*SVORT(1,3))+&
(SVORT(2,1)*SVORT(2,1))+(SVORT(2,2)*SVORT(2,2))+(SVORT(2,3)*SVORT(2,3))+&
(SVORT(3,1)*SVORT(3,1))+(SVORT(3,2)*SVORT(3,2))+(SVORT(3,3)*SVORT(3,3))))
!Quadratic mean of the strain tensor (defined as Svort). Also needed in SST
ONORM=SQRT(2.0D0*((OVORT(1,1)*OVORT(1,1))+(OVORT(1,2)*OVORT(1,2))+(OVORT(1,3)*OVORT(1,3))+&
(OVORT(2,1)*OVORT(2,1))+(OVORT(2,2)*OVORT(2,2))+(OVORT(2,3)*OVORT(2,3))+&
(OVORT(3,1)*OVORT(3,1))+(OVORT(3,2)*OVORT(3,2))+(OVORT(3,3)*OVORT(3,3))))
OMEGA=ONORM
DIVNORM=ux+uy+uz !Careful with the sign. If it becomes very big, it can produce negative production
usss=sqrt((2.0*((ux*ux)+(vy*vy)+(wz*wz)))&
+((uy+vx)*(uy+vx)+(uz+wx)*(uz+wx)+(wy+vz)*(wy+vz))&
-(2.0/3.0*(ux+vy+wz)*(ux+vy+wz)))
DERIVTURB(1,1:3) = ILOCAL_RECON3(I)%GRADS(5,1:3)
SQUARET=(sqrt((DERIVTURB(1,1)**2)+(DERIVTURB(1,2)**2)+(DERIVTURB(1,3)**2)))**2
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)
TURBMV(1)=U_CT(I)%VAL(1,1)
TURBMV(2)=TURBMV(1)
SELECT CASE(TURBULENCEMODEL)
CASE(1) !!SPALART ALMARAS MODEL
if (ROT_CORR.EQ.1) then
OMEGA = OMEGA + 2.0d0*min(0.0d0,SNORM-ONORM)
end if
if (ISPAL .eq.1) then
eddyfl(2)=turbmv(1)
eddyfr(2)=turbmv(2)
onesix = 1.0D0/6.0D0
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
cw1 = cb1 / (kappa*kappa)
cw1 = cw1 + (1.0 + cb2) /sigma
TCH_X= TURBMV(1) / VISCL(1)
if (TCH_X .lt. Verysmall) then
SOURCE_T(1) = ZERO
else
TCH_X3 = (TCH_X)*(TCH_X)*(TCH_X)
TCH_FV1 = TCH_X3/(TCH_X3+(CV1*CV1*CV1))
TCH_fv2 = 1.0D0 - (TCH_X/(1.0D0 + TCH_X*TCH_fv1))
ddw=IELEM(N,I)%WallDist
if (DES_model .eq. 1) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
ddw=min(ddw,C_DES_SA*Delta_cell)
end if
if (DES_model .eq. 2) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
r_DES=min(10.0, (viscl(1)+viscl(3))/(SNORM*(KAPPA*ddw)**2+1e-16))
!Previous limiter is just for numerical reasons regarding tanh
f_DES=1-tanh((8.0*r_DES)**3)
ddw=max(ddw-f_DES*max(ddw-C_DES_SA*Delta_cell,1e-16),10.0e-16)
end if
ProdTerm1 = (TURBMV(1))/(leftv(1)* KAPPA * KAPPA * ddw * ddw)
Stild = max ( OMEGA + (TCH_fv2*ProdTerm1), 0.3*OMEGA)
Prodtermfinal=Stild*turbmv(1)*cb1
RR=MIN((TURBMV(1)/(((LEFTV(1)*STILD*KAPPA * KAPPA * (ddw) * (ddw)))+0.000000001)),10.0)
gg = rr + ( CW2 * (rr**6 - rr) )
Fw = gg * (((1.0 + cw3**6) / (gg**6 + cw3**6))**onesix)
! Destruction term
destterm = cw1 * fw * ((( TURBMV(1) )/(leftv(1)*(ddw)))**2)
! ! ! First order diffusion term
fodt = cb2 * SQUARET/ SIGMA
if (D_CORR.EQ.0) then
SOURCE_T(1) = ProdTermfinal + fodt - destterm
else
SOURCE_T(1) = ProdTermfinal + (fodt - destterm)*leftv(1)
end if
END IF
eLSE
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
TCH_X= TURBMV(1) / VISCL(1)
if (tch_x.gt.10.0D0)then
tch_x=tch_x
ELSE
tch_x=0.05D0*log(1.0D0+exp(20.0D0*(tch_x)))
end if
ddw=IELEM(N,I)%WallDist
if (DES_model .eq. 1) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
ddw=min(ddw,C_DES_SA*Delta_cell)
end if
if (DES_model .eq. 2) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
r_DES=min(10.0D0, (viscl(1)+viscl(3))/(SNORM*(KAPPA*ddw)**2+1e-16))
!Previous limiter is just for numerical reasons regarding tanh
f_DES=1-tanh((8.0D0*r_DES)**3)
ddw=max(ddw-f_DES*max(ddw-C_DES_SA*Delta_cell,1e-16),10.0e-16)
end if
TCH_X3 = (TCH_X)*(TCH_X)*(TCH_X)
TCH_FV1 = TCH_X3/(TCH_X3+(CV1*CV1*CV1))
TCH_fv2 = 1.0D0 - (TCH_X/(1.0D0 + TCH_X*TCH_fv1))
ProdTerm1 = (TCH_fv2*tch_x*(TURBMV(1)))/( leftv(1)*KAPPA * KAPPA * (ddw) * (ddw))
IF (PRODTERM1.GE.(-0.7D0*OMEGA))THEN
Stild = OMEGA + ProdTerm1
END IF
IF (PRODTERM1.LT.(-0.7D0*OMEGA))THEN
Stild = OMEGA + ((OMEGA*(((0.7D0*0.7D0)*(OMEGA))+(0.9*PRODTERM1)))/(((0.9-1.4)*OMEGA)-PRODTERM1))
END IF
Prodtermfinal=Stild*turbmv(1)*cb1*tch_x
!
