Beispiel #1
0
    def acceptMPM(self, istep):
        if (istep % self.couplingStep == 0):
            #gettin nlocalfaces from MPM ( len(nlocalfaces) = remote_comm_world.size() )
            print "self.nfaces = ", self.nfaces
            self.FVM_COMM_MPM.Allgather([None, MPI.INT],
                                        [self.nfaces, MPI.INT])
            print "self.nfaces = ", self.nfaces
            #count
            count = self.nfaces * 4 * 3  # each face has four nodes and three coordinates
            #displ
            displ = zeros(len(count), dtype='i')
            #filling displ
            displ[0] = 0
            for i in range(1, len(count)):
                displ[i] = displ[i - 1] + count[i - 1]
        #creating fvm array
            SIZE = int(self.nfaces.sum() * 4)
            self.faceNodesCoord = self.geomField.coordinate[
                self.mesh.getCells()].newSizedClone(SIZE)
            self.FVM_COMM_MPM.Allgatherv(
                [None, 0, 0, MPI.DOUBLE],
                [self.faceNodesCoord.asNumPyArray(), count, displ, MPI.DOUBLE])
            print "MPI_RANK = ", MPI.COMM_WORLD.Get_rank(
            ), "  faceNodes coord = ", self.faceNodesCoord.asNumPyArray()
            if (self.isUnitConversion[0] == 1):
                self.faceNodesCoord.asNumPyArray(
                )[:, :] = self.faceNodesCoord.asNumPyArray()[:, :] / 1000.0
        #creating meshList
        #self.surfaceMeshes= fvmbaseExt.MeshList( fvmbaseExt.Mesh(3,99,self.faceNodesCoord) );
            self.surfaceMeshes = [fvmbaseExt.Mesh(3, 99, self.faceNodesCoord)]

            #self.surfaceMesh = fvmbaseExt.Mesh(3,99,self.faceNodesCoord)
            #count
            count = self.nfaces * 3
            #displ
            displ = zeros(len(count), dtype='i')
            #filling displ
            displ[0] = 0
            for i in range(1, len(count)):
                displ[i] = displ[i - 1] + count[i - 1]
        #creating fvm array
            SIZE = int(self.nfaces.sum())
            self.FaceCentroidVels = self.geomField.coordinate[
                self.mesh.getCells()].newSizedClone(SIZE)
            self.FVM_COMM_MPM.Allgatherv([None, 0, 0, MPI.DOUBLE], [
                self.FaceCentroidVels.asNumPyArray(), count, displ, MPI.DOUBLE
            ])
            if MPI.COMM_WORLD.Get_rank() == 0:
                self.dump_faces(self.faceNodesCoord.asNumPyArray(),
                                self.FaceCentroidVels.asNumPyArray())
            print "facecentroidvels = ", self.FaceCentroidVels.asNumPyArray(
            ), "   rank = ", MPI.COMM_WORLD.Get_rank()
  def makeMesh(self):
    nodeCoordsN = models.newVec3Array(self.nNodes)
    nodeCoordsA = nodeCoordsN.asNumPyArray()

    for n in range(self.nNodes):
      nodeCoordsA[n,0] = self.nodes[n].x
      nodeCoordsA[n,1] = self.nodes[n].y
      nodeCoordsA[n,2] = self.nodes[n].z

    nFaceZones = 7
    faceGroupCountN = fvmbaseExt.newIntArray(nFaceZones)
    faceGroupCount = faceGroupCountN.asNumPyArray()

    #interior faces
    faceGroupCount[0] = len(self.interiorFaces)
    #xmin faces
    faceGroupCount[1] = len(self.xminFaces)
    #xmax faces
    faceGroupCount[2] = len(self.xmaxFaces)
    #ymin faces
    faceGroupCount[3] = len(self.yminFaces)
    #ymax faces
    faceGroupCount[4] = len(self.ymaxFaces)
    #zmin faces
    faceGroupCount[5] = len(self.zminFaces)
    #zmax faces
    faceGroupCount[6] = len(self.zmaxFaces)
    
