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vertical_solver.AUSM
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! Copyright (C) 2002 Regents of the University of Michigan, portions used with permission
! For more information, see http://csem.engin.umich.edu/tools/swmf
!\
! ------------------------------------------------------------
! advance
! ------------------------------------------------------------
!/
subroutine advance_vertical_1d
use ModVertical
use ModGITM, ONLY : Dt, iCommGITM, iProc, iEast_, iNorth_, iUp_
use ModInputs, only: UseBarriers, iDebugLevel
use ModPlanet, only: iN2_
implicit none
!-----------------------------------------------------------
integer :: iError, iAlt
!!!!! Variables for the Runga-Kutta (3) Time-stepping
real :: OrigLogNS(-1:nAlts+2,1:nSpecies)
real :: OrigLogINS(-1:nAlts+2,1:nIonsAdvect)
real :: OrigLogRho(-1:nAlts+2)
real :: OrigVel_GD(-1:nAlts+2,1:3)
real :: OrigTemp(-1:nAlts+2)
real :: OrigVS(-1:nAlts+2,1:nSpecies)
real :: UpdatedLogNS(-1:nAlts+2,1:nSpecies)
real :: UpdatedLogINS(-1:nAlts+2,1:nIonsAdvect)
real :: UpdatedLogRho(-1:nAlts+2)
real :: UpdatedVel_GD(-1:nAlts+2,1:3)
real :: UpdatedTemp(-1:nAlts+2)
real :: UpdatedVS(-1:nAlts+2,1:nSpecies)
real :: FinalLogNS(-1:nAlts+2,1:nSpecies)
real :: FinalLogINS(-1:nAlts+2,1:nIonsAdvect)
real :: FinalLogRho(-1:nAlts+2)
real :: FinalVel_GD(-1:nAlts+2,1:3)
real :: FinalTemp(-1:nAlts+2)
real :: FinalVS(-1:nAlts+2,1:nSpecies)
!!! RK-4 Coefficients
real :: K1LogNS(-1:nAlts+2,1:nSpecies)
real :: K1LogINS(-1:nAlts+2,1:nIonsAdvect)
real :: K1LogRho(-1:nAlts+2)
real :: K1Vel_GD(-1:nAlts+2,1:3)
real :: K1Temp(-1:nAlts+2)
real :: K1VS(-1:nAlts+2,1:nSpecies)
real :: K2LogNS(-1:nAlts+2,1:nSpecies)
real :: K2LogINS(-1:nAlts+2,1:nIonsAdvect)
real :: K2LogRho(-1:nAlts+2)
real :: K2Vel_GD(-1:nAlts+2,1:3)
real :: K2Temp(-1:nAlts+2)
real :: K2VS(-1:nAlts+2,1:nSpecies)
real :: K3LogNS(-1:nAlts+2,1:nSpecies)
real :: K3LogINS(-1:nAlts+2,1:nIonsAdvect)
real :: K3LogRho(-1:nAlts+2)
real :: K3Vel_GD(-1:nAlts+2,1:3)
real :: K3Temp(-1:nAlts+2)
real :: K3VS(-1:nAlts+2,1:nSpecies)
real :: K4LogNS(-1:nAlts+2,1:nSpecies)
real :: K4LogINS(-1:nAlts+2,1:nIonsAdvect)
real :: K4LogRho(-1:nAlts+2)
real :: K4Vel_GD(-1:nAlts+2,1:3)
real :: K4Temp(-1:nAlts+2)
real :: K4VS(-1:nAlts+2,1:nSpecies)
real :: DtOriginal
if (UseBarriers) call MPI_BARRIER(iCommGITM,iError)
if (iDebugLevel > 6) write(*,*) "=======> vertical bcs 1", iproc
DtOriginal = Dt !!! Store this so that it doesn't change
!!! =================
!!! General RK4 Update:
!!! Y(n+1) = Y(n) + Dt/6*(k1 + 2k2 + 2k3 + k4)
!!! Time(n+1) = Time(n) + Dt
!!!
!!! k1 = f(tn,yn)
!!! k2 = f(tn + Dt/2, Yn + Dt/2*k1)
!!! k3 = f(tn + Dt/2, Yn + Dt/2*k2)
!!! k4 = f(tn + Dt, Yn + Dt*k3)
!!! =================
! Step 1, Fill in Ghost Cells
call set_vertical_bcs(LogRho,LogNS,Vel_GD,Temp,LogINS,IVel,VertVel)
! Store our original time step from GITM (CFL-limited).
