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LambDipole.f90
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LambDipole.f90
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program LambTest
use NumberKindsModule
use LoggerModule
use PlaneMeshModule
use PlaneOutputModule
use PlaneVorticityModule
use PlaneDirectSumModule
use PlaneTracerModule
use PlaneRemeshModule
use BIVARInterfaceModule
implicit none
include 'mpif.h'
!
! mesh variables
!
type(PlaneMesh) :: mesh
integer(kint) :: initNest, AMR, nTracer
real(kreal) :: xmin, xmax, ymin, ymax
integer(kint) :: boundaryType = FREE_BOUNDARIES
!
! vorticity variables
!
type(VorticitySetup) :: lamb
real(kreal) :: xc, yc, rad, u0
!
! tracer variables
!
type(TracerSetup) :: noTracer
!
! remeshing / refinement variables
!
type(RemeshSetup) :: remesh
real(kreal) :: maxCircTol, vortVarTol, lagVarTol
integer(kint) :: amrlimit, remeshInterval, remeshCounter, resetAlphaInterval
type(BIVARSetup) :: reference
!
! timestepping variables
!
type(PlaneRK4DirectSum) :: timekeeper
real(kreal) :: dt, tfinal
integer(kint) :: timeJ, timesteps
!
! computation and error calculation variables
!
real(kreal), allocatable :: totalKE(:), totalEnstrophy(:), totalCirc(:)
!
! input / output variables
!
type(PlaneOutput) :: meshOut
character(len=MAX_STRING_LENGTH) :: filename, fileroot, outputDir, jobPrefix, summaryFile
character(len=128) :: namelistInputFile = 'LambDipole.namelist'
!
! computing environment variables
!
type(Logger) :: exeLog
character(len=MAX_STRING_LENGTH) :: logstring
integer(kint) :: mpiErrCode
real(kreal) :: wallclock
integer(kint), parameter :: BCAST_INT_SIZE = 5, BCAST_REAL_SIZE = 9
integer(kint) :: broadcastIntegers(BCAST_INT_SIZE)
real(kreal) :: broadcastReals(BCAST_REAL_SIZE)
integer(kint) :: j, writestat
!
! namelists
!
namelist /meshDefine/ initNest, AMR, amrLimit
namelist /vorticityDefine/ u0, rad, xc, yc
namelist /timestepping/ dt, tfinal
namelist /remeshing/ maxCircTol, vortVarTol, lagVarTol, remeshInterval, resetAlphaInterval
namelist /fileIO/ outputDir, jobPrefix
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! INITIALIZE COMPUTER, MESH, TEST CASE
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
call MPI_INIT(mpiErrCode)
call MPI_COMM_SIZE(MPI_COMM_WORLD,numProcs,mpiErrCode)
call MPI_COMM_RANK(MPI_COMM_WORLD,procRank,mpiErrCode)
call New(exeLog,DEBUG_LOGGING_LEVEL)
wallclock = MPI_WTIME()
! mesh definition variables
xmin = -2.0_kreal
xmax = 2.0_kreal
ymin = -2.0_kreal
ymax = 2.0_kreal
nTracer = 2
call ReadNamelistFile(procRank)
! i/o variables
if ( procRank == 0 ) write(filename,'(A,I0.4,A)') trim(fileroot), 0, '.vtk'
!
! build the initial mesh
!
call New(mesh,initNest,AMR,nTracer)
call InitializeRectangle(mesh,xmin,xmax,ymin,ymax,boundaryType)
write(logstring,'(A,I1,A,F16.12)') 'nest = ', initNest, ' , total area = ', TotalArea(mesh)
call LogMessage(exeLog,TRACE_LOGGING_LEVEL,'mesh info ', logstring)
!
! initialize vorticity
!
call New(lamb, LAMB_DIPOLE_N_INT, LAMB_DIPOLE_N_REAL)
call InitLambDipole(lamb, rad, u0, xc, yc)
call SetLambDipoleOnMesh(mesh, lamb)
!
! initialize remesher
!
call ConvertToRelativeTolerances(mesh, maxCircTol, vortVarTol, lagVarTol)
call LogMessage(exeLog, TRACE_LOGGING_LEVEL, 'maxCircTol = ', maxCircTol)
call LogMessage(exeLog, TRACE_LOGGING_LEVEL, 'vortVarTol = ', vortVarTol)
call LogMessage(exeLog, TRACE_LOGGING_LEVEL, 'lagVarTol = ', lagVarTol)
call New(remesh, maxCircTol, vortVarTol, lagVarTol, amrlimit)
if ( AMR > 0 ) then
call InitialRefinement(mesh, remesh, nullTracer, noTracer, SetLambDipoleOnMesh, lamb)
endif
call StoreLagrangianXCoordinateInTracer(mesh, 1)
!