    ## allocate arrays for face nodes and cells
    faceNodeCountN = fvmbaseExt.newIntArray(self.nFaces)
    faceNodesN = fvmbaseExt.newIntArray(self.nFaces*4)
    faceCellsN = fvmbaseExt.newIntArray(self.nFaces*2)
    faceNodesA = faceNodesN.asNumPyArray()
    faceCellsA = faceCellsN.asNumPyArray()

    faceNodeCountA = faceNodeCountN.asNumPyArray()
    faceNodeCountA[:] = 4
    
    ## reshape for convenience
    faceNodes = faceNodesA.reshape((self.nFaces,4))
    faceCells = faceCellsA.reshape((self.nFaces,2))

    nf = 0
    for f in self.interiorFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.xminFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.xmaxFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.yminFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.ymaxFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.zminFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1

    for f in self.zmaxFaces:
      faceNodes[nf,0] = f.nodes[0].nID
      faceNodes[nf,1] = f.nodes[1].nID
      faceNodes[nf,2] = f.nodes[2].nID
      faceNodes[nf,3] = f.nodes[3].nID

      faceCells[nf,0] = f.cell0.cID
      faceCells[nf,1] = f.cell1.cID

      nf = nf + 1
    
    pdb.set_trace()
    return fvmbaseExt.Mesh(3, self.nCells, nodeCoordsN, faceCellsN, 
                           faceNodesN, faceNodeCountN, faceGroupCountN)
Beispiel #3
0
def generate2DMesh(la, lb, ta, tb, tc, nxa, nxb, nxc, nya, nyb):

    # number of cells
    imax = 2 * (nxa + nxc) + nxb
    jmax = nya + nyb

    # cell lengths in x and y
    dx = numpy.zeros(shape=(imax, ), dtype='double')
    dy = numpy.zeros(shape=(jmax, ), dtype='double')

    dxa = la / nxa
    dxb = lb / nxb
    dxc = tc / nxc

    dx[0:nxa] = dxa
    dx[nxa:nxa + nxc] = dxc
    dx[nxa + nxc:nxa + nxc + nxb] = dxb
    dx[nxa + nxc + nxb:nxa + 2 * nxc + nxb] = dxc
    dx[nxa + 2 * nxc + nxb:] = dxa

    dya = ta / nya
    dyb = tb / nyb

    dy[0:nya] = dya
    dy[nya:] = dyb

    xcoord = numpy.zeros(shape=(imax + 1, ), dtype='double')
    ycoord = numpy.zeros(shape=(jmax + 1, ), dtype='double')

    xcoord[0] = ycoord[0] = 0

    for i in range(0, imax):
        xcoord[i + 1] = xcoord[i] + dx[i]
    for j in range(0, jmax):
        ycoord[j + 1] = ycoord[j] + dy[j]

    ## move the x centroid to center of beam
    xmax = xcoord[imax]
    xcoord[:] -= xmax / 2.0

    # this will store the node index in the mesh for the cartesian node location
    nodeIndex = numpy.zeros(shape=(imax + 1, jmax + 1), dtype='int')
    nodeIndex[:, :] = -1

    nNodes = 0
    ## mark nodes in left anchor
    for j in range(0, nya + 1):
        for i in range(0, nxa + nxc + 1):
            if nodeIndex[i, j] == -1:
                nodeIndex[i, j] = nNodes
                nNodes += 1

    ## mark nodes in beam
    for j in range(nya, jmax + 1):
        for i in range(nxa, nxa + 2 * nxc + nxb + 1):
            if nodeIndex[i, j] == -1:
                nodeIndex[i, j] = nNodes
                nNodes += 1

