periodic_convection_imexbdf4_p100.py 9.28 KB
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from dgpy import *
from math import *
import time, os, sys
import gmshPartition
import numpy as np

exportData=0
outFile=open('periodic_convection_2d_imexbdf4_poly4_200s.dat','w')

#### Physical constants ###
gamma=1.4
Rd=287.0
p0=1.0e5
g=9.80616
Cv=Rd/(gamma-1.0)
Cp=Rd*(1.0+1.0/(gamma-1.0))
###########################
#### Begin and end time ###
Ti=0.0
Tf=200.0
###########################

#Period of the oscillations
period = 100


order=4
dimension=2

model = GModel()
name='line'
if Msg.GetCommSize()>1:
  partStr='_part_%i' % Msg.GetCommSize()
else:
  partStr=''
model.load(name + partStr + '_2d_XY.msh')

#############  for convergence plot################
###################################################
errp=[]
erru=[]
errv=[]
errthetap=[]
errall=[]
stepsizes=[]

groups = dgGroupCollection(model, dimension, order)
groups.splitGroupsByPhysicalTag();

claw = dgEulerAtmLaw(dimension)
####Load reference solution from file###
reloaded =dgDofContainer(groups,claw.getNbFields())
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reloaded.importIdx("refSolERK"+str(period)+"/subwindow4/subwindow4.idx")
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solution = dgDofContainer(groups, claw.getNbFields())

XYZ = groups.getFunctionCoordinates();

def initialCondition(cmap, FCT,  XYZ) :
    FCT[:,:] = 0

def boundaryForcing(cmap, FCT, XYZ, time, rhoHs, thetaHs) :
    thetac=5
    xc=500.0
    zc=0.0
    rc=250.0
    currentTime=time[0]
    r=np.sqrt((XYZ[:,0]-xc)**2+(XYZ[:,1]-zc)**2)
    thetaPert=np.empty(thetaHs.shape)
    outR=(r>rc)
    thetaPert[outR]=thetaHs[outR]
    inR=np.invert(outR)
    thetaPert[inR]=thetaHs[inR]+thetac/2.0*(1.0+np.cos(pi*r[inR]/rc))*np.sin(currentTime/period*2.0*pi)**2
    FCT[:,0]=0
    FCT[:,1]=0
    FCT[:,2]=0
    FCT[:,3]=rhoHs*thetaPert-rhoHs*thetaHs
def thetaHydrostatic(cmap, FCT) :
    FCT[:]=300

def exnerHydrostatic(cmap, FCT,  XYZ, thetaHs) :
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    FCT[:]=1.0-g/(Cp*thetaHs)*XYZ[:,1]
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def rhoHydrostatic(cmap, FCT, thetaHs, exnerHs) :
    FCT[:]=p0/(Rd*thetaHs)*exnerHs**(Cv/Rd)

def rhoThetaHydrostatic(cmap, FCT, rhoHs, thetaHs) :
    FCT[:]=rhoHs*thetaHs

def getVelocity(cmap, FCT, sol, rhoHs) :
    invrho=1/(rhoHs+sol[:,0])
    FCT[:,0]=sol[:,1]*invrho
    FCT[:,1]=sol[:,2]*invrho
    FCT[:,2]=0

def getRhop(cmap, FCT, sol) :
    FCT[:]=sol[:,0]

def getpp(cmap, FCT, sol, rhoHs, thetaHs) :
    rho=rhoHs+sol[:,0]
    rhoTheta = rhoHs*thetaHs+sol[:,3]
    pHs=p0*(rhoHs*thetaHs*Rd/p0)**gamma
    p=p0*(rhoTheta*Rd/p0)**gamma
    FCT[:]=p-pHs

def getpHs(cmap, FCT, sol, rhoHs, thetaHs) :
    pHs=p0*(rhoHs*thetaHs*Rd/p0)**gamma
    FCT[:]=pHs

def getp(cmap, FCT, sol, rhoHs, thetaHs) :
    rhoTheta = rhoHs*thetaHs+sol[:,3]
    p=p0*(rhoTheta*Rd/p0)**gamma
    FCT[:]=p

def getThetap(cmap, FCT, sol, rhoHs, thetaHs) :
    rho=rhoHs+sol[:,0]
    FCT[:]=(sol[:,3]+(rhoHs*thetaHs))/rho-thetaHs