RR=((TURBMV(1)*TCH_X/(LEFTV(1)*Stild*KAPPA * KAPPA * (ddw) * (ddw))))
gg = rr + ( CW2 * (rr**6 - rr) )
Fw = gg * (((1.0 + cw3**6) / (gg**6 + cw3**6))**onesix)
! ! ! Destruction term
destterm = cw1 * fw *leftv(1)* (((turbmv(1)*tch_x/leftv(1))/(ddw))**2)
! ! ! First order diffusion term
fodt = LEFTV(1)*cb2 * SQUARET / SIGMA
SOURCE_T(1)= ProdTermfinal + fodt - destterm
END IF
CASE(2) !K OMEGA SST
EDDYFL(1)=IELEM(N,I)%WALLDIST
EDDYFL(2)=U_CT(I)%VAL(1,1)
EDDYFL(3)=U_CT(I)%VAL(1,2)
EDDYFL(4:6)=ILOCAL_RECON3(I)%GRADS(1,1:3)
EDDYFL(7:9)=ILOCAL_RECON3(I)%GRADS(2,1:3)
EDDYFL(10:12)=ILOCAL_RECON3(I)%GRADS(3,1:3)
EDDYFL(13:15)=ILOCAL_RECON3(I)%GRADS(4,1:3)
EDDYFL(16:18)=ILOCAL_RECON3(I)%GRADS(5,1:3)
eddyfr=eddyfl
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
k_0=(MAX(Verysmall,U_CT(I)%VAL(1,1)/LEFTV(1))) !First subindex makes reference to the time-stepping
om_0=MAX(1.0e-1*ufreestream/CharLength,U_CT(I)%VAL(1,2)/LEFTV(1))
wally=IELEM(N,I)%WallDist
!Calculate here k and omega gradients
OMX=ILOCAL_RECON3(I)%GRADS(6,1)
OMY=ILOCAL_RECON3(I)%GRADS(6,2)
OMZ=ILOCAL_RECON3(I)%GRADS(6,3)
KX=ILOCAL_RECON3(I)%GRADS(5,1)
KY=ILOCAL_RECON3(I)%GRADS(5,2)
KZ=ILOCAL_RECON3(I)%GRADS(5,3)
dervk_dervom= kx*omx+ky*omy+kz*omz
!Parameters
!-----NEEDED IN DIFFUSION--------
D_omplus=max(2*LEFTV(1)/sigma_om2/om_0*dervk_dervom, 1e-10)
phi_2=max(sqrt(k_0)/(0.09*om_0*wally),500.0*VISCL(1)/(LEFTV(1)*wally*wally*om_0))
phi_1=min(phi_2, 4.0*LEFTV(1)*k_0/(sigma_om2*D_omplus*wally*wally))
F_1=tanh(phi_1**4)
F_2=tanh(phi_2**2)
!--------------------------------
alpha_inf=F_1*alpha_inf1+(1.0-F_1)*alpha_inf2
alpha_star=alpha_starinf
alpha_raw=alpha_inf
beta_i=F_1*beta_i1+(1.0-F_1)*beta_i2
alpha_star0=beta_i/3.0
beta_stari=beta_starinf
LOWRE=0
!LOW-RE correction------------------------------------------------------------------
if (lowre.eq.1) then
Re_t_SST=LEFTV(1)*k_0/(VISCL(1)*om_0) !Limiters for this???