    ## mark nodes in right anchor
    for j in range(0, nya + 1):
        for i in range(nxa + nxc + nxb, imax + 1):
            if nodeIndex[i, j] == -1:
                nodeIndex[i, j] = nNodes
                nNodes += 1

    nodeCoordsN = models.newVec3Array(nNodes)
    nodeCoordsA = nodeCoordsN.asNumPyArray()

    nodeCoordsA[:, 2] = 0.
    for i in range(0, imax + 1):
        for j in range(0, jmax + 1):
            ni = nodeIndex[i, j]
            if (ni >= 0):
                nodeCoordsA[ni, 0] = xcoord[i]
                nodeCoordsA[ni, 1] = ycoord[j]

    # this will store the cell index in the mesh for the cartesian cell location
    cellIndex = numpy.zeros(shape=(imax, jmax), dtype='int')
    cellIndex[:, :] = -1

    nCells = 0
    ## mark cells in left anchor
    for j in range(0, nya):
        for i in range(0, nxa + nxc):
            if cellIndex[i, j] == -1:
                cellIndex[i, j] = nCells
                nCells += 1

    ## mark cells in beam
    for j in range(nya, jmax):
        for i in range(nxa, nxa + 2 * nxc + nxb):
            if cellIndex[i, j] == -1:
                cellIndex[i, j] = nCells
                nCells += 1

    ## mark cells in right anchor
    for j in range(0, nya):
        for i in range(nxa + nxc + nxb, imax):
            if cellIndex[i, j] == -1:
                cellIndex[i, j] = nCells
                nCells += 1

    nFacesInterior = 0

    ## interior faces of left and right anchors

    nFacesInterior += (nxa + nxc - 1) * nya + (nya - 1) * (nxa + nxc)
    nFacesInterior += (nxa + nxc - 1) * nya + (nya - 1) * (nxa + nxc)

    ## interior faces of beam

    nFacesInterior += (nxb + 2 * nxc - 1) * nyb + (nyb - 1) * (nxb + 2 * nxc)

    ## interior faces between anchor and beam

    nFacesInterior += 2 * nxc

    nFaceZones = 8

    faceGroupCountN = fvmbaseExt.newIntArray(nFaceZones)
    faceGroupCount = faceGroupCountN.asNumPyArray()

    faceGroupCount[0] = nFacesInterior

    # bottom of anchors
    faceGroupCount[1] = 2 * (nxa + nxc)

    #outer sides of anchors
    faceGroupCount[2] = 2 * nya

    #inner sides of anchors
    faceGroupCount[3] = 2 * nya

    #beam bottom
    faceGroupCount[4] = nxb

    #beam top
    faceGroupCount[5] = nxb + 2 * nxc

    #beam sides
    faceGroupCount[6] = 2 * nyb

    # top of anchors
    faceGroupCount[7] = 2 * nxa

    nFaces = int(faceGroupCount.sum())

    ## allocate arrays for face nodes
    faceNodeCountN = fvmbaseExt.newIntArray(nFaces)
    faceNodesN = fvmbaseExt.newIntArray(nFaces * 2)
    faceCellsN = fvmbaseExt.newIntArray(nFaces * 2)

    faceNodesA = faceNodesN.asNumPyArray()
    faceCellsA = faceCellsN.asNumPyArray()

    faceNodeCountA = faceNodeCountN.asNumPyArray()
    faceNodeCountA[:] = 2

    ## reshape for convenience

    faceNodes = faceNodesA.reshape((nFaces, 2))
    faceCells = faceCellsA.reshape((nFaces, 2))