!!! Set the Original State -> Orig = Y(n)
OrigLogNS(-1:nAlts+2,1:nSpecies) = LogNS(-1:nAlts+2,1:nSpecies)
OrigLogINS(-1:nAlts+2,1:nIonsAdvect) = LogINS(-1:nAlts+2,1:nIonsAdvect)
OrigLogRho(-1:nAlts+2) = LogRho(-1:nAlts+2)
OrigVel_GD(-1:nAlts+2,1:3) = Vel_GD(-1:nAlts+2,1:3)
OrigTemp(-1:nAlts+2) = Temp(-1:nAlts+2)
OrigVS(-1:nAlts+2,1:nSpecies) = VertVel(-1:nAlts+2,1:nSpecies)
NewLogNS = LogNS
NewLogINS = LogINS
NewLogRho = LogRho
NewVel_GD = Vel_GD
NewTemp = Temp
NewVertVel = VertVel
!!! Now calculate, k1 = f(tn, yn)
call advance_vertical_1stage(&
LogRho, LogNS, Vel_GD, Temp, NewLogRho, NewLogNS, NewVel_GD, NewTemp, &
LogINS, NewLogINS, IVel, VertVel, NewVertVel)
!!! note that Stage 1 -> updated by a 1/2 step
!!! (NewLogNS - LogNS) = f(tn + Dt/2, yn + dt/2)
! Dt = DtOriginal/2.0
K1LogNS(-1:nAlts+2,1:nSpecies) = &
(NewLogNS(-1:nAlts+2,1:nSpecies) - LogNS(-1:nAlts+2,1:nSpecies))
K1LogINS(-1:nAlts+2,1:nIonsAdvect) = &
(NewLogINS(-1:nAlts+2,1:nIonsAdvect) - LogINS(-1:nAlts+2,1:nIonsAdvect))
K1LogRho(-1:nAlts+2) = &
(NewLogRho(-1:nAlts+2) - LogRho(-1:nAlts+2))
K1Vel_GD(-1:nAlts+2,1:3) = &
(NewVel_GD(-1:nAlts+2,1:3) - Vel_GD(-1:nAlts+2,1:3))
K1Temp(-1:nAlts+2) = &
(NewTemp(-1:nAlts+2) - Temp(-1:nAlts+2))
K1VS(-1:nAlts+2,1:nSpecies) = &
(NewVertVel(-1:nAlts+2,1:nSpecies) - VertVel(-1:nAlts+2,1:nSpecies))
!!! Now Calculate the Next Update Stage
!!! We need Y(Updated) = Y(n) + 0.5*K1
UpdatedVel_GD(-1:nAlts+2,1:3) = &
OrigVel_GD(-1:nAlts+2,1:3) + &
0.5*K1Vel_GD(-1:nAlts+2,1:3)
UpdatedLogNS(-1:nAlts+2,1:nSpecies) = &
OrigLogNS(-1:nAlts+2,1:nSpecies) + &
0.5*K1LogNS(-1:nAlts+2,1:nSpecies)
UpdatedLogINS(-1:nAlts+2,1:nIonsAdvect) = &
OrigLogINS(-1:nAlts+2,1:nIonsAdvect) + &
0.5*K1LogINS(-1:nAlts+2,1:nIonsAdvect)
UpdatedLogRho(-1:nAlts+2) = &
OrigLogRho(-1:nAlts+2) + &
0.5*K1LogRho(-1:nAlts+2)
UpdatedTemp(-1:nAlts+2) = &
OrigTemp(-1:nAlts+2) + &
0.5*K1Temp(-1:nAlts+2)
UpdatedVS(-1:nAlts+2,1:nSpecies) = &
OrigVS(-1:nAlts+2,1:nSpecies) + &
0.5*K1VS(-1:nAlts+2,1:nSpecies)
!!! UpdateStage 1 Upper Boundary
call set_vertical_bcs(UpdatedLogRho, UpdatedLogNS, UpdatedVel_GD, &
UpdatedTemp, UpdatedLogINS, IVel, UpdatedVS)
LogNS = UpdatedLogNS
LogINS = UpdatedLogINS
LogRho = UpdatedLogRho
Vel_GD = UpdatedVel_GD
Temp = UpdatedTemp
VertVel = UpdatedVS
NewLogNS = LogNS
NewLogINS = LogINS
NewLogRho = LogRho
NewVel_GD = Vel_GD
NewTemp = Temp
NewVertVel = VertVel
!!!!! Calculate K2
call advance_vertical_1stage(&
LogRho, LogNS, Vel_GD, Temp, NewLogRho, NewLogNS, NewVel_GD, NewTemp, &
LogINS, NewLogINS, IVel, VertVel, NewVertVel)
!!! K2 Coefficients for RK-4
K2LogNS(-1:nAlts+2,1:nSpecies) = &
(NewLogNS(-1:nAlts+2,1:nSpecies) - LogNS(-1:nAlts+2,1:nSpecies))
K2LogINS(-1:nAlts+2,1:nIonsAdvect) = &
(NewLogINS(-1:nAlts+2,1:nIonsAdvect) - LogINS(-1:nAlts+2,1:nIonsAdvect))
K2LogRho(-1:nAlts+2) = &
(NewLogRho(-1:nAlts+2) - LogRho(-1:nAlts+2))
K2Vel_GD(-1:nAlts+2,1:3) = &
(NewVel_GD(-1:nAlts+2,1:3) - Vel_GD(-1:nAlts+2,1:3))
K2Temp(-1:nAlts+2) = &
(NewTemp(-1:nAlts+2) - Temp(-1:nAlts+2))
K2VS(-1:nAlts+2,1:nSpecies) = &
(NewVertVel(-1:nAlts+2,1:nSpecies) - VertVel(-1:nAlts+2,1:nSpecies))
!!! Now we want Y(Updated) = Y(n) + 0.5*K2
UpdatedVel_GD(-1:nAlts+2,1:3) = &
OrigVel_GD(-1:nAlts+2,1:3) + &
0.5*K2Vel_GD(-1:nAlts+2,1:3)
UpdatedLogNS(-1:nAlts+2,1:nSpecies) = &
OrigLogNS(-1:nAlts+2,1:nSpecies) + &
0.5*K2LogNS(-1:nAlts+2,1:nSpecies)
UpdatedLogINS(-1:nAlts+2,1:nIonsAdvect) = &
OrigLogINS(-1:nAlts+2,1:nIonsAdvect) + &
0.5*K2LogINS(-1:nAlts+2,1:nIonsAdvect)
UpdatedLogRho(-1:nAlts+2) = &
OrigLogRho(-1:nAlts+2) + &
0.5*K2LogRho(-1:nAlts+2)
UpdatedTemp(-1:nAlts+2) = &
OrigTemp(-1:nAlts+2) + &
0.5*K2Temp(-1:nAlts+2)
UpdatedVS(-1:nAlts+2,1:nSpecies) = &
OrigVS(-1:nAlts+2,1:nSpecies) + &
0.5*K2VS(-1:nAlts+2,1:nSpecies)
!! Update Boundary Conditions
call set_vertical_bcs(UpdatedLogRho, UpdatedLogNS, UpdatedVel_GD, &
UpdatedTemp, UpdatedLogINS, IVel, UpdatedVS)
!
LogNS = UpdatedLogNS
LogINS = UpdatedLogINS
LogRho = UpdatedLogRho
Vel_GD = UpdatedVel_GD
Temp = UpdatedTemp
VertVel = UpdatedVS
NewLogNS = LogNS
NewLogINS = LogINS
NewLogRho = LogRho
NewVel_GD = Vel_GD
NewTemp = Temp
NewVertVel = VertVel
!