alpha_star=alpha_starinf*(alpha_star0+Re_t_SST/R_k_SST)/(1.0+Re_t_SST/R_k_SST)
alpha_raw=alpha_inf/alpha_star*(alpha_0+Re_t_SST/R_om_SST)/(1.0+Re_t_SST/R_om_SST)
beta_stari=beta_starinf*(4.0/15.0+(Re_t_SST/R_beta)**4)/(1.0+(Re_t_SST/R_beta)**4)
end if
!--------------------------------------------------------------------------
!No Mach number corrections for the beta
beta_star=beta_stari
beta_raw=beta_i
!PRODUCTION TERMS
!Production of k
if (vort_model.eq.1) then
Prod_k=VISCL(3)*ONORM*SNORM!-2.0/3.0*LEFTV(1)*k_0*DIVNORM
Prod_om=alpha_raw*LEFTV(1)*SNORM*ONORM
else
!Prod_k=VISCL(3)*SNORM**2
!Exact formulation:
Prod_k=VISCL(3)*(SNORM**2)!-2.0/3.0*DIVNORM*DIVNORM)-2.0/3.0*LEFTV(1)*k_0*DIVNORM
Prod_k=min(Prod_k,10.0*LEFTV(1)*beta_star*k_0*om_0)
!INTELLIGENT WAY OF LIMITING:
!Prod_k=min(Prod_k,max(10.0*LEFTV(1)*beta_star*k_0*om_0,&
! VISCL(3)*ONORM*SNORM!-2.0/3.0*LEFTV(1)*k_0*DIVNORM))
!Production of omega (Menter does this before correcting Prod_k,
!but in article of 2003 he applies the correction to both)
Prod_om=alpha_raw*LEFTV(1)*SNORM**2
! Prod_om=min(Prod_om,10.0*LEFTV(1)*beta_star*om_0*om_0)
end if
!DESTRUCTION TERMS
!Destruction of k
Ydest_k=LEFTV(1)*beta_star*k_0*om_0
!Destruction of omega
Ydest_om=LEFTV(1)*beta_raw*om_0*om_0
!CROSSED-DIFFUSION TERM
!Crossed diffusion of omega
Diff_om=2.0*(1-F_1)*LEFTV(1)/(om_0*sigma_om2)*dervk_dervom
!QSAS TERM: SCALE ADAPTIVE
if (QSAS_model.eq.1) then !<------------!!!!!!!!!!!!!!!!!!!
!Calculate here second derivative of u
!Declare all variables
DO IEX=1,3
VORTET(IEX,1:3)=ILOCAL_RECON3(I)%GRADS(3+TURBULENCEEQUATIONS+IEX,1:3)
END DO
uxx=VORTET(1,1) ; uyy=VORTET(1,2); uzz=VORTET(1,3)
vxx=VORTET(2,1) ; vyy=VORTET(2,2); vzz=VORTET(2,3)
wxx=VORTET(3,1) ; wyy=VORTET(3,2); wzz=VORTET(3,3)
!Compute here cell volume
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
u_lapl=sqrt((uxx+uyy+uzz)**2+(vxx+vyy+vzz)**2+(wxx+wyy+wzz)**2)
dervk2=kx*kx+ky*ky+kz*kz
dervom2=omx*omx+omy*omy+omz*omz
Delta_cell=Cell_volume**0.333333333333333
L_sas=sqrt(k_0)/(beta_star**0.25*om_0)
L_vk=max(kappa*SNORM/u_lapl, & !This switch provides high wave-number damping
C_smg*Delta_cell*sqrt(kappa*eta2_SAS/(beta_raw/beta_star-alpha_raw)))
Q_sas1=LEFTV(1)*eta2_SAS*kappa*SNORM**2*(L_sas/L_vk)**2
Q_sas2= -C_SAS*2*LEFTV(1)*k_0/sigma_phi*max(dervk2/k_0**2,dervom2/om_0**2)
Q_SAS=max(Q_sas1+Q_sas2,0.0)
else
Q_SAS=ZERO
end if
!FINAL SOURCE TERMS
!DES-SST MODEL (if QSAS_model=2)
if (QSAS_model .eq.2) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
L_t_DES=sqrt(k_0)/(beta_star*om_0)
F_DES_SST=max(1.0, L_t_DES/(C_DES_SST*Delta_cell)*(1-F_2))
!The (1-F_2) is meant to protect the boundary layer. Will result in same
!separation point that standard S-A
Ydest_k=F_DES_SST*Ydest_k
end if
srcfull_k=Prod_k-Ydest_k
srcfull_om=Prod_om-Ydest_om+Diff_om+Q_SAS