! initialize output
!
if ( procRank == 0 ) then
call New(meshOut,mesh,filename)
call LogStats(mesh,exeLog)
call OutputForVTK(meshOut,mesh)
endif
!
! initialize timestepping
!
call New(timekeeper, mesh, numProcs)
timesteps = floor(tfinal / dt)
remeshCounter = 0
allocate(totalCirc(0:timesteps))
allocate(totalEnstrophy(0:timesteps))
allocate(totalKE(0:timesteps))
totalCirc = 0.0_kreal
totalEnstrophy = 0.0_kreal
totalKE = 0.0_kreal
totalCirc(0) = GetTotalCirculation(mesh)
totalEnstrophy(0) = GetTotalEnstrophy(mesh)
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! RUN THE PROBLEM
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
do timeJ = 0, timesteps - 1
!
! remesh if necessary
!
if ( mod(timeJ+1, remeshInterval) == 0 ) then
remeshCounter = remeshCounter + 1
!
! perform the appropriate remeshing procedure
!
if ( remeshCounter < resetAlphaInterval ) then
!
! remesh to t = 0
!
call LagrangianRemeshToInitialTime( mesh, remesh, SetLambDipoleOnMesh, lamb, nullTracer, noTracer)
call StoreLagrangianXCoordinateInTracer(mesh, 1)
elseif ( remeshCounter == resetAlphaInterval ) then
!
! remesh to t = 0, create new reference mesh
!
call LagrangianRemeshToInitialTime( mesh, remesh, SetLambDipoleOnMesh, lamb, nullTracer, noTracer)
call StoreLagrangianXCoordinateInTracer(mesh, 1)
call New(reference, mesh)
call LogMessage(exeLog,TRACE_LOGGING_LEVEL,'resetAlpha : ','ReferenceMesh created.')
call ResetLagrangianParameter(reference)
call ResetLagrangianParameter(mesh)
elseif ( remeshCounter > resetAlphaInterval .AND. mod(remeshCounter, resetAlphaInterval) == 0 ) then
!
! remesh to previous reference time, create new reference mesh
!
call LagrangianRemeshToReferenceTime(mesh, reference, remesh)
call Delete(reference)
call New(reference, mesh)
call ResetLagrangianParameter(reference)
call ResetLagrangianParameter(mesh)
else
!
! remesh to reference
!
call LagrangianRemeshToReferenceTime(mesh, reference, remesh)
endif
!
! delete objects associated with old mesh
!
call Delete(timekeeper)
if ( procRank == 0 ) call Delete(meshOut)
!
! create new objects for new mesh
!
call New(timekeeper, mesh, numProcs)
if ( procRank == 0 ) then
call New(meshOut, mesh, filename)
endif
endif
!
! increment time
!
call RK4TimestepNoRotation( timekeeper, mesh, dt, procRank, numProcs)
!
! compute integral invariants
!
totalCirc(timeJ+1) = GetTotalCirculation(mesh)
totalEnstrophy(timeJ+1) = GetTotalEnstrophy(mesh)
totalKE(timeJ+1) = GetTotalKE(mesh)
if ( timeJ == 0 ) totalKE(0) = totalKE(timeJ+1)
!
! output timestep data
!
if ( procRank == 0 ) then
call LogMessage(exeLog, TRACE_LOGGING_LEVEL, ' t = ', real(timeJ+1,kreal) * dt)
write(filename,'(A,I0.4,A)') trim(fileroot), timeJ+1, '.vtk'
call UpdateFilename(meshOut, filename)
call OutputForVTK(meshout,mesh)
endif
enddo
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! OUTPUT FINAL DATA
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
if ( procRank == 0 ) then
write(summaryFile,'(A,A)') trim(fileRoot), '_summary.txt'
open(unit=WRITE_UNIT_1,file=summaryFile,status='REPLACE',action='WRITE', iostat=writestat)
if (writestat == 0 ) then
write(WRITE_UNIT_1,'(4A24)') 't ', 'totalCirc', 'totalKE', 'totalEns'
do j = 0, timesteps
write(WRITE_UNIT_1,'(4F24.12)') j*dt, totalCirc(j), totalKE(j), totalEnstrophy(j)
enddo
else
call LogMessage(exeLog,ERROR_LOGGING_LEVEL,'summaryFile ERROR : ','cannot open datafile.')