!
!!!!!! Calculate K3
!
call advance_vertical_1stage(&
LogRho, LogNS, Vel_GD, Temp, NewLogRho, NewLogNS, NewVel_GD, NewTemp, &
LogINS, NewLogINS, IVel, VertVel, NewVertVel)
!
!!!! K3 Coefficients for RK-4
K3LogNS(-1:nAlts+2,1:nSpecies) = &
(NewLogNS(-1:nAlts+2,1:nSpecies) - LogNS(-1:nAlts+2,1:nSpecies))
K3LogINS(-1:nAlts+2,1:nIonsAdvect) = &
(NewLogINS(-1:nAlts+2,1:nIonsAdvect) - LogINS(-1:nAlts+2,1:nIonsAdvect))
K3LogRho(-1:nAlts+2) = &
(NewLogRho(-1:nAlts+2) - LogRho(-1:nAlts+2))
K3Vel_GD(-1:nAlts+2,1:3) = &
(NewVel_GD(-1:nAlts+2,1:3) - Vel_GD(-1:nAlts+2,1:3))
K3Temp(-1:nAlts+2) = &
(NewTemp(-1:nAlts+2) - Temp(-1:nAlts+2))
K3VS(-1:nAlts+2,1:nSpecies) = &
(NewVertVel(-1:nAlts+2,1:nSpecies) - VertVel(-1:nAlts+2,1:nSpecies))
!!! Now we want Y(Updated) = Y(n) + K3
UpdatedVel_GD(-1:nAlts+2,1:3) = &
OrigVel_GD(-1:nAlts+2,1:3) + &
K3Vel_GD(-1:nAlts+2,1:3)
UpdatedLogNS(-1:nAlts+2,1:nSpecies) = &
OrigLogNS(-1:nAlts+2,1:nSpecies) + &
K3LogNS(-1:nAlts+2,1:nSpecies)
UpdatedLogINS(-1:nAlts+2,1:nIonsAdvect) = &
OrigLogINS(-1:nAlts+2,1:nIonsAdvect) + &
K3LogINS(-1:nAlts+2,1:nIonsAdvect)
UpdatedLogRho(-1:nAlts+2) = &
OrigLogRho(-1:nAlts+2) + &
K3LogRho(-1:nAlts+2)
UpdatedTemp(-1:nAlts+2) = &
OrigTemp(-1:nAlts+2) + &
K3Temp(-1:nAlts+2)
UpdatedVS(-1:nAlts+2,1:nSpecies) = &
OrigVS(-1:nAlts+2,1:nSpecies) + &
K3VS(-1:nAlts+2,1:nSpecies)
!!!! Update Boundary Conditions
call set_vertical_bcs(UpdatedLogRho, UpdatedLogNS, UpdatedVel_GD, &
UpdatedTemp, UpdatedLogINS, IVel, UpdatedVS)
LogNS = UpdatedLogNS
LogINS = UpdatedLogINS
LogRho = UpdatedLogRho
Vel_GD = UpdatedVel_GD
Temp = UpdatedTemp
VertVel = UpdatedVS
NewLogNS = LogNS
NewLogINS = LogINS
NewLogRho = LogRho
NewVel_GD = Vel_GD
NewTemp = Temp
NewVertVel = VertVel
!! Calculate K4 (Final Coefficient)
call advance_vertical_1stage(&
LogRho, LogNS, Vel_GD, Temp, NewLogRho, NewLogNS, NewVel_GD, NewTemp, &
LogINS, NewLogINS, IVel, VertVel, NewVertVel)
!!! K4 Coefficients for RK-4
K4LogNS(-1:nAlts+2,1:nSpecies) = &
(NewLogNS(-1:nAlts+2,1:nSpecies) - LogNS(-1:nAlts+2,1:nSpecies))
K4LogINS(-1:nAlts+2,1:nIonsAdvect) = &
(NewLogINS(-1:nAlts+2,1:nIonsAdvect) - LogINS(-1:nAlts+2,1:nIonsAdvect))
K4LogRho(-1:nAlts+2) = &
(NewLogRho(-1:nAlts+2) - LogRho(-1:nAlts+2))
K4Vel_GD(-1:nAlts+2,1:3) = &
(NewVel_GD(-1:nAlts+2,1:3) - Vel_GD(-1:nAlts+2,1:3))
K4Temp(-1:nAlts+2) = &
(NewTemp(-1:nAlts+2) - Temp(-1:nAlts+2))
K4VS(-1:nAlts+2,1:nSpecies) = &
(NewVertVel(-1:nAlts+2,1:nSpecies) - VertVel(-1:nAlts+2,1:nSpecies))
!!!!! END Update Cycle ========================================
!!! Set the Updated State: Stage 2
FinalLogNS = OrigLogNS + &
(1.0/6.0)*(K1LogNS + 2.0*K2LogNS + 2.0*K3LogNS + K4LogNS)
FinalLogINS = OrigLogINS + &
(1.0/6.0)*(K1LogINS + 2.0*K2LogINS + 2.0*K3LogINS + K4LogINS)
FinalLogRho = OrigLogRho + &
(1.0/6.0)*( K1LogRho + 2.0*K2LogRho + 2.0*K3LogRho + K4LogRho)
FinalVel_GD = OrigVel_GD + &
(1.0/6.0)*(K1Vel_GD + 2.0*K2Vel_GD + 2.0*K3Vel_GD + K4Vel_GD)
FinalTemp = OrigTemp + &
(1.0/6.0)*(K1Temp + 2.0*K2Temp + 2.0*K3Temp + K4Temp)
FinalVS = OrigVS + &
(1.0/6.0)*(K1VS + 2.0*K2VS + 2.0*K3VS + K4VS)
call set_vertical_bcs(FinalLogRho, FinalLogNS, FinalVel_GD, &
FinalTemp, FinalLogINS, IVel, FinalVS)
!!! Set the Updated State: Stage 2
LogNS = FinalLogNS
LogINS = FinalLogINS
LogRho = FinalLogRho
Vel_GD = FinalVel_GD
Temp = FinalTemp
VertVel = FinalVS
if (UseBarriers) call MPI_BARRIER(iCommGITM,iError)
