Python get2DUpwindMatrix示例

示例#1

文件： buildWave2DMatrix.py 项目： saucenschwinger/pySDC

def getWave2DUpwindMatrix(N, dx):

    Dx = get2DUpwindMatrix(N, dx)

    Zero = np.zeros((N[0] * N[1], N[0] * N[1]))
    M1 = sp.hstack((Dx, Zero, Zero), format="csr")
    M2 = sp.hstack((Zero, Dx, Zero), format="csr")
    M3 = sp.hstack((Zero, Zero, Dx), format="csr")
    M = sp.vstack((M1, M2, M3), format="csr")

    return sp.csc_matrix(M)

示例#2

文件： buildWave2DMatrix.py 项目： kidaa/pySDC

def getWave2DUpwindMatrix(N, dx):

  Dx   = get2DUpwindMatrix(N, dx)
  
  Zero = np.zeros((N[0]*N[1],N[0]*N[1]))
  M1 = sp.hstack((Dx ,  Zero,   Zero), format="csr")
  M2 = sp.hstack((Zero,   Dx,   Zero), format="csr")
  M3 = sp.hstack((Zero, Zero,     Dx), format="csr")
  M  = sp.vstack((M1,M2,M3), format="csr")
  
  return sp.csc_matrix(M)

示例#3

文件： buildBoussinesq2DMatrix.py 项目： kidaa/pySDC

def getBoussinesq2DUpwindMatrix(N, dx, u_adv, order):

  Dx   = get2DUpwindMatrix(N, dx)
  
  # Note: In the equations it is u_t + u_adv* D_x u = ... so in order to comply with the form u_t = M u,
  # add a minus sign in front of u_adv
  
  Zero = np.zeros((N[0]*N[1], N[0]*N[1]))
  M1 = sp.hstack((-u_adv*Dx,        Zero,      Zero,      Zero), format="csr")
  M2 = sp.hstack((     Zero,   -u_adv*Dx,      Zero,      Zero), format="csr")
  M3 = sp.hstack((     Zero,        Zero, -u_adv*Dx,      Zero), format="csr")
  M4 = sp.hstack((     Zero,        Zero,      Zero, -u_adv*Dx), format="csr")
  M  = sp.vstack((M1,M2,M3,M4), format="csr")
  
  return sp.csc_matrix(M)