!Filling the output vector
SOURCE_T(1) = srcfull_k
SOURCE_T(2) = srcfull_om
END SELECT
END SUBROUTINE SOURCES
SUBROUTINE SOURCES_DERIVATIVES(N,ICONSIDERED)
!> @brief
!> Sources derivative computation for implicit time stepping
implicit none
INTEGER,INTENT(IN)::N,ICONSIDERED
REAL::INTENERGY,R1,U1,V1,W1,ET1,S1,IE1,P1,SKIN1,E1,RS,US,VS,WS,KHX
REAL::VHX,AMP,DVEL,OMEGA,SQUARET,TCH_X,TCH_X3,TCH_FV1,TCH_FV2
REAL::TCH_RS,TCH_R,TCH_G,TCH_GLIM,TCH_FW,TCH_DIF,TCH_DEST,TCH_PROD
INTEGER::I,K,J,L,IHGT,IHGJ,IEX, LOWRE
REAL::SNORM,ONORM,DIVNORM,ax,ay,az,TCH_SHH,TCH_SAV,Verysmall,onesix,ProdTerm1,stild,rr
REAL::gg,FW,destterm,fodt,srcfull,DBPR,DBDI,DBDE,DBY,DBX,ProdTermfinal
REAL:: r_DES,f_DES, ddw,F_DES_SST,L_t_DES
Real :: ux,uy,vx,vy,shear,sratio,prodmod,cvor,stildmod,ProdTerm2,sfac,sss,usss,ssss,S_bar,KRON
real:: uz,vz,wx,wy,wz
REAL:: uxx,uyy,uzz,vxx,vyy,vzz,wxx,wyy,wzz !For SAS only
REAL,DIMENSION(3,3)::VORTET,TVORT,SVORT,OVORT
REAL,DIMENSION(3)::VORTEM,VERTF,vertex
real,dimension(TURBULENCEEQUATIONS,1:3)::DERIVTURB
!Declarations for k-omega
REAL:: srcfull_k, srcfull_om, Prod_k, Prod_om, Ydest_k, Ydest_om, Diff_om, Q_sas
REAL:: sigma_k, sigma_om, F_1, F_2,Phi_1,Phi_2, D_omplus !-------------- Those are for diffusion too!
REAL:: alpha_raw,alpha_star, Re_t_SST,alpha_inf
REAL:: beta_stari, beta_i, beta_raw, beta_star
REAL:: k_0, om_0, wally
REAL:: dervk_dervom, dervom2, dervk2, u_lapl !Generalization of the velocity Laplacian
REAL:: L_sas, L_vk, Delta_cell, Cell_volume, Q_sas1, Q_sas2
REAL:: kx,ky,kz,omx,omy,omz
I=ICONSIDERED
Verysmall = 10e-16
VORTET(1:3,1:3) = ILOCAL_RECON3(I)%GRADS(1:3,1:3)
ux = Vortet(1,1);uy = Vortet(1,2);uz = Vortet(1,3)
vx = Vortet(2,1);vy = Vortet(2,2);vz = Vortet(2,3)
wx = Vortet(3,1);wy = Vortet(3,2);wz = Vortet(3,3)
DO IHGT=1,3
DO IHGJ=1,3
TVORT(IHGT,IHGJ)=VORTET(IHGJ,IHGT)
END DO
END DO
sVORT=0.5*(VORTET+TVORT)
OVORT=0.5*(VORTET-TVORT)
SNORM=SQRT(2.0D0*((SVORT(1,1)*SVORT(1,1))+(SVORT(1,2)*SVORT(1,2))+(SVORT(1,3)*SVORT(1,3))+&
(SVORT(2,1)*SVORT(2,1))+(SVORT(2,2)*SVORT(2,2))+(SVORT(2,3)*SVORT(2,3))+&
(SVORT(3,1)*SVORT(3,1))+(SVORT(3,2)*SVORT(3,2))+(SVORT(3,3)*SVORT(3,3))))
!Quadratic mean of the strain tensor (defined as Svort). Also needed in SST
ONORM=SQRT(2.0D0*((OVORT(1,1)*OVORT(1,1))+(OVORT(1,2)*OVORT(1,2))+(OVORT(1,3)*OVORT(1,3))+&
(OVORT(2,1)*OVORT(2,1))+(OVORT(2,2)*OVORT(2,2))+(OVORT(2,3)*OVORT(2,3))+&
(OVORT(3,1)*OVORT(3,1))+(OVORT(3,2)*OVORT(3,2))+(OVORT(3,3)*OVORT(3,3))))
OMEGA=ONORM
DIVNORM=ux+uy+uz !Careful with the sign. If it becomes very big, it can produce negative production
usss=sqrt((2.0*((ux*ux)+(vy*vy)+(wz*wz)))&
+((uy+vx)*(uy+vx)+(uz+wx)*(uz+wx)+(wy+vz)*(wy+vz))&
-(2.0/3.0*(ux+vy+wz)*(ux+vy+wz)))
DERIVTURB(1,1:3) = ILOCAL_RECON3(I)%GRADS(5,1:3)
SQUARET=(sqrt((DERIVTURB(1,1)**2)+(DERIVTURB(1,2)**2)+(DERIVTURB(1,3)**2)))**2