if (iDebugLevel > 7) &
write(*,*) "========> Done with advance_vertical_1d", iproc
end subroutine advance_vertical_1d
!=============================================================================
subroutine advance_vertical_1stage( &
LogRho, LogNS, Vel_GD, Temp, NewLogRho, NewLogNS, NewVel_GD, NewTemp, &
LogINS, NewLogINS, IVel, VertVel, NewVertVel)
! With fluxes and sources based on LogRho..Temp, update NewLogRho..NewTemp
use ModGITM, only: &
Dt, iEast_, iNorth_, iUp_
use ModPlanet
use ModSizeGitm
use ModVertical, only : &
Heating, EddyCoef_1d, ViscCoef_1d,Centrifugal, Coriolis, &
MeanMajorMass_1d, Gamma_1d, InvRadialDistance_C, &
ChemSources_1d, &
Gravity_G, Altitude_G,Cv_1D, dAlt_F
use ModTime
use ModInputs
use ModConstants
use ModSources, only : EddyCondAdia
implicit none
real, intent(in) :: LogRho(-1:nAlts+2)
real, intent(in) :: LogNS(-1:nAlts+2,nSpecies)
real, intent(in) :: LogINS(-1:nAlts+2,nIonsAdvect)
real, intent(in) :: Vel_GD(-1:nAlts+2,3)
real, intent(in) :: IVel(-1:nAlts+2,3)
real, intent(in) :: Temp(-1:nAlts+2)
real, intent(in) :: VertVel(-1:nAlts+2,nSpecies)
real, intent(inout) :: NewLogRho(-1:nAlts+2)
real, intent(inout) :: NewLogNS(-1:nAlts+2,nSpecies)
real, intent(inout) :: NewLogINS(-1:nAlts+2,nIonsAdvect)
real, intent(inout) :: NewVel_GD(-1:nAlts+2,3)
real :: NewVel2_G(-1:nAlts+2)
real, intent(inout) :: NewTemp(-1:nAlts+2)
real, intent(inout) :: NewVertVel(-1:nAlts+2,nSpecies)
real :: NS(-1:nAlts+2,nSpecies), Pressure1D(-1:nAlts+2)
real :: Rho(-1:nAlts+2)
real :: LogNum(-1:nAlts+2)
real, dimension(1:nAlts) :: GradLogRho, DivVel, GradTemp, GradTempKoM, &
DiffLogRho, DiffTemp, GradTmp, DiffTmp, DiffLogNum, GradLogNum, &
DiviVel
real, dimension(1:nAlts,3) :: GradVel_CD, DiffVel_CD
real, dimension(1:nAlts,3) :: GradiVel_CD, DiffiVel_CD
real, dimension(1:nAlts,nSpecies) :: GradLogNS, DiffLogNS, &
GradVertVel, DiffVertVel, DivVertVel
real, dimension(1:nAlts,nIonsAdvect) :: GradLogINS, DiffLogINS
real :: NewSumRho, NewLogSumRho, rat, ed
integer :: iAlt, iSpecies, jSpecies, iDim
real, dimension(-1:nAlts+2) :: NT
real, dimension(-1:nAlts+2) :: Press, LogPress
real, dimension(1:nAlts) :: DiffLogPress, GradLogPress
real, dimension(1:nAlts,nSpecies) :: EddyDiffusionVel
real :: nVel(-1:nAlts+2,1:nSpecies)
integer :: nFilter, iFilter
real :: LowFilter
!! WAVEDRAG Heating Hickey et al [2000]
real, dimension(1:nAlts) :: StressHeating
!\
! Parameters Used for the Sponge
! This Sponge is useful to dampen out spurious modes
! oscillating between the bottom and top of the model.
integer :: nAltsSponge = 100
real :: kSP, NuSP, AmpSP
! JMB: COLEGROVE ADDITION
!--------------------------------------------------------------------------
!! Eddy Diffusion Variables
real, dimension(1:nAlts,nSpecies) :: GradLogConS
real, dimension(-1:nAlts+2,nSpecies) :: ConS, LogConS
real, dimension(1:nAlts,nSpecies) :: EddyCoefRatio_1d
!--------------------------------------------------------------------------
! !!! Turbulent Lapse Rate Contribution
! real, dimension(-1:nAlts+2) :: LocalEddyHeatFlux
! real, dimension(-1:nAlts+2) :: LocalLogEddyHeatFlux
! real, dimension(-1:nAlts+2) :: LocalGradLogEddyHeatFlux
!--------------------------------------------------------------------------
! 4th Order Gradients on a Non-Uniform Mesh (5-point Stencil)
!--------------------------------------------------------------------------
real :: h1, h2, h3, h4
