nasg_mod Module Reference

Functions/Subroutines
subroutine	nasg (iflag, nel, pmin, off, eint, mu, espe, dvol, vnew, psh, pnew, dpdm, dpde, eos_struct)

Function/Subroutine Documentation

nasg()

subroutine nasg_mod::nasg	(	integer, intent(in)	iflag,
		integer, intent(in)	nel,
		intent(in)	pmin,
		dimension(nel), intent(in)	off,
		dimension(nel), intent(inout)	eint,
		dimension(nel), intent(in)	mu,
		dimension(nel), intent(in)	espe,
		dimension(nel), intent(in)	dvol,
		dimension(nel), intent(in)	vnew,
		dimension(nel), intent(inout)	psh,
		dimension(nel), intent(inout)	pnew,
		dimension(nel), intent(inout)	dpdm,
		dimension(nel), intent(inout)	dpde,
		type(eos_param_), intent(in)	eos_struct )

Definition at line 41 of file nasg.F.

C-----------------------------------------------
C   M o d u l e s
C-----------------------------------------------
      USE constant_mod , ONLY : half,two,zero,one
      USE eos_param_mod , ONLY : eos_param_
C-----------------------------------------------
C   D e s c r i p t i o n
C-----------------------------------------------
C This subroutine contains numerical solving
C of NOBLE ABEL STIFFENED GAS EOS
C 2nd order integration in time
!----------------------------------------------------------------------------
!! \details STAGGERED SCHEME IS EXECUTED IN TWO PASSES IN EOSMAIN : IFLG=0 THEN IFLG=1
!! \details COLLOCATED SCHEME IS DOING A SINGLE PASS : IFLG=2
!! \details
!! \details  STAGGERED SCHEME
!! \details     EOSMAIN / IFLG = 0 : DERIVATIVE CALCULATION FOR SOUND SPEED ESTIMATION c[n+1] REQUIRED FOR PSEUDO-VISCOSITY (DPDE:partial derivative, DPDM:total derivative)
!! \details     MQVISCB            : PSEUDO-VISCOSITY Q[n+1]
!! \details     MEINT              : INTERNAL ENERGY INTEGRATION FOR E[n+1] : FIRST PART USING P[n], Q[n], and Q[n+1] CONTRIBUTIONS
!! \details     EOSMAIN / IFLG = 1 : UPDATE P[n+1], T[N+1]
!! \details                          INTERNAL ENERGY INTEGRATION FOR E[n+1] : LAST PART USING P[n+1] CONTRIBUTION
!! \details                            (second order integration dE = -P.dV where P = 0.5(P[n+1] + P[n]) )
!! \details  COLLOCATED SCHEME
!! \details     EOSMAIN / IFLG = 2 : SINGLE PASS FOR P[n+1] AND DERIVATIVES
!----------------------------------------------------------------------------
C-----------------------------------------------
C   I m p l i c i t   T y p e s
C-----------------------------------------------
      IMPLICIT NONE
#include     "my_real.inc"
C-----------------------------------------------
C   D u m m y   A r g u m e n t s
C-----------------------------------------------
      INTEGER,INTENT(IN) :: IFLAG, NEL
      my_real,INTENT(IN) :: pmin, off(nel) ,mu(nel)   , espe(nel) ,dvol(nel) ,vnew(nel)
      my_real, INTENT(INOUT) :: psh(nel), pnew(nel) ,dpdm(nel), dpde(nel), eint(nel)
      TYPE(EOS_PARAM_),INTENT(IN) :: EOS_STRUCT
C-----------------------------------------------
C   L o c a l   V a r i a b l e s
C-----------------------------------------------
        INTEGER I
        my_real :: p0,gamma,e0,aa,bb,pp,pstar,v0
        my_real :: q,q_,rho0,num,denom,unpmu,b,rho
C-----------------------------------------------
C   S o u r c e  L i n e s
C-----------------------------------------------
        e0         = eos_struct%E0
        psh(1:nel) = eos_struct%PSH
        gamma      = eos_struct%UPARAM(1)
        p0         = eos_struct%UPARAM(2)
        pstar      = eos_struct%UPARAM(3)
        q          = eos_struct%UPARAM(4)
        q_         = eos_struct%UPARAM(5)
        b          = eos_struct%UPARAM(6)
        rho0       = eos_struct%UPARAM(7)
 
      IF(iflag == 0) THEN
        DO i=1,nel
          unpmu   =  one+mu(i)
          denom   = (one-rho0*b*unpmu)
          num     = (espe(i)-rho0*q)
          pp      = (gamma-one)*unpmu*num/denom - gamma*pstar
          dpde(i) = (gamma-one)*unpmu / denom                                         !partial derivative
          dpdm(i) = (gamma-one)*num/denom/denom + dpde(i)*(pp+psh(i))/unpmu/unpmu     !total derivative
          pnew(i) = max(pp,-gamma*pstar)*off(i)   ! P(mu[n+1],E[n])
        ENDDO
 
      ELSEIF(iflag == 1) THEN
        DO i=1,nel
          eint(i) = eint(i) - half*dvol(i)*(pnew(i)+psh(i))
          unpmu   =  one+mu(i)
          rho     = unpmu*rho0
          v0      = vnew(i)*rho/rho0
          denom   = (vnew(i)/v0-rho0*b)
          aa      = (gamma-one)*(-rho0*q/denom)-gamma*pstar
          bb      = (gamma-one)/ denom
          dpde(i) = bb  !partial derivative
          pnew(i) = (aa+bb*eint(i)/v0)/(one+bb*dvol(i)/two/v0)   ! P(mu[n+1],E[n+1])
          pnew(i) = max(pnew(i),-gamma*pstar)*off(i)
        ENDDO
 
      ELSEIF(iflag == 2) THEN
        DO i=1, nel
          IF (vnew(i) > zero) THEN
            unpmu   =  one+mu(i)
            denom   = (one-rho0*b*unpmu)
            num     = (espe(i)-rho0*q)
            pnew(i) = -psh(i) +  (gamma-one)*unpmu*num/denom - gamma*pstar
            pnew(i) = max(pnew(i),max(pmin, -gamma*pstar))*off(i)
            dpde(i) = (gamma-one)*unpmu / denom                                              !partial derivative
            dpdm(i) = (gamma-one)*num/denom/denom + dpde(i)*(pnew(i)+psh(i))/unpmu/unpmu     !total derivative
          ENDIF
        ENDDO
 
        ENDIF
C-----------------------------------------------
        RETURN