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)
TURBMV(1)=U_CT(I)%VAL(1,1)
TURBMV(2)=TURBMV(1)
SELECT CASE(TURBULENCEMODEL)
CASE(1) !!SPALART ALMARAS MODEL
if (ISPAL .eq.1) then
eddyfl(2)=turbmv(1)
eddyfr(2)=turbmv(2)
onesix = 1.0D0/6.0D0
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
cw1 = cb1 / (kappa*kappa)
cw1 = cw1 + (1.0 + cb2) /sigma
TCH_X= TURBMV(1) / VISCL(1)
if (TCH_X .lt. Verysmall) then
SOURCE_T(1) = ZERO
else
TCH_X3 = (TCH_X)*(TCH_X)*(TCH_X)
TCH_FV1 = TCH_X3/(TCH_X3+(CV1*CV1*CV1))
TCH_fv2 = 1.0D0 - (TCH_X/(1.0D0 + TCH_X*TCH_fv1))
ddw=IELEM(N,I)%WallDist
if (DES_model .eq. 1) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
ddw=min(ddw,C_DES_SA*Delta_cell)
end if
if (DES_model .eq. 2) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
r_DES=min(10.0, (viscl(1)+viscl(3))/(SNORM*(KAPPA*ddw)**2+1e-16))
!Previous limiter is just for numerical reasons regarding tanh
f_DES=1-tanh((8.0*r_DES)**3)
ddw=max(ddw-f_DES*max(ddw-C_DES_SA*Delta_cell,1e-16),10.0e-16)
end if
ProdTerm1 = (TURBMV(1))/(leftv(1)* KAPPA * KAPPA * ddw * ddw)
Stild = max ( OMEGA + (TCH_fv2*ProdTerm1), 0.3*OMEGA)
Prodtermfinal=Stild*turbmv(1)*cb1/leftv(1)
RR=MIN((TURBMV(1)/(((LEFTV(1)*STILD*KAPPA * KAPPA * (ddw) * (ddw)))+0.000000001)),10.0)
gg = rr + ( CW2 * (rr**6 - rr) )
Fw = gg * (((1.0 + cw3**6) / (gg**6 + cw3**6))**onesix)
! Destruction term
destterm = cw1 * fw * ((( TURBMV(1) ) /( leftv(1)*(ddw)))**2)
! ! ! First order diffusion term
fodt = cb2 * SQUARET / SIGMA
Prodtermfinal=Stild*cb1
destterm = 2.0* cw1 * fw * (TURBMV(1)/(LEFTV(1)*DDW**2))
fodt = 2.0* cb2 * (SQRT(SQUARET)) / SIGMA
SOURCE_T(1)= min(ProdTermfinal + fodt - destterm,ZERO)
END IF
eLSE
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
TCH_X= TURBMV(1) / VISCL(1)
if (tch_x.gt.10.0D0)then
tch_x=tch_x
ELSE
tch_x=0.05D0*log(1.0D0+exp(20.0D0*(tch_x)))
end if
ddw=IELEM(N,I)%WallDist
if (DES_model .eq. 1) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
ddw=min(ddw,C_DES_SA*Delta_cell)
end if
if (DES_model .eq. 2) then
CELL_VOLUME=IELEM(N,I)%TOTVOLUME
Delta_cell=Cell_volume**0.333333333333333
r_DES=min(10.0D0, (viscl(1)+viscl(3))/(SNORM*(KAPPA*ddw)**2+1e-16))
!Previous limiter is just for numerical reasons regarding tanh
f_DES=1-tanh((8.0D0*r_DES)**3)
ddw=max(ddw-f_DES*max(ddw-C_DES_SA*Delta_cell,1e-16),10.0e-16)
end if
TCH_X3 = (TCH_X)*(TCH_X)*(TCH_X)
TCH_FV1 = TCH_X3/(TCH_X3+(CV1*CV1*CV1))
TCH_fv2 = 1.0D0 - (TCH_X/(1.0D0 + TCH_X*TCH_fv1))
ProdTerm1 = (TCH_fv2*tch_x*(TURBMV(1)))/( leftv(1)*KAPPA * KAPPA * (ddw) * (ddw))
IF (PRODTERM1.GE.(-0.7D0*OMEGA))THEN
Stild = OMEGA + ProdTerm1
END IF
IF (PRODTERM1.LT.(-0.7D0*OMEGA))THEN
Stild = OMEGA + ((OMEGA*(((0.7D0*0.7D0)*(OMEGA))+(0.9*PRODTERM1)))/(((0.9-1.4)*OMEGA)-PRODTERM1))
END IF
Prodtermfinal=Stild*turbmv(1)*cb1*tch_x
!