real :: MeshH1, MeshH2, MeshH3, MeshH4
real :: MeshCoef0, MeshCoef1, &
MeshCoef2, MeshCoef3, &
MeshCoef4
! ------------------------
! JMB: AUSM Variables
real :: RhoS(-1:nAlts+2,1:nSpecies),&
NewRhoS(-1:nAlts+2,1:nSpecies),&
AUSMRhoSFluxes(1:nAlts,1:nSpecies)
real :: InvScaleHeight, MeanGravity, MeanTemp, MeanMass
real :: HydroNS(-1:nAlts+2,1:nSpecies),&
HydroRhoS(-1:nAlts+2,1:nSpecies), &
HydroNT(-1:nAlts+2),&
HydroPressureS(-1:nAlts+2,1:nSpecies),&
DeviationRhoS(-1:nAlts+2,1:nSpecies),&
DeviationRhoSRatio(-1:nAlts+2,1:nSpecies),&
HydroPressure(-1:nAlts+2), &
HydroRho(-1:nAlts+2)
! Momentum Fluxes and Variables
real :: MomentumS(-1:nAlts+2,1:nSpecies),&
NewMomentumS(-1:nAlts+2,1:nSpecies),&
Momentum(-1:nAlts+2,1:3),& ! Bulk Momentum
NewMomentum(-1:nAlts+2,1:3),& ! Bulk Momentum
AUSMMomentumSFluxes(1:nAlts,1:nSpecies), &
AUSMMomentumFluxes(1:nAlts,3)
real :: PressureS(-1:nAlts+2,1:nSpecies), &
NewNS(-1:nAlts+2,1:nSpecies), &
NewNT(-1:nAlts+2)
integer :: iIon
real :: NI(-1:nAlts+2,1:nIonsAdvect), &
AUSMRhoIFluxes(1:nAlts,1:nSpecies), &
RhoIS(-1:nAlts+2,1:nIonsAdvect), NewRhoIS(1:nAlts,1:nIonsAdvect), &
RhoI(1:nAlts), NewRhoI(1:nAlts), &
IS(-1:nAlts+2,nIonsAdvect)
real :: TotalEnergy(-1:nAlts+2),&
NewTotalEnergy(-1:nAlts+2),&
AUSMTotalEnergyFluxes(1:nAlts), &
NewPress(-1:nAlts+2), NewRho(-1:nAlts+2)
logical :: SubtractHydrostatic(-1:nAlts+2,1:nSpecies)
! Gravity-related terms
real, dimension(-1:nAlts+2) :: RadialDistance_C, &
EffectiveGravity
real :: AlphaTemp(1:nSpecies)
!!! Determines whether or not we use
! !! Used to spin up a simulation from a cold-start
real :: VelocityCap, Velocity0, TimeFactor
Velocity0 = 1.0
TimeFactor = 86400.0*2.0
VelocityCap = Velocity0 + (1.0 - exp(-tSimulation/TimeFactor))*&
(MaximumVerticalVelocity - Velocity0)
! if (maxval(abs(VertVel(1:nAlts,1:nSpecies))) .ge. 100.0) then
! UseBoquehoAndBlelly = .true.
! else
! UseBoquehoAndBlelly = .false.
! endif
! Assume Alpha T only useful for He
! Used Sutton et al. [TIEGCM updates]
nAltsSponge = floor(100.0 - 100.0*(1.0 - exp(-tSimulation/(86400.0*6.0))))
AlphaTemp(1:nSpecies) = 0.0
AlphaTemp(iHe_) = -0.38
NS = exp(LogNS)
IS = exp(LogINS)
Rho = exp(LogRho)
LogNum = alog(sum(NS,dim=2))
nFilter = 10
do iAlt = -1, nAlts + 2
RadialDistance_C(iAlt) = 1.0/InvRadialDistance_C(iAlt)
enddo
if (UseIonAdvection) then
RhoI(1:nAlts) = 0.0
do iIon = 1, nIonsAdvect
RhoIS(-1:nAlts+2,iIon) = MassI(iIon)*IS(-1:nAlts+2,iIon)
RhoI(-1:nAlts+2) = RhoI(-1:nAlts+2) + MassI(iIon)*IS(-1:nAlts+2,iIon)
enddo
endif
NT(-1:nAlts+2) = exp(LogNum(-1:nAlts+2))
do iAlt = -1, nAlts + 2
Press(iAlt) = NT(iAlt)*Boltzmanns_Constant*Temp(iAlt)
LogPress(iAlt) = alog(Press(iAlt))
enddo
call calc_rusanov_alts(LogPress ,GradLogPress, DiffLogPress)
call calc_rusanov_alts(LogRho ,GradLogRho, DiffLogRho)
call calc_rusanov_alts(LogNum ,GradLogNum, DiffLogNum)
call calc_rusanov_alts(Temp ,GradTemp, DiffTemp)
do iDim = 1, 3
call calc_rusanov_alts(Vel_GD(:,iDim), &
GradVel_CD(:,iDim),DiffVel_CD(:,iDim))
call calc_rusanov_alts(iVel(:,iDim), &
GradiVel_CD(:,iDim),DiffiVel_CD(:,iDim))
enddo
!! JMB: COLEGROVE
do iSpecies = 1, nSpecies
LogConS(-1:nAlts+2,iSpecies) = &
alog(Mass(iSpecies)*NS(-1:nAlts+2,iSpecies)/Rho(-1:nAlts+2))
enddo
! Add geometrical correction to gradient and obtain divergence
DivVel = GradVel_CD(:,iUp_) + 2*Vel_GD(1:nAlts,iUp_)*&
InvRadialDistance_C(1:nAlts)
! JMB: Changed InvRadialDistance Size
