source: inundation/ga/storm_surge/parallel/parallel_meshes.py @ 1599

import sys
from os import sep
sys.path.append('..'+sep+'pyvolution')

"""parallel-meshes -
2D triangular domains for parallel finite-volume computations of
the advection equation, with extra structures to define the
sending and receiving communications define in dictionaries
full_send_dict and ghost_recv_dict


Ole Nielsen, Stephen Roberts, Duncan Gray, Christopher Zoppou
Geoscience Australia, 2005
"""

from parallel_advection import *


def parallel_rectangle(m_g, n_g, len1_g=1.0, len2_g=1.0, origin_g = (0.0, 0.0)):


    """Setup a rectangular grid of triangles
    with m+1 by n+1 grid points
    and side lengths len1, len2. If side lengths are omitted
    the mesh defaults to the unit square, divided between all the
    processors

    len1: x direction (left to right)
    len2: y direction (bottom to top)

    """

    from config import epsilon
    from Numeric import zeros, Float, Int

    processor = pypar.rank()
    numproc   = pypar.size()

    m_low, m_high = pypar.balance(m_g, numproc, processor)

    n = n_g
    m_low  = m_low-1
    m_high = m_high+1
    m = m_high - m_low

    delta1 = float(len1_g)/m_g
    delta2 = float(len2_g)/n_g

    len1 = len1_g*float(m)/float(m_g)
    len2 = len2_g
    origin = ( origin_g[0]+float(m_low)/float(m_g)*len1_g, origin_g[1] )


    #Calculate number of points
    Np = (m+1)*(n+1)

    class VIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return j+i*(self.n+1)

    class EIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return 2*(j+i*self.n)


    I = VIndex(n,m)
    E = EIndex(n,m)

    points = zeros( (Np,2), Float)

    for i in range(m+1):
        for j in range(n+1):

            points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]]

    #Construct 2 triangles per rectangular element and assign tags to boundary
    #Calculate number of triangles
    Nt = 2*m*n


    elements = zeros( (Nt,3), Int)
    boundary = {}
    Idgl = []
    Idfl = []
    Idgr = []
    Idfr = []

    full_send_dict = {}
    ghost_recv_dict = {}
    nt = -1
    for i in range(m):
        for j in range(n):

            i1 = I(i,j+1)
            i2 = I(i,j)
            i3 = I(i+1,j+1)
            i4 = I(i+1,j)

            #Lower Element
            nt = E(i,j)
            if i == 0:
                Idgl.append(nt)

            if i == 1:
                Idfl.append(nt)

            if i == m-2:
                Idfr.append(nt)

            if i == m-1:
                Idgr.append(nt)

            if i == m-1:
                boundary[nt, 2] = 'right'
            if j == 0:
                boundary[nt, 1] = 'bottom'
            elements[nt,:] = [i4,i3,i2]

            #Upper Element
            nt = E(i,j)+1
            if i == 0:
                Idgl.append(nt)

            if i == 1:
                Idfl.append(nt)

            if i == m-2:
                Idfr.append(nt)

            if i == m-1:
                Idgr.append(nt)

            if i == 0:
                boundary[nt, 2] = 'left'
            if j == n-1:
                boundary[nt, 1] = 'top'
            elements[nt,:] = [i1,i2,i3]

    if numproc==1:
        Idfl.extend(Idfr)
        Idgr.extend(Idgl)
        Idfl = array(Idfl,Int)
        Idgr = array(Idgr,Int)
        full_send_dict[processor]  = [Idfl, Idfl]
        ghost_recv_dict[processor] = [Idgr, Idgr]
    elif numproc == 2:
        Idfl.extend(Idfr)
        Idgr.extend(Idgl)
        Idfl = array(Idfl,Int)
        Idgr = array(Idgr,Int)
        full_send_dict[(processor-1)%numproc]  = [Idfl, Idfl]
        ghost_recv_dict[(processor-1)%numproc] = [Idgr, Idgr]
    else:
        Idfl = array(Idfl,Int)
        Idgl = array(Idgl,Int)

        Idfr = array(Idfr,Int)
        Idgr = array(Idgr,Int)

        full_send_dict[(processor-1)%numproc]  = [Idfl, Idfl]
        ghost_recv_dict[(processor-1)%numproc] = [Idgl, Idgl]
        full_send_dict[(processor+1)%numproc]  = [Idfr, Idfr]
        ghost_recv_dict[(processor+1)%numproc] = [Idgr, Idgr]

    return  points, elements, boundary, full_send_dict, ghost_recv_dict



def rectangular_periodic(m, n, len1=1.0, len2=1.0, origin = (0.0, 0.0)):


    """Setup a rectangular grid of triangles
    with m+1 by n+1 grid points
    and side lengths len1, len2. If side lengths are omitted
    the mesh defaults to the unit square.

    len1: x direction (left to right)
    len2: y direction (bottom to top)