!
RR=((TURBMV(1)*TCH_X/(LEFTV(1)*Stild*KAPPA * KAPPA * (ddw) * (ddw))))
gg = rr + ( CW2 * (rr**6 - rr) )
Fw = gg * (((1.0 + cw3**6) / (gg**6 + cw3**6))**onesix)
! ! ! Destruction term
destterm = cw1 * fw *leftv(1)* (((turbmv(1)*tch_x/leftv(1))/(ddw))**2)
! ! ! First order diffusion term
fodt = LEFTV(1)*cb2 * SQUARET / SIGMA
Prodtermfinal=Stild*cb1*tch_x
destterm = 2.0* cw1 * fw * (TURBMV(1)/(LEFTV(1)*DDW**2))
fodt = 2.0* cb2 * (SQRT(SQUARET)) / SIGMA
SOURCE_T(1)= min(ProdTermfinal + fodt - destterm,ZERO)
END IF
CASE(2) !K OMEGA SST
EDDYFL(1)=IELEM(N,I)%WALLDIST
EDDYFL(2)=U_CT(I)%VAL(1,1)
EDDYFL(3)=U_CT(I)%VAL(1,2)
EDDYFL(4:6)=ILOCAL_RECON3(I)%GRADS(1,1:3)
EDDYFL(7:9)=ILOCAL_RECON3(I)%GRADS(2,1:3)
EDDYFL(10:12)=ILOCAL_RECON3(I)%GRADS(3,1:3)
EDDYFL(13:15)=ILOCAL_RECON3(I)%GRADS(4,1:3)
EDDYFL(16:18)=ILOCAL_RECON3(I)%GRADS(5,1:3)
eddyfr=eddyfl
CALL EDDYVISCO(N,VISCL,LAML,TURBMV,ETVM,EDDYFL,EDDYFR)
k_0=(MAX(Verysmall,U_CT(I)%VAL(1,1)/LEFTV(1))) !First subindex makes reference to the time-stepping
om_0=MAX(1.0e-1*ufreestream/CharLength,U_CT(I)%VAL(1,2)/LEFTV(1))
! wally=IELEM(N,I)%WallDist
!
!
! !Calculate here k and omega gradients
! OMX=ILOCAL_RECON3(I)%GRADS(5,1)
! OMY=ILOCAL_RECON3(I)%GRADS(5,2)
! OMZ=ILOCAL_RECON3(I)%GRADS(5,3)
! KX=ILOCAL_RECON3(I)%GRADS(4,1)
! KY=ILOCAL_RECON3(I)%GRADS(4,2)
! KZ=ILOCAL_RECON3(I)%GRADS(4,3)
!
! dervk_dervom= kx*omx+ky*omy+kz*omz
!
! !Parameters
!
! !-----NEEDED IN DIFFUSION--------
! D_omplus=max(2*LEFTV(1)/sigma_om2/om_0*dervk_dervom, 1e-10)
! phi_2=max(sqrt(k_0)/(0.09*om_0*wally),500.0*VISCL(1)/(LEFTV(1)*wally*wally*om_0))
! phi_1=min(phi_2, 4.0*LEFTV(1)*k_0/(sigma_om2*D_omplus*wally*wally))
!
! F_1=tanh(phi_1**4)
! F_2=tanh(phi_2**2)
! !--------------------------------
!
!
! alpha_inf=F_1*alpha_inf1+(1.0-F_1)*alpha_inf2
! alpha_star=alpha_starinf
! alpha_raw=alpha_inf
!
!
! beta_i=F_1*beta_i1+(1.0-F_1)*beta_i2
! alpha_star0=beta_i/3.0
! beta_stari=beta_starinf
!
!
!
!
! LOWRE=0
! !LOW-RE correction------------------------------------------------------------------
!
! if (lowre.eq.1) then
! Re_t_SST=LEFTV(1)*k_0/(VISCL(1)*om_0) !Limiters for this???
!
! alpha_star=alpha_starinf*(alpha_star0+Re_t_SST/R_k_SST)/(1.0+Re_t_SST/R_k_SST)
! alpha_raw=alpha_inf/alpha_star*(alpha_0+Re_t_SST/R_om_SST)/(1.0+Re_t_SST/R_om_SST)
!
! beta_stari=beta_starinf*(4.0/15.0+(Re_t_SST/R_beta)**4)/(1.0+(Re_t_SST/R_beta)**4)
!
! end if
! !--------------------------------------------------------------------------
!
! !No Mach number corrections for the beta
! beta_star=beta_stari
! beta_raw=beta_i
!
!