DiviVel = GradiVel_CD(:,iUp_) + 2*iVel(1:nAlts,iUp_)*&
InvRadialDistance_C(1:nAlts)
do iSpecies=1,nSpecies
call calc_rusanov_alts(LogNS(:,iSpecies),GradTmp, DiffTmp)
GradLogNS(:,iSpecies) = GradTmp
DiffLogNS(:,iSpecies) = DiffTmp
call calc_rusanov_alts(VertVel(:,iSpecies),GradTmp, DiffTmp)
GradVertVel(:,iSpecies) = GradTmp
DiffVertVel(:,iSpecies) = DiffTmp
DivVertVel(:,iSpecies) = GradVertVel(:,iSpecies) + &
2*VertVel(1:nAlts,iSpecies)*InvRadialDistance_C(1:nAlts)
enddo
do iSpecies=1,nIonsAdvect
call calc_rusanov_alts(LogINS(:,iSpecies), GradTmp, DiffTmp)
GradLogINS(:,iSpecies) = GradTmp
DiffLogINS(:,iSpecies) = DiffTmp
enddo
!!! JMB: COLEGROVE ADDITION
!!! Add the Grad Log Con Variable
if (UseBoquehoAndBlelly) then
do iAlt = 1, nAlts
do iSpecies = 1, nSpecies
GradLogConS(iAlt,iSpecies) = &
-1.0*Gravity_G(iAlt)*&
(1.0 - (MeanMajorMass_1d(iAlt)/Mass(iSpecies)) )
enddo
enddo
else
do iAlt = 1, nAlts
h1 = dAlt_F(iAlt-1)
h2 = dAlt_F(iAlt+0)
h3 = dAlt_F(iAlt+1)
h4 = dAlt_F(iAlt+2)
MeshH2 = h2 + h1
MeshH3 = h3 + h2 + h1
MeshH4 = h4 + h3 + h2 + h1
MeshCoef0 = (h2*h3*(h3+h4))/(h1*MeshH2*MeshH3*MeshH4)
MeshCoef1 = -1.0*(MeshH2*h3*(h3 + h4))/(h1*h2*(h2+h3)*(h2+h3+h4))
MeshCoef3 = MeshH2*h2*(h4 + h3)/(MeshH3*(h2+h3)*h3*h4)
MeshCoef4 = -1.0*MeshH2*h2*h3/(MeshH4*(h2+h3+h4)*(h3+h4)*h4)
MeshCoef2 = (h2*h3*(h3+h4) + &
MeshH2*h3*(h3+h4) - &
MeshH2*h2*(h3+h4) - &
MeshH2*h2*h3)/&
(MeshH2*h2*h3*(h3+h4))
do iSpecies = 1, nSpecies
GradLogConS(iAlt,iSpecies) = &
MeshCoef0*LogConS(iAlt-2,iSpecies)&
+ MeshCoef1*LogConS(iAlt-1,iSpecies)&
+ MeshCoef2*LogConS(iAlt ,iSpecies)&
+ MeshCoef3*LogConS(iAlt+1,iSpecies)&
+ MeshCoef4*LogConS(iAlt+2,iSpecies)
enddo ! iSpecies Loop
! endif
enddo ! iAlt Loop
endif
!!!! JMB AUSM: BEGIN THE HYDROSTATIC BACKGROUND
!!!! We define a hydrostatic background to subtract off
!!!! this removes errors introduced in the Grad(P) - rho*g
!!!! that reduces the accuracy of non-hydrostatic calculations.
HydroNS(-1:nAlts+2,1:nSpecies) = NS(-1:nAlts+2,1:nSpecies)
HydroNT(-1:nAlts+2) = NT(-1:nAlts+2)
!!! Wrap all secondary accelerations into the background
!!! effective gravity
do iAlt = -1, nAlts + 2
! Include only centrifugal and gravity.....
EffectiveGravity(iAlt) = &
Gravity_G(iAlt) + Centrifugal*RadialDistance_C(iAlt)
! write(*,*) 'iAlt, EffectiveGravity =', iAlt, EffectiveGravity(iAlt)
enddo
!stop
!!! Calculate the Bulk Hydrostatic Density (NT)
do iAlt = 1, nAlts + 2
MeanMass = 0.5*(MeanMajorMass_1d(iAlt-1) + MeanMajorMass_1d(iAlt))
MeanGravity = 0.5*( EffectiveGravity(iAlt) + EffectiveGravity(iAlt-1) )
MeanTemp = 0.5*( Temp(iAlt) + Temp(iAlt-1) )
InvScaleHeight = -1.0* MeanMass*MeanGravity/&
(Boltzmanns_Constant*MeanTemp)
HydroNT(iAlt) = HydroNT(iAlt-1)*(Temp(iAlt-1)/Temp(iAlt))*&
exp (-1.0*dAlt_F(iAlt)*InvScaleHeight)
enddo
iAlt = -1
MeanMass = 0.5*( MeanMajorMass_1d(-1) + MeanMajorMass_1d(0))
MeanGravity = 0.5*( EffectiveGravity(iAlt+1) + EffectiveGravity(iAlt) )
MeanTemp = 0.5*( Temp(iAlt+1) + Temp(iAlt) )
InvScaleHeight = -1.0* MeanMass*MeanGravity/&
(Boltzmanns_Constant*MeanTemp)
HydroNT(iAlt) = HydroNT(iAlt+1)*(Temp(iAlt+1)/Temp(iAlt))*&
exp(dAlt_F(iAlt)*InvScaleHeight)
!!! Calculate a Background Atmosphere for each species
!!! Note: This really only works for the major species
!!! which is fine, since minor species will have large difference
!!! Grad(P) - rho*g terms and are not subject to the same level
!!! of sensitivity.