    # interior x faces of left anchor

    nf = 0
    for j in range(0, nya):
        for i in range(0, nxa + nxc - 1):
            faceNodes[nf, 0] = nodeIndex[i + 1, j]
            faceNodes[nf, 1] = nodeIndex[i + 1, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i + 1, j]

            nf += 1

    # interior y faces of left anchor

    for j in range(0, nya - 1):
        for i in range(0, nxa + nxc):
            faceNodes[nf, 0] = nodeIndex[i + 1, j + 1]
            faceNodes[nf, 1] = nodeIndex[i, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i, j + 1]

            nf += 1

    # interior x faces of beam

    for j in range(nya, jmax):
        for i in range(nxa, nxa + 2 * nxc + nxb - 1):
            faceNodes[nf, 0] = nodeIndex[i + 1, j]
            faceNodes[nf, 1] = nodeIndex[i + 1, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i + 1, j]

            nf += 1

    # interior y faces of beam

    for j in range(nya, jmax - 1):
        for i in range(nxa, nxa + 2 * nxc + nxb):
            faceNodes[nf, 0] = nodeIndex[i + 1, j + 1]
            faceNodes[nf, 1] = nodeIndex[i, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i, j + 1]

            nf += 1

    ## interior x faces in right anchor
    for j in range(0, nya):
        for i in range(nxa + nxc + nxb, imax - 1):
            faceNodes[nf, 0] = nodeIndex[i + 1, j]
            faceNodes[nf, 1] = nodeIndex[i + 1, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i + 1, j]

            nf += 1

    ## interior y faces in right anchor
    for j in range(0, nya - 1):
        for i in range(nxa + nxc + nxb, imax):
            faceNodes[nf, 0] = nodeIndex[i + 1, j + 1]
            faceNodes[nf, 1] = nodeIndex[i, j + 1]

            faceCells[nf, 0] = cellIndex[i, j]
            faceCells[nf, 1] = cellIndex[i, j + 1]

            nf += 1

    ## left interior faces between anchor and beam

    j = nya

    for i in range(nxa, nxa + nxc):
        faceNodes[nf, 0] = nodeIndex[i + 1, j]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j - 1]
        faceCells[nf, 1] = cellIndex[i, j]

        nf += 1

    ## right interior faces between anchor and beam

    for i in range(nxa + nxc + nxb, nxa + 2 * nxc + nxb):
        faceNodes[nf, 0] = nodeIndex[i + 1, j]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j - 1]
        faceCells[nf, 1] = cellIndex[i, j]

        nf += 1

    nb = 0

    # left anchor bottom
    j = 0
    for i in range(0, nxa + nxc):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i + 1, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # right anchor bottom

    for i in range(nxa + nxc + nxb, imax):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i + 1, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # left anchor outer side
    i = 0
    for j in range(0, nya):
        faceNodes[nf, 0] = nodeIndex[i, j + 1]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # right anchor outer side
    i = imax
    for j in range(0, nya):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i, j + 1]

        faceCells[nf, 0] = cellIndex[i - 1, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # left anchor inner side
    i = nxa + nxc
    for j in range(0, nya):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i, j + 1]

        faceCells[nf, 0] = cellIndex[i - 1, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # right anchor inner side
    i = nxa + nxc + nxb
    for j in range(0, nya):
        faceNodes[nf, 0] = nodeIndex[i, j + 1]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # beam bottom
    j = nya
    for i in range(nxa + nxc, nxa + nxc + nxb):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i + 1, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # beam top
    j = nya + nyb
    for i in range(nxa, nxa + 2 * nxc + nxb):
        faceNodes[nf, 0] = nodeIndex[i + 1, j]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j - 1]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # left beam side
    i = nxa
    for j in range(nya, nya + nyb):
        faceNodes[nf, 0] = nodeIndex[i, j + 1]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # right beam side
    i = nxa + 2 * nxc + nxb
    for j in range(nya, nya + nyb):
        faceNodes[nf, 0] = nodeIndex[i, j]
        faceNodes[nf, 1] = nodeIndex[i, j + 1]

        faceCells[nf, 0] = cellIndex[i - 1, j]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # left anchor top
    j = nya
    for i in range(0, nxa):
        faceNodes[nf, 0] = nodeIndex[i + 1, j]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j - 1]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    # right anchor top
    for i in range(nxa + 2 * nxc + nxb, imax):
        faceNodes[nf, 0] = nodeIndex[i + 1, j]
        faceNodes[nf, 1] = nodeIndex[i, j]

        faceCells[nf, 0] = cellIndex[i, j - 1]
        faceCells[nf, 1] = nCells + nb

        nf += 1
        nb += 1

    #numpy.set_printoptions(threshold=1e8)