! !PRODUCTION TERMS
! !Production of k
! if (vort_model.eq.1) then
! Prod_k=VISCL(3)*ONORM*SNORM!-2.0/3.0*LEFTV(1)*k_0*DIVNORM
! Prod_om=alpha_raw*LEFTV(1)*SNORM*ONORM
! else
! !Prod_k=VISCL(3)*SNORM**2
! !Exact formulation:
! Prod_k=VISCL(3)*(SNORM**2)!-2.0/3.0*DIVNORM*DIVNORM)-2.0/3.0*LEFTV(1)*k_0*DIVNORM
! Prod_k=min(Prod_k,10.0*LEFTV(1)*beta_star*k_0*om_0)
!
! !INTELLIGENT WAY OF LIMITING:
! !Prod_k=min(Prod_k,max(10.0*LEFTV(1)*beta_star*k_0*om_0,&
! ! VISCL(3)*ONORM*SNORM!-2.0/3.0*LEFTV(1)*k_0*DIVNORM))
!
!
! !Production of omega (Menter does this before correcting Prod_k,
! !but in article of 2003 he applies the correction to both)
! Prod_om=alpha_raw*LEFTV(1)*SNORM**2
! ! Prod_om=min(Prod_om,10.0*LEFTV(1)*beta_star*om_0*om_0)
! end if
!
! !DESTRUCTION TERMS
! !Destruction of k
! Ydest_k=LEFTV(1)*beta_star*k_0*om_0
! !Destruction of omega
! Ydest_om=LEFTV(1)*beta_raw*om_0*om_0
!
! !CROSSED-DIFFUSION TERM
! !Crossed diffusion of omega
! Diff_om=2.0*(1-F_1)*LEFTV(1)/(om_0*sigma_om2)*dervk_dervom
!
!
! !QSAS TERM: SCALE ADAPTIVE
! if (QSAS_model.eq.1) then !<------------!!!!!!!!!!!!!!!!!!!
! !Calculate here second derivative of u
! !Declare all variables
! DO IEX=1,3
! VORTET(IEX,1:3)=ILOCAL_RECON3(I)%GRADS(3+TURBULENCEEQUATIONS+IEX,1:3)
!
! END DO
!
! uxx=VORTET(1,1) ; uyy=VORTET(1,2); uzz=VORTET(1,3)
! vxx=VORTET(2,1) ; vyy=VORTET(2,2); vzz=VORTET(2,3)
! wxx=VORTET(3,1) ; wyy=VORTET(3,2); wzz=VORTET(3,3)
! !Compute here cell volume
! CELL_VOLUME=IELEM(N,I)%TOTVOLUME
!
! u_lapl=sqrt((uxx+uyy+uzz)**2+(vxx+vyy+vzz)**2+(wxx+wyy+wzz)**2)
! dervk2=kx*kx+ky*ky+kz*kz
! dervom2=omx*omx+omy*omy+omz*omz
!
! Delta_cell=Cell_volume**0.333333333333333
!
! L_sas=sqrt(k_0)/(beta_star**0.25*om_0)
! L_vk=max(kappa*SNORM/u_lapl, & !This switch provides high wave-number damping
! C_smg*Delta_cell*sqrt(kappa*eta2_SAS/(beta_raw/beta_star-alpha_raw)))
!
! Q_sas1=LEFTV(1)*eta2_SAS*kappa*SNORM**2*(L_sas/L_vk)**2
! Q_sas2= -C_SAS*2*LEFTV(1)*k_0/sigma_phi*max(dervk2/k_0**2,dervom2/om_0**2)
!
! Q_SAS=max(Q_sas1+Q_sas2,0.0)
! else
! Q_SAS=ZERO
! end if
!
! !FINAL SOURCE TERMS
!
!
! !DES-SST MODEL (if QSAS_model=2)
! if (QSAS_model .eq.2) then
! CELL_VOLUME=IELEM(N,I)%TOTVOLUME
! Delta_cell=Cell_volume**0.333333333333333
! L_t_DES=sqrt(k_0)/(beta_star*om_0)
! F_DES_SST=max(1.0, L_t_DES/(C_DES_SST*Delta_cell)*(1-F_2))
! !The (1-F_2) is meant to protect the boundary layer. Will result in same
! !separation point that standard S-A
! Ydest_k=F_DES_SST*Ydest_k
! end if
!