    Return to lists: points and elements suitable for creating a Mesh or
    FVMesh object, e.g. Mesh(points, elements)
    """

    from config import epsilon
    from Numeric import zeros, Float, Int

    delta1 = float(len1)/m
    delta2 = float(len2)/n

    #Calculate number of points
    Np = (m+1)*(n+1)

    class VIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return j+i*(self.n+1)

    class EIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return 2*(j+i*self.n)


    I = VIndex(n,m)
    E = EIndex(n,m)

    points = zeros( (Np,2), Float)

    for i in range(m+1):
        for j in range(n+1):

            points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]]

    #Construct 2 triangles per rectangular element and assign tags to boundary
    #Calculate number of triangles
    Nt = 2*m*n


    elements = zeros( (Nt,3), Int)
    boundary = {}
    ghosts = {}
    nt = -1
    for i in range(m):
        for j in range(n):

            i1 = I(i,j+1)
            i2 = I(i,j)
            i3 = I(i+1,j+1)
            i4 = I(i+1,j)

            #Lower Element
            nt = E(i,j)
            if i == m-1:
                ghosts[nt] = E(1,j)
            if i == 0:
                ghosts[nt] = E(m-2,j)

            if j == n-1:
                ghosts[nt] = E(i,1)

            if j == 0:
                ghosts[nt] = E(i,n-2)

            if i == m-1:
                boundary[nt, 2] = 'right'
            if j == 0:
                boundary[nt, 1] = 'bottom'
            elements[nt,:] = [i4,i3,i2]

            #Upper Element
            nt = E(i,j)+1
            if i == m-1:
                ghosts[nt] = E(1,j)+1
            if i == 0:
                ghosts[nt] = E(m-2,j)+1

            if j == n-1:
                ghosts[nt] = E(i,1)+1

            if j == 0:
                ghosts[nt] = E(i,n-2)+1

            if i == 0:
                boundary[nt, 2] = 'left'
            if j == n-1:
                boundary[nt, 1] = 'top'
            elements[nt,:] = [i1,i2,i3]

    #bottom left
    nt = E(0,0)
    nf = E(m-2,n-2)
    ghosts[nt]   = nf
    ghosts[nt+1] = nf+1

    #bottom right
    nt = E(m-1,0)
    nf = E(1,n-2)
    ghosts[nt]   = nf
    ghosts[nt+1] = nf+1

    #top left
    nt = E(0,n-1)
    nf = E(m-2,1)
    ghosts[nt]   = nf
    ghosts[nt+1] = nf+1

    #top right
    nt = E(m-1,n-1)
    nf = E(1,1)
    ghosts[nt]   = nf
    ghosts[nt+1] = nf+1

    return points, elements, boundary, ghosts

def rectangular_periodic_lr(m, n, len1=1.0, len2=1.0, origin = (0.0, 0.0)):


    """Setup a rectangular grid of triangles
    with m+1 by n+1 grid points
    and side lengths len1, len2. If side lengths are omitted
    the mesh defaults to the unit square.

    len1: x direction (left to right)
    len2: y direction (bottom to top)

    Return to lists: points and elements suitable for creating a Mesh or
    Domain object, e.g. Mesh(points, elements)
    """

    from config import epsilon
    from Numeric import zeros, Float, Int

    delta1 = float(len1)/m
    delta2 = float(len2)/n

    #Calculate number of points
    Np = (m+1)*(n+1)

    class VIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return j+i*(self.n+1)

    class EIndex:

        def __init__(self, n,m):
            self.n = n
            self.m = m

        def __call__(self, i,j):
            return 2*(j+i*self.n)


    I = VIndex(n,m)
    E = EIndex(n,m)

    points = zeros( (Np,2), Float)

    for i in range(m+1):
        for j in range(n+1):

            points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]]

    #Construct 2 triangles per rectangular element and assign tags to boundary
    #Calculate number of triangles
    Nt = 2*m*n


    elements = zeros( (Nt,3), Int)
    boundary = {}
    ghosts = {}
    nt = -1
    for i in range(m):
        for j in range(n):

            i1 = I(i,j+1)
            i2 = I(i,j)
            i3 = I(i+1,j+1)
            i4 = I(i+1,j)

            #Lower Element
            nt = E(i,j)
            if i == m-1:
                ghosts[nt] = E(1,j)
            if i == 0:
                ghosts[nt] = E(m-2,j)

            if i == m-1:
                boundary[nt, 2] = 'right'
            if j == 0:
                boundary[nt, 1] = 'bottom'
            elements[nt,:] = [i4,i3,i2]

            #Upper Element
            nt = E(i,j)+1
            if i == m-1:
                ghosts[nt] = E(1,j)+1
            if i == 0:
                ghosts[nt] = E(m-2,j)+1

            if i == 0:
                boundary[nt, 2] = 'left'
            if j == n-1:
                boundary[nt, 1] = 'top'
            elements[nt,:] = [i1,i2,i3]


    return points, elements, boundary, ghosts