    #print faceCellsA[:]
    #print faceNodesA
    mesh = fvmbaseExt.Mesh(2, nCells, nodeCoordsN, faceCellsN, faceNodesN,
                           faceNodeCountN, faceGroupCountN)

    print '2d mesh nnodes = %s' % nNodes
    print 'midpoint node index is %s' % nodeIndex[imax / 2, nya]

    return mesh
def generateBoxMesh(xmax, ymax, zmax, imax, jmax, kmax):


    xcoord = np.linspace(0.0, xmax, num=(imax+1))
    xcoord = xcoord.astype('double')
    ycoord = np.linspace(0.0, ymax, num=(jmax+1))
    ycoord = ycoord.astype('double')
    zcoord = np.linspace(0.0, zmax, num=(kmax+1))
    zcoord = zcoord.astype('double')

    nCells = imax*jmax*kmax

    nodeIndex = np.zeros(shape=(imax+1,jmax+1,kmax+1), dtype='int')
    nNodes = 0

    nodeCoordsN = models.newVec3Array((imax+1)*(jmax+1)*(kmax+1))
    nodeCoordsA = nodeCoordsN.asNumPyArray()

    for k in range(kmax+1):
        for j in range(jmax+1):
            for i in range(imax+1):
                nodeIndex[i,j,k] = nNodes
                nodeCoordsA[nNodes,0] = xcoord[i]
                nodeCoordsA[nNodes,1] = ycoord[j]
                nodeCoordsA[nNodes,2] = zcoord[k]
                nNodes = nNodes + 1

    cellIndex = np.zeros(shape=(imax,jmax,kmax), dtype='int')
    nCells = 0

    for k in range(kmax):
        for j in range(jmax):
            for i in range(imax):
                cellIndex[i,j,k] = nCells
                nCells = nCells + 1
                
    nFacesInterior = imax*jmax*(kmax-1)+imax*(jmax-1)*kmax+(imax-1)*jmax*kmax

    nFaceZones = 7

    faceGroupCountN = fvmbaseExt.newIntArray(nFaceZones)
    faceGroupCount = faceGroupCountN.asNumPyArray()

    #interior faces
    faceGroupCount[0] = nFacesInterior 
    #xmin faces
    faceGroupCount[1] = jmax*kmax
    #xmax faces
    faceGroupCount[2] = jmax*kmax
    #ymin faces
    faceGroupCount[3] = imax*kmax
    #ymax faces
    faceGroupCount[4] = imax*kmax
    #zmin faces
    faceGroupCount[5] = imax*jmax
    #zmax faces
    faceGroupCount[6] = imax*jmax

    nFaces = int(faceGroupCount.sum())

    ## allocate arrays for face nodes and cells
    faceNodeCountN = fvmbaseExt.newIntArray(nFaces)
    faceNodesN = fvmbaseExt.newIntArray(nFaces*4)
    faceCellsN = fvmbaseExt.newIntArray(nFaces*2)

    faceNodesA = faceNodesN.asNumPyArray()
    faceCellsA = faceCellsN.asNumPyArray()

    faceNodeCountA = faceNodeCountN.asNumPyArray()
    faceNodeCountA[:] = 4
    
    ## reshape for convenience

    faceNodes = faceNodesA.reshape((nFaces,4))
    faceCells = faceCellsA.reshape((nFaces,2))
    