do iSpecies = 1, nSpecies
do iAlt = 1, nAlts + 2
MeanMass = Mass(iSpecies)
MeanGravity = 0.5*( EffectiveGravity(iAlt) + EffectiveGravity(iAlt-1) )
MeanTemp = 0.5*( Temp(iAlt) + Temp(iAlt-1) )
InvScaleHeight = -1.0* MeanMass*MeanGravity/&
(Boltzmanns_Constant*MeanTemp)
HydroNS(iAlt,iSpecies) = &
HydroNS(iAlt-1,iSpecies)*(Temp(iAlt-1)/Temp(iAlt))*&
exp (-1.0*dAlt_F(iAlt)*InvScaleHeight)
enddo
enddo
! Extend the densities downward with the mean mass of the atmosphere
do iSpecies = 1, nSpecies
iAlt = -1
MeanMass = 0.5*( MeanMajorMass_1d(-1) + MeanMajorMass_1d(0))
MeanGravity = 0.5*( EffectiveGravity(iAlt+1) + EffectiveGravity(iAlt) )
MeanTemp = 0.5*( Temp(iAlt+1) + Temp(iAlt) )
InvScaleHeight = -1.0* MeanMass*MeanGravity/&
(Boltzmanns_Constant*MeanTemp)
HydroNS(iAlt,iSpecies) = &
HydroNS(iAlt+1,iSpecies)*(Temp(iAlt+1)/Temp(iAlt))*&
exp(dAlt_F(iAlt)*InvScaleHeight)
enddo
do iAlt = -1, nAlts + 2
do iSpecies = 1, nSpecies
HydroPressureS(iAlt,iSpecies) = &
HydroNS(iAlt,iSpecies)*Boltzmanns_Constant*Temp(iAlt)
HydroRhoS(iAlt,iSpecies) = Mass(iSpecies)*HydroNS(iAlt,iSpecies)
enddo
HydroPressure(iAlt) = HydroNT(iAlt)*Boltzmanns_Constant*Temp(iAlt)
HydroRho(iAlt) = HydroNT(iAlt)*MeanMajorMass_1d(iAlt)
enddo
do iSpecies = 1, nSpecies
RhoS(-1:nAlts+2,iSpecies) = &
Mass(iSpecies)*NS(-1:nAlts+2,iSpecies)
NewRhoS(-1:nAlts+2,iSpecies) = RhoS(-1:nAlts+2,iSpecies)
MomentumS(-1:nAlts+2,iSpecies) = &
Mass(iSpecies)*NS(-1:nAlts+2,iSpecies)*&
VertVel(-1:nAlts+2,iSpecies)
PressureS(-1:nAlts+2,iSpecies) = &
NS(-1:nAlts+2,iSpecies)*Temp(-1:nAlts+2)*&
Boltzmanns_Constant
enddo
!!! ==========================
do iAlt = -1, nAlts + 2
TotalEnergy(iAlt) = &
Press(iAlt)/(Gamma_1d(iAlt) - 1.0)
enddo
do iDim = 1, 3
Momentum(-1:nAlts+2,iDim) = Rho(-1:nAlts+2)*Vel_GD(-1:nAlts+2,iDim)
enddo
DeviationRhoSRatio(-1:nAlts+2,1:nSpecies) = &
abs(RhoS(-1:nAlts+2,1:nSpecies) - &
HydroRhoS(-1:nAlts+2,1:nSpecies))/&
RhoS(-1:nAlts+2,1:nSpecies)
DeviationRhoS(-1:nAlts+2,1:nSpecies) = &
RhoS(-1:nAlts+2, 1:nSpecies) - &
HydroRhoS(-1:nAlts+2,1:nSpecies)
do iAlt = -1, nAlts + 2
do iSpecies = 1, nSpecies
if ( abs(DeviationRhoSRatio(iAlt,iSpecies)) .gt. 1.0) then
SubtractHydrostatic(iAlt,iSpecies) = .false.
else
SubtractHydrostatic(iAlt,iSpecies) = .true.
endif
enddo
! write(*,*) 'iAlt, DeviationRho, SubtractHydro =', iAlt, DeviationRhoSRatio(iAlt,1), SubtractHydrostatic(iAlt,1)
enddo
! SubtractHydrostatic(-1:nAlts+2,iCO2_) = .true.
NewRho = Rho
NewPress = Press
NewTotalEnergy = TotalEnergy
! do iSpecies = 1, nSpecies
! write(*,*) 'SPECIES: ', cSpecies(iSpecies)
! do iAlt = -1, nAlts+2
! write(*,*) 'iAlt, RhoS=', iAlt, RhoS(iAlt,iSpecies)
! enddo
! enddo
call calc_all_fluxes_hydro(RhoS, PressureS, HydroPressureS, HydroRhoS, &
HydroPressure, HydroRho, RhoIS, IVel, &
AUSMRhoSFluxes, AUSMMomentumSFluxes, &
AUSMTotalEnergyFluxes, AUSMMomentumFluxes, &
AUSMRhoIFluxes, &
RadialDistance_C, SubtractHydrostatic)
AmpSP = (1.0/(10.0*Dt))
! do iSpecies = 1, nSpecies
! write(*,*) 'SPECIES: ', cSpecies(iSpecies)
! do iAlt = -1, nAlts+2
! write(*,*) 'iAlt, RhoSFluxes=', iAlt, AUSMRhoSFluxes(iAlt,iSpecies)
! enddo
! enddo
!
!stop
AmpSP = (1.0/(10.0*Dt))
kSP = nAltsSponge + 1
do iAlt = 1,nAlts
NewLogRho(iAlt) = LogRho(iAlt) - Dt * &
(DivVel(iAlt) + Vel_GD(iAlt,iUp_) * GradLogRho(iAlt) ) &
+ Dt * DiffLogRho(iAlt)
! do iSpecies=1,nSpecies
! NewLogNS(iAlt,iSpecies) = LogNS(iAlt,iSpecies) - Dt * &
! (DivVertVel(iAlt,iSpecies) + &
! VertVel(iAlt,iSpecies) * GradLogNS(iAlt,iSpecies) ) + &
! Dt * DiffLogNS(iAlt,iSpecies)
! enddo
do iSpecies=1,nSpecies
! NewLogNS(iAlt,iSpecies) = LogNS(iAlt,iSpecies) - Dt * &
! (DivVertVel(iAlt,iSpecies) + &
! VertVel(iAlt,iSpecies) * GradLogNS(iAlt,iSpecies) ) + &
! Dt * DiffLogNS(iAlt,iSpecies)
NewRhoS(iAlt,iSpecies) = RhoS(iAlt,iSpecies) &
- Dt*(AUSMRhoSFluxes(iAlt,iSpecies))
NewLogNS(iAlt,iSpecies) = alog( NewRhoS(iAlt,iSpecies)/Mass(iSpecies) )
enddo
do iSpecies=1,nIonsAdvect
! if (UseImprovedIonAdvection) then
! NewLogINS(iAlt,iSpecies) = NewLogINS(iAlt,iSpecies) - Dt * &
! (DiviVel(iAlt) * LogINS(iAlt,iSpecies) + &
! IVel(iAlt,iUp_) * GradLogINS(iAlt,iSpecies) ) &
! + Dt * DiffLogINS(iAlt,iSpecies)
! NewRhoIS(iAlt,iSpecies) = RhoIS(iAlt,iSpecies) &
! - Dt*(AUSMRhoIFluxes(iAlt,iSpecies))
!
! NewLogINS(iAlt,iSpecies) = alog( NewRhoIS(iAlt,iSpecies)/MassI(iSpecies) )
!
! else
!
