Source code for implementations.problem_classes.acoustic_helpers.buildWave1DMatrix

import numpy as np
import scipy.sparse as sp

from pySDC.implementations.problem_classes.acoustic_helpers.buildFDMatrix import (
    getMatrix,
    getHorizontalDx,
    getBCLeft,
    getBCRight,
)

wave_order = 6




def getWave1DMatrix(N, dx, bc_left, bc_right):
    Id = sp.eye(2 * N)

    D_u = getMatrix(N, dx, bc_left[0], bc_right[0], wave_order)
    D_p = getMatrix(N, dx, bc_left[1], bc_right[1], wave_order)
    Zero = np.zeros((N, N))
    M1 = sp.hstack((Zero, D_p), format="csc")
    M2 = sp.hstack((D_u, Zero), format="csc")
    M = sp.vstack((M1, M2), format="csc")
    return sp.csc_matrix(Id), sp.csc_matrix(M)





def getWave1DAdvectionMatrix(N, dx, order):
    Dx = getHorizontalDx(N, dx, order)
    Zero = np.zeros((N, N))
    M1 = sp.hstack((Dx, Zero), format="csc")
    M2 = sp.hstack((Zero, Dx), format="csc")
    M = sp.vstack((M1, M2), format="csc")
    return sp.csc_matrix(M)





def getWaveBCLeft(value, N, dx, bc_left):
    bu = getBCLeft(value[0], N, dx, bc_left[0], wave_order)
    bp = getBCLeft(value[1], N, dx, bc_left[1], wave_order)
    return np.concatenate((bp, bu))





def getWaveBCRight(value, N, dx, bc_right):
    bu = getBCRight(value[0], N, dx, bc_right[0], wave_order)
    bp = getBCRight(value[1], N, dx, bc_right[1], wave_order)
    return np.concatenate((bp, bu))