    nf = 0
    # interior x faces
    for i in range(1,imax):
        for j in range(jmax):
            for k in range(kmax):
                faceNodes[nf,0] = nodeIndex[i,j,k]
                faceNodes[nf,1] = nodeIndex[i,j+1,k]
                faceNodes[nf,2] = nodeIndex[i,j+1,k+1]
                faceNodes[nf,3] = nodeIndex[i,j,k+1]

                faceCells[nf,0] = cellIndex[i,j,k]
                faceCells[nf,1] = cellIndex[i-1,j,k]

                nf = nf + 1

    # interior y faces
    for j in range(1,jmax):
        for i in range(imax):
            for k in range(kmax):
                faceNodes[nf,0] = nodeIndex[i,j,k]
                faceNodes[nf,1] = nodeIndex[i+1,j,k]
                faceNodes[nf,2] = nodeIndex[i+1,j,k+1]
                faceNodes[nf,3] = nodeIndex[i,j,k+1]

                faceCells[nf,0] = cellIndex[i,j-1,k]
                faceCells[nf,1] = cellIndex[i,j,k]

                nf = nf + 1

    # interior z faces
    for k in range(1,kmax):
        for i in range(imax):
            for j in range(jmax):
                faceNodes[nf,0] = nodeIndex[i,j,k]
                faceNodes[nf,1] = nodeIndex[i+1,j,k]
                faceNodes[nf,2] = nodeIndex[i+1,j+1,k]
                faceNodes[nf,3] = nodeIndex[i,j+1,k]

                faceCells[nf,0] = cellIndex[i,j,k]
                faceCells[nf,1] = cellIndex[i,j,k-1]

                nf = nf + 1
        
    
    
    nb = 0
    #x-boundaries
    i = 0
    for j in range(jmax):
        for k in range(kmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i,j+1,k]
            faceNodes[nf,2] = nodeIndex[i,j+1,k+1]
            faceNodes[nf,3] = nodeIndex[i,j,k+1]

            faceCells[nf,0] = cellIndex[i,j,k]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1

    i = imax
    for j in range(jmax):
        for k in range(kmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i,j,k+1]
            faceNodes[nf,2] = nodeIndex[i,j+1,k+1]
            faceNodes[nf,3] = nodeIndex[i,j+1,k]

            faceCells[nf,0] = cellIndex[i-1,j,k]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1

    #y-boundaries
    j = 0
    for i in range(imax):
        for k in range(kmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i,j,k+1]
            faceNodes[nf,2] = nodeIndex[i+1,j,k+1]
            faceNodes[nf,3] = nodeIndex[i+1,j,k]

            faceCells[nf,0] = cellIndex[i,j,k]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1

    j = jmax
    for i in range(imax):
        for k in range(kmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i+1,j,k]
            faceNodes[nf,2] = nodeIndex[i+1,j,k+1]
            faceNodes[nf,3] = nodeIndex[i,j,k+1]

            faceCells[nf,0] = cellIndex[i,j-1,k]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1

    #z-boundaries
    k = 0
    for i in range(imax):
        for j in range(jmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i+1,j,k]
            faceNodes[nf,2] = nodeIndex[i+1,j+1,k]
            faceNodes[nf,3] = nodeIndex[i,j+1,k]

            faceCells[nf,0] = cellIndex[i,j,k]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1

    k = kmax
    for i in range(imax):
        for j in range(jmax):
            faceNodes[nf,0] = nodeIndex[i,j,k]
            faceNodes[nf,1] = nodeIndex[i,j+1,k]
            faceNodes[nf,2] = nodeIndex[i+1,j+1,k]
            faceNodes[nf,3] = nodeIndex[i+1,j,k]

            faceCells[nf,0] = cellIndex[i,j,k-1]
            faceCells[nf,1] = nCells + nb

            nf = nf + 1
            nb = nb + 1
    

    mesh = fvmbaseExt.Mesh(3, nCells, nodeCoordsN, faceCellsN,
                           faceNodesN, faceNodeCountN, faceGroupCountN)

    return mesh