endif
close(WRITE_UNIT_1)
write(logstring,'(A, F8.2,A)') 'elapsed time = ', (MPI_WTIME() - wallClock)/60.0, ' minutes.'
call LogMessage(exelog,TRACE_LOGGING_LEVEL,'PROGRAM COMPLETE : ',trim(logstring))
endif
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
! FREE MEMORY, CLEAN UP, FINALIZE
!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
deallocate(totalCirc)
deallocate(totalEnstrophy)
deallocate(totalKE)
call Delete(lamb)
call Delete(mesh)
call Delete(remesh)
call Delete(meshOut)
call Delete(exelog)
call MPI_FINALIZE(mpiErrCode)
contains
subroutine ReadNamelistFile(rank)
integer(kint), intent(in) :: rank
!
integer(kint) :: readStat
if ( rank == 0 ) then
open(unit = READ_UNIT, file=namelistInputFile, status='OLD', action='READ', iostat=readStat )
if ( readstat /= 0 ) then
stop 'cannot read namelist file.'
endif
read(READ_UNIT,nml=meshDefine)
rewind(READ_UNIT)
read(READ_UNIT,nml=timestepping)
rewind(READ_UNIT)
read(READ_UNIT,nml=remeshing)
rewind(READ_UNIT)
read(READ_UNIT,nml=fileIO)
rewind(READ_UNIT)
read(READ_UNIT, nml=vorticityDefine)
close(READ_UNIT)
broadcastIntegers(1) = initNest
broadcastIntegers(2) = AMR
broadcastIntegers(3) = amrLimit
broadcastIntegers(4) = remeshInterval
broadcastIntegers(5) = resetAlphaInterval
broadcastReals(1) = dt
broadcastReals(2) = tfinal
broadcastReals(3) = maxCircTol
broadcastReals(4) = vortVarTol
broadcastReals(5) = lagVarTol
broadcastReals(6) = u0
broadcastReals(7) = rad
broadcastReals(8) = xc
broadcastReals(9) = yc
write(fileRoot,'(4A)') trim(outputDir), 'vtkOut/', trim(jobPrefix), '_'
endif
call MPI_BCAST(broadcastIntegers, BCAST_INT_SIZE, MPI_INTEGER, 0, MPI_COMM_WORLD, mpiErrCode)
initNest = broadcastIntegers(1)
AMR = broadcastIntegers(2)
amrLimit = broadcastIntegers(3)
remeshInterval = broadcastIntegers(4)
resetAlphaInterval = broadcastIntegers(5)
call MPI_BCAST(broadcastReals, BCAST_REAL_SIZE, MPI_DOUBLE_PRECISION, 0, MPI_COMM_WORLD, mpiErrCode)
dt = broadcastReals(1)
tfinal = broadcastReals(2)
maxCircTol = broadcastReals(3)
vortVarTol = broadcastReals(4)
lagVarTol = broadcastReals(5)
u0 = broadcastReals(6)
rad = broadcastReals(7)
xc = broadcastReals(8)
yc = broadcastReals(9)
end subroutine
subroutine ConvertToRelativeTolerances(aMesh, maxCircTol, vortVarTol, lagVarTol)
type(PlaneMesh), intent(in) :: aMesh
real(kreal), intent(inout) :: maxCircTol, vortVarTol, lagVarTol
maxCircTol = maxCircTol * MaximumCirculation(aMesh)
vortVarTol = vortVarTol * MaximumVorticityVariation(aMesh)
lagVarTol = lagVarTol * MaximumLagrangianParameterVariation(aMesh)
end subroutine
subroutine StoreLagrangianXCoordinateInTracer(aMesh, tracerID)
use ParticlesModule
use PanelsModule
implicit none
type(PlaneMesh), intent(inout) :: aMesh
integer(kint), intent(in) :: tracerID
!
integer(kint) :: j
type(Particles), pointer :: aParticles
type(Panels), pointer :: aPanels
aParticles => aMesh%particles
aPanels => aMesh%panels
do j = 1, aParticles%N
aParticles%tracer(j, tracerID) = aParticles%x0(1,j)
enddo
do j = 1, aPanels%N
aPanels%tracer(j, tracerID) = aPanels%x0(1,j)
enddo
end subroutine
end program