thetaHsC = functionNumpy(1, thetaHydrostatic,[])
exnerHsC = functionNumpy(1, exnerHydrostatic, [XYZ, thetaHsC])
rhoHsC = functionNumpy(1, rhoHydrostatic, [thetaHsC, exnerHsC])
rhoThetaHsC = functionNumpy(1, rhoThetaHydrostatic, [rhoHsC, thetaHsC])

uv=functionNumpy(3, getVelocity, [solution.getFunction(), rhoHsC])
rhop=functionNumpy(1, getRhop, [solution.getFunction()])
pp=functionNumpy(1, getpp, [solution.getFunction(), rhoHsC, thetaHsC])
thetap=functionNumpy(1, getThetap, [solution.getFunction(), rhoHsC, thetaHsC])

initF=functionNumpy(claw.getNbFields(), initialCondition, [XYZ])
solution.interpolate(initF)

rhoHs = dgDofContainer(groups, 1)
rhoHs.interpolate(rhoHsC)
rhoThetaHs = dgDofContainer(groups, 1)
rhoThetaHs.interpolate(rhoThetaHsC)

claw.setHydrostaticState(rhoHs,rhoThetaHs)
claw.setPhysicalConstants(gamma,Rd,p0,g)

boundaryWall = claw.newBoundaryWall()
timeFunction = function.getTime()
boundaryForcingF=functionNumpy(4, boundaryForcing, [XYZ, timeFunction, rhoHsC, thetaHsC])
toReplace = VectorFunctorConst([function.getSolution()])
replaceBy = VectorFunctorConst([boundaryForcingF])
boundaryHeated = claw.newOutsideValueBoundaryGeneric("",toReplace,replaceBy)
claw.addBoundaryCondition('bottom_domain', boundaryWall)
claw.addBoundaryCondition('top_domain', boundaryHeated) #top is actually bottom due to the inverse extrusion
claw.addBoundaryCondition('left', boundaryWall)
claw.addBoundaryCondition('right', boundaryWall)

claw.setFilterMode(FILTER_LINEAR)

solution0 = dgDofContainer(groups, claw.getNbFields())
solution0.copy(solution)

nbStepsList = [400, 600, 900, 1350, 2025, 3037, 4555, 6832, 10248]
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startIndex = 8
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ampf = 1.5
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for iruns in reversed(range(0,9)) :
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    petscIm = linearSystemPETScDouble()
    petscIm.setParameter("petscOptions",  "-pc_type lu -ksp_type preonly")
    dofIm = dgDofManager.newDG(groups, claw, petscIm)
    petscImStarter = linearSystemPETScDouble()
    petscImStarter.setParameter("petscOptions",  "")
    dofImStarter = dgDofManager.newDG(groups,claw,petscImStarter)

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    timeIter = dgIMEXLMM(claw, dofIm, dofImStarter, IMEX_BDF2, None, 1)
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    timeIter.getNewton().setVerb(1)     #Verbosity

    solution.copy(solution0)
    #dt=claw.getMinOfTimeSteps(solution)*4.0/(2*timeOrder+1) #infinite because no initial velocity
    nbSteps = nbStepsList[iruns]
    dt=(Tf-Ti)/nbSteps

    if (Msg.GetCommRank()==0):
        print ("Time step:",dt,"No. of steps:",nbSteps)

    # Compute relative error
    def getRefSolSq(cmap, FCT,  refSol) :
        FCT[:,0]=refSol[:,0]**2
        FCT[:,1]=refSol[:,1]**2
        FCT[:,2]=refSol[:,2]**2
        FCT[:,3]=refSol[:,3]**2
    solRefSq=functionNumpy(4, getRefSolSq, [reloaded.getFunction()])

    def getError(cmap, FCT, refSol, compSol) :
        FCT[:,0]=(refSol[:,0]-compSol[:,0])**2
        FCT[:,1]=(refSol[:,1]-compSol[:,1])**2
        FCT[:,2]=(refSol[:,2]-compSol[:,2])**2
        FCT[:,3]=(refSol[:,3]-compSol[:,3])**2
    error = functionNumpy(4, getError, [reloaded.getFunction(), solution.getFunction()])
    integratorError = dgFunctionIntegrator(groups, error)
    intErr = fullMatrixDouble(4,1)
    integratorRefSq = dgFunctionIntegrator(groups, solRefSq)
    intRefSq = fullMatrixDouble(4,1)