! srcfull_k=Prod_k-Ydest_k
! srcfull_om=Prod_om-Ydest_om+Diff_om+Q_SAS
!Filling the output vector
SOURCE_T(1) = BETA_STARINF*om_0
SOURCE_T(2) = BETA_STARINF*k_0
END SELECT
END SUBROUTINE SOURCES_DERIVATIVES
SUBROUTINE SOURCES_COMPUTATION2d(N)
!> @brief
!> Sources computation in 2D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
KMAXE=XMPIELRANK(N)
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
ICONSIDERED=I
CALL SOURCES2d(N,ICONSIDERED)
RHST(I)%VAL(1:turbulenceequations)=RHST(I)%VAL(1:turbulenceequations)-(SOURCE_T(1:turbulenceequations)*ielem(n,I)%totvolume)
END DO
!$OMP END DO
END SUBROUTINE SOURCES_COMPUTATION2d
SUBROUTINE SOURCES_derivatives_COMPUTATION2d(N)
!> @brief
!> Sources derivatives computation in 2D
IMPLICIT NONE
INTEGER,INTENT(IN)::N
INTEGER::I,KMAXE
KMAXE=XMPIELRANK(N)
!$OMP DO SCHEDULE (STATIC)
DO I=1,KMAXE
ICONSIDERED=I
CALL SOURCES_derivatives2d(N,ICONSIDERED)
sht(I,1:turbulenceequations)=(SOURCE_T(1:turbulenceequations)*ielem(n,I)%totvolume)
END DO
!$OMP END DO
END SUBROUTINE SOURCES_derivatives_COMPUTATION2d
SUBROUTINE SOURCES2d(N,ICONSIDERED)
!> @brief
!> Sources computation in 2D
implicit none
INTEGER,INTENT(IN)::N,ICONSIDERED
REAL::INTENERGY,R1,U1,V1,W1,ET1,S1,IE1,P1,SKIN1,E1,RS,US,VS,WS,KHX
REAL::VHX,AMP,DVEL,OMEGA,SQUARET,TCH_X,TCH_X3,TCH_FV1,TCH_FV2
REAL::TCH_RS,TCH_R,TCH_G,TCH_GLIM,TCH_FW,TCH_DIF,TCH_DEST,TCH_PROD
INTEGER::I,K,J,L,IHGT,IHGJ,IEX, LOWRE
REAL::SNORM,ONORM,DIVNORM,ax,ay,az,TCH_SHH,TCH_SAV,Verysmall,onesix,ProdTerm1,stild,rr
REAL::gg,FW,destterm,fodt,srcfull,DBPR,DBDI,DBDE,DBY,DBX,ProdTermfinal
REAL:: r_DES,f_DES, ddw,F_DES_SST,L_t_DES
Real :: ux,uy,vx,vy,shear,sratio,prodmod,cvor,stildmod,ProdTerm2,sfac,sss,usss,ssss,S_bar,KRON
real:: uz,vz,wx,wy,wz
REAL:: uxx,uyy,uzz,vxx,vyy,vzz,wxx,wyy,wzz !For SAS only
REAL,DIMENSION(2,2)::VORTET,TVORT,SVORT,OVORT
REAL,DIMENSION(2)::VORTEM,VERTF,vertex
real,dimension(TURBULENCEEQUATIONS,1:2)::DERIVTURB
!Declarations for k-omega
REAL:: srcfull_k, srcfull_om, Prod_k, Prod_om, Ydest_k, Ydest_om, Diff_om, Q_sas
REAL:: sigma_k, sigma_om, F_1, F_2,Phi_1,Phi_2, D_omplus !-------------- Those are for diffusion too!
REAL:: alpha_raw,alpha_star, Re_t_SST,alpha_inf
REAL:: beta_stari, beta_i, beta_raw, beta_star
REAL:: k_0, om_0, wally
REAL:: dervk_dervom, dervom2, dervk2, u_lapl !Generalization of the velocity Laplacian
REAL:: L_sas, L_vk, Delta_cell, Cell_volume, Q_sas1, Q_sas2
REAL:: kx,ky,kz,omx,omy,omz
I=ICONSIDERED
Verysmall = 10e-16
VORTET(1:2,1:2) = ILOCAL_RECON3(I)%GRADS(1:2,1:2)
ux = Vortet(1,1);uy = Vortet(1,2)
vx = Vortet(2,1);vy = Vortet(2,2)
DO IHGT=1,2
DO IHGJ=1,2
TVORT(IHGT,IHGJ)=VORTET(IHGJ,IHGT)
END DO
END DO
sVORT=0.5*(VORTET+TVORT)
OVORT=0.5*(VORTET-TVORT)
SNORM=SQRT(2.0D0*((SVORT(1,1)*SVORT(1,1))+(SVORT(1,2)*SVORT(1,2))+&
(SVORT(2,1)*SVORT(2,1))+(SVORT(2,2)*SVORT(2,2))))
!Quadratic mean of the strain tensor (defined as Svort). Also needed in SST
ONORM=SQRT(2.0D0*((OVORT(1,1)*OVORT(1,1))+(OVORT(1,2)*OVORT(1,2))+&
(OVORT(2,1)*OVORT(2,1))+(OVORT(2,2)*OVORT(2,2))))
OMEGA=ONORM