NewLogINS(iAlt,iSpecies) = NewLogINS(iAlt,iSpecies) - Dt * &
(IVel(iAlt,iUp_) * GradLogINS(iAlt,iSpecies) ) &
+ Dt * DiffLogINS(iAlt,iSpecies)
! NewRhoIS(iAlt,iSpecies) = RhoIS(iAlt,iSpecies) &
! - Dt*(AUSMRhoIFluxes(iAlt,iSpecies))
!
! NewLogINS(iAlt,iSpecies) = alog( NewRhoIS(iAlt,iSpecies)/MassI(iSpecies) )
! endif
enddo ! nIonsAdvect
enddo !iAlt = 1,nAlts
NewNS = 0.0
NewNT = 0.0
NewRho = 0.0
do iAlt = -1, nAlts+2
do iSpecies = 1, nSpecies
NewNS(iAlt,iSpecies) = NewRhoS(iAlt,iSpecies)/Mass(iSpecies)
NewRho(iAlt) = NewRho(iAlt) + &
NewRhoS(iAlt,iSpecies)
NewNT(iAlt) = NewNT(iAlt) + &
NewNS(iAlt,iSpecies)
enddo
enddo
! ! dVr/dt = -[ (V grad V)_r + grad T + T grad ln Rho - g ]
! ! and V grad V contains the centripetal acceleration
! ! (Vphi**2+Vtheta**2)/R
! NewVel_GD(iAlt,iUp_) = NewVel_GD(iAlt,iUp_) - Dt * &
! (Vel_GD(iAlt,iUp_)*GradVel_CD(iAlt,iUp_) &
! - (Vel_GD(iAlt,iNorth_)**2 + Vel_GD(iAlt,iEast_)**2) &
! * InvRadialDistance_C(iAlt) &
! - Gravity_G(iAlt)) &
! + Dt * DiffVel_CD(iAlt,iUp_)
do iAlt =1, nAlts
NewVel_GD(iAlt,iUp_) = 0.0
if (iAlt >= (nAlts - nAltsSponge)) then
NuSP = AmpSP*(1.0 - cos( pi*(kSP - (nAlts - iAlt))/kSP) )
else
NuSP = 0.0
endif
if (UseDamping) then
VertTau(iAlt) = &
15 - (1 - exp(-1.0*altitude_G(ialt)/1000.0/40.0))*5.0
endif
do iSpecies=1,nSpecies
!The tau term was added as a vertical wind damping term
! Version of vertical velocity with grad(p) and g here :
!NewVertVel(iAlt, iSpecies) = VertVel(iAlt, iSpecies) - Dt * &
! (VertVel(iAlt,iSpecies)*GradVertVel(iAlt,iSpecies) &
! - (Vel_GD(iAlt,iNorth_)**2 + Vel_GD(iAlt,iEast_)**2) &
! * InvRadialDistance_C(iAlt) + &
! Temp(iAlt)*GradLogNS(iAlt,iSpecies) * Boltzmanns_Constant / &
! Mass(iSpecies) + &
! GradTemp(iAlt) * Boltzmanns_Constant / Mass(iSpecies) &
! - Gravity_G(iAlt)) &
! + Dt * DiffVertVel(iAlt,iSpecies) - VertVel(ialt,iSpecies)/VertTau(ialt)
!
if (SubtractHydrostatic(iAlt,iSpecies) .eq. .false.) then
NewMomentumS(iAlt,iSpecies) = MomentumS(iAlt,iSpecies) - &
Dt*(AUSMMomentumSFluxes(iAlt,iSpecies)) + &
Dt*RhoS(iAlt,iSpecies)*EffectiveGravity(iAlt)
else
NewMomentumS(iAlt,iSpecies) = MomentumS(iAlt,iSpecies) - &
Dt*(AUSMMomentumSFluxes(iAlt,iSpecies)) + &
Dt*DeviationRhoS(iAlt,iSpecies)*EffectiveGravity(iAlt)
endif
NewMomentumS(iAlt,iSpecies) = NewMomentumS(iAlt,iSpecies) + &
Dt*ChemSources_1d(iAlt,iSpecies)*&
VertVel(iAlt,iSpecies)*Mass(iSpecies)
NewVertVel(iAlt,iSpecies) = &
NewMomentumS(iAlt,iSpecies)/NewRhoS(iAlt,iSpecies)
NewVertVel(iAlt,iSpecies) = &
NewVertVel(iAlt,iSpecies) - Dt*NuSP*VertVel(iAlt,iSpecies)
! Add Explicit Spherical Curvature Terms here
NewVertVel(iAlt,iSpecies) = &
NewVertVel(iAlt,iSpecies) + Dt*&
(Vel_GD(iAlt,iNorth_)**2 + Vel_GD(iAlt,iEast_)**2) &
* InvRadialDistance_C(iAlt)
if (UseCoriolis) then
NewVertVel(iAlt,ispecies) = NewVertVel(iAlt,ispecies) + &
Dt * Coriolis * Vel_GD(iAlt,iEast_)
endif
enddo ! iSpecies
! ! Thermal Diffusion Effects (He Only!)
! NewVertVel(iAlt,iHe_) = &
! NewVertVel(iAlt,iHe_) - &
! Dt*(AlphaTemp(iHe_)*Boltzmanns_Constant*&
! GradTemp(iAlt))/Mass(iHe_)
!
enddo !iAlt Loop
! Both Flags set in the Input File
if (UseNeutralFriction .and. UseNeutralFrictionInSolver) then
nVel(-1:nAlts+2,1:nSpecies) = NewVertVel(-1:nAlts+2,1:nSpecies)
call calc_neutral_friction(nVel(1:nAlts,1:nSpecies), &
EddyCoef_1d(1:nAlts), &
NT(1:nAlts), &
NS(1:nAlts,1:nSpecies), &
GradLogConS(1:nAlts,1:nSpecies), &
EddyCoefRatio_1d(1:nAlts,1:nSpecies), &
Temp(1:nAlts), Gravity_G(1:nAlts) )
NewVertVel(1:nAlts,1:nSpecies) = nVel(1:nAlts,1:nSpecies)