RFLO_SetMstageCoeffs.F90

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!******************************************************************************
!
! Purpose: set coefficients of an explicit multistage scheme.
!
! Description: none.
!
! Input: input = type of space and time discretization.
!
! Output: input    = stage and blending coefficients, dissipation evaluation
!         nrkSteps = number of stages.
!
! Notes: none.
!
!******************************************************************************
!
! $Id: RFLO_SetMstageCoeffs.F90,v 1.3 2008/12/06 08:44:07 mtcampbe Exp $
!
! Copyright: (c) 2003 by the University of Illinois
!
!******************************************************************************

SUBROUTINE rflo_setmstagecoeffs( global,input,nrkSteps )

  USE moddatatypes
  USE moderror
  USE modglobal, ONLY: t_global
  USE modmixture, ONLY : t_mixt_input
  USE modparameters
  IMPLICIT NONE

! ... parameters
  INTEGER :: nrksteps

  TYPE(t_mixt_input) :: input

  TYPE(t_global), POINTER :: global

!******************************************************************************

  IF (input%timeScheme == tst_hyb5rk) THEN
    nrksteps = 5
    IF (input%spaceDiscr == discr_cen_scal) THEN   ! central scheme
      input%ark(1)   = 0.2500_rfreal
      input%ark(2)   = 0.1667_rfreal
      input%ark(3)   = 0.3750_rfreal
      input%ark(4)   = 0.5000_rfreal
      input%ark(5)   = 1.0000_rfreal
      input%betrk(1) = 1.00_rfreal
      input%betrk(2) = 0.00_rfreal
      input%betrk(3) = 0.56_rfreal
      input%betrk(4) = 0.00_rfreal
      input%betrk(5) = 0.44_rfreal
      input%ldiss(1) = 1
      input%ldiss(2) = 0
      input%ldiss(3) = 1
      input%ldiss(4) = 0
      input%ldiss(5) = 1
    ELSE                                           ! upwind scheme
      IF (input%flowModel == flow_euler) THEN      ! inviscid flow
        IF (input%spaceOrder == discr_order_1) THEN 
          input%ark(1)   = 0.0533_rfreal
          input%ark(2)   = 0.1263_rfreal
          input%ark(3)   = 0.2375_rfreal
          input%ark(4)   = 0.4414_rfreal
          input%ark(5)   = 1.0000_rfreal
          input%betrk(1) = 1.00_rfreal
          input%betrk(2) = 1.00_rfreal
          input%betrk(3) = 1.00_rfreal
          input%betrk(4) = 1.00_rfreal
          input%betrk(5) = 1.00_rfreal
          input%ldiss(1) = 1
          input%ldiss(2) = 1
          input%ldiss(3) = 1
          input%ldiss(4) = 1
          input%ldiss(5) = 1
        ELSE
          input%ark(1)   = 0.0695_rfreal
          input%ark(2)   = 0.1602_rfreal
          input%ark(3)   = 0.2898_rfreal
          input%ark(4)   = 0.5060_rfreal
          input%ark(5)   = 1.0000_rfreal
          input%betrk(1) = 1.00_rfreal
          input%betrk(2) = 1.00_rfreal
          input%betrk(3) = 1.00_rfreal
          input%betrk(4) = 1.00_rfreal
          input%betrk(5) = 1.00_rfreal
          input%ldiss(1) = 1
          input%ldiss(2) = 1
          input%ldiss(3) = 1
          input%ldiss(4) = 1
          input%ldiss(5) = 1
        ENDIF
      ELSE                                         ! viscous flow
        input%ark(1)   = 0.2742_rfreal
        input%ark(2)   = 0.2067_rfreal
        input%ark(3)   = 0.5020_rfreal
        input%ark(4)   = 0.5142_rfreal
        input%ark(5)   = 1.0000_rfreal
        input%betrk(1) = 1.00_rfreal
        input%betrk(2) = 0.00_rfreal
        input%betrk(3) = 0.56_rfreal
        input%betrk(4) = 0.00_rfreal
        input%betrk(5) = 0.44_rfreal
        input%ldiss(1) = 1
        input%ldiss(2) = 0
        input%ldiss(3) = 1
        input%ldiss(4) = 0
        input%ldiss(5) = 1
      ENDIF
    ENDIF

  ELSE                                ! unsteady, classical Runge-Kutta
    SELECT CASE ( global%rkScheme ) 
      CASE ( rk_scheme_4_classical ) 
        nrksteps       = 4
        input%ark(1)   = 0.5_rfreal
        input%ark(2)   = 0.5_rfreal
        input%ark(3)   = 1.0_rfreal
        input%ark(4)   = 1._rfreal/6._rfreal
        input%betrk(:) = 1.0_rfreal
        input%grk(1)   = 1.0_rfreal
        input%grk(2)   = 2.0_rfreal
        input%grk(3)   = 2.0_rfreal
        input%grk(4)   = 1.0_rfreal
        input%trk(1)   = 0.5_rfreal
        input%trk(2)   = 0.5_rfreal
        input%trk(3)   = 1.0_rfreal
        input%trk(4)   = 1.0_rfreal
        input%ldiss(:) = 1
        input%cfl      = min(input%cfl,3._rfreal)   ! stability margin
        input%smoocf   = -1._rfreal                 ! no residual smoothing
      CASE ( rk_scheme_3_wray ) 
        nrksteps       = 3
        input%ark(1)   = 8.0_rfreal/15.0_rfreal
        input%ark(2)   = 5.0_rfreal/12.0_rfreal
        input%ark(3)   = 0.75_rfreal
        input%betrk(:) = 0.0_rfreal
        input%grk(1)   =  0.0_rfreal
        input%grk(2)   = 17.0_rfreal/25.0_rfreal
        input%grk(3)   =  5.0_rfreal/ 9.0_rfreal        
        input%trk(1)   = 8.0_rfreal/15.0_rfreal 
        input%trk(2)   = 2.0_rfreal/3.0_rfreal 
        input%trk(3)   = 1.0_rfreal 
        input%ldiss(:) = 1
        input%cfl = min(input%cfl,2.0_rfreal)       ! stability margin
        input%smoocf   = -1._rfreal                 ! no residual smoothing                 
      CASE default 
        CALL errorstop(global,err_reached_default,__line__)
    END SELECT ! global%rkScheme
  ENDIF

END SUBROUTINE rflo_setmstagecoeffs

!******************************************************************************
!
! RCS Revision history:
!
! $Log: RFLO_SetMstageCoeffs.F90,v $
! Revision 1.3  2008/12/06 08:44:07  mtcampbe
! Updated license.
!
! Revision 1.2  2008/11/19 22:17:21  mtcampbe
! Added Illinois Open Source License/Copyright
!
! Revision 1.1  2004/11/29 21:25:17  wasistho
! lower to upper case
!
! Revision 1.2  2004/11/17 16:22:43  haselbac
! Added global as input and setting of RK3 coeffs
!
! Revision 1.1  2003/07/03 21:48:44  jblazek
! Implemented dual-time stepping.
!
!******************************************************************************