    #Export data
    def getExp(cmap, FCT, uv, rhop, thetap, pp) :
        FCT[:,0]=uv[:,0]
        FCT[:,1]=uv[:,1]
        FCT[:,2]=rhop[:]
        FCT[:,3]=thetap[:]
        FCT[:,4]=pp[:]
    Exp=functionNumpy(5, getExp, [uv, rhop, thetap, pp, rhoHsC, thetaHsC])
    nCompExp=[2,1,1,1,]
    namesExp=["uv","rhop","thetap","pp"]
   
    prefixFileName = 'output_imexdimsim'+str(iruns)+'/export'

    # sBV = 2.0/3*(order+1.0)
    # muBV = 0.2
    # filterBV = dgFilterBoydVandeven(groups, "", sBV, muBV, True, False)
    # solutionBV = dgDofContainer(solution);
    # minDiff = fullMatrixDouble(claw.getNbFields(),1)
    # maxDiff = fullMatrixDouble(claw.getNbFields(),1)

    t=Ti
    # starter for IMEX DIMSIM
    #timeIter.starter(solution,dt/4.0,dt,t,4) 
    # starter for IMEX LMM
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    t=timeIter.starter(solution,dt,t,4)
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    del dofImStarter
    del petscImStarter

    n_export=0
    timeStart=time.clock();

    start = time.clock()
    #IMEX LMM
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    for i in range(1,nbSteps):
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    #for i in range(0,nbSteps):
        if (i%(250*2**iruns) == 0 and exportData):
            solution.exportFunctionVtk(Exp,prefixFileName, t*1000, i,"solution",nCompExp,namesExp)
            if (Msg.GetCommRank()==0):
                print ('\nWriting output',n_export,'at time',t*1000,'ms and step',i,'over',nbSteps)
                print("CFL: %.1e"%(dt/(claw.getMinOfTimeSteps(solution)*4.0)))
            n_export=n_export+1
        #We filter the dof manager and evaluate the max difference with unfiltered solution
        # solutionBV.copy(solution)
        # filterBV.apply(solutionBV)
        # solutionBV.axpy(solution, -1)
        # solutionBV.minmax(minDiff, maxDiff);
        # if (Msg.GetCommRank()==0):
        #     #Print the max difference on density
        #    print("[%.1e]"%max(maxDiff(0,0),-minDiff(0,0)))
        #    print("CFL dt %.1e"%(claw.getMinOfTimeSteps(solution)*4.0/(2*timeOrder+1)))
    ##
        timeIter.iterate(solution, dt, t)
        t=t+dt
        
        if (Msg.GetCommRank()==0):
            sys.stdout.write('.')
            sys.stdout.flush()
    if (Msg.GetCommRank()==0):
        print ('')
        print 'Tf=',t,
    elapsed = (time.clock() - start)
    if (Msg.GetCommRank()==0):
        print ('Time elapsed: ',elapsed,' s')
    if(exportData) :
        solution.exportFunctionVtk(Exp,prefixFileName, Tf*1000, nbSteps,"solution",nCompExp,namesExp)

    integratorError.compute(intErr)
    integratorRefSq.compute(intRefSq)
    errp.append(sqrt(intErr(0,0)/intRefSq(0,0)))
    erru.append(sqrt(intErr(1,0)/intRefSq(1,0)))
    errv.append(sqrt(intErr(2,0)/intRefSq(2,0)))
    errthetap.append(sqrt(intErr(3,0)/intRefSq(3,0)))
    errall.append( sqrt((intErr(0,0)+intErr(1,0)+intErr(2,0)+intErr(3,0))/(intRefSq(0,0)+intRefSq(1,0)+intRefSq(2,0)+intRefSq(3,0))) )
    stepsizes.append(dt)

    if (Msg.GetCommRank()==0):
        print "\nError on rhop:",errp[-1],"rhou:",erru[-1],"rhov:", errv[-1],"rhothetap:",errthetap[-1],"all:",errall[-1]
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        if(iruns != startIndex):
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            print "rhop order:",log(errp[-2]/errp[-1])/log(ampf)
            print "rhou order:",log(erru[-2]/erru[-1])/log(ampf)
            print "rhov order:",log(errv[-2]/errv[-1])/log(ampf)
            print "rhothetap order:",log(errthetap[-2]/errthetap[-1])/log(ampf)
            print "overall order:",log(errall[-2]/errall[-1])/log(ampf)
        outFile.write('{} {} {} {} {} {} {}\n'.format(nbSteps,elapsed,errp[-1],erru[-1],errv[-1],errthetap[-1],errall[-1]))
outFile.close()    
Msg.Exit(0)