# Coverage for pySDC/implementations/problem_classes/boussinesq_helpers/buildBoussinesq2DMatrix.py: 0%

## 34 statements

, created at 2024-09-20 17:10 +0000

1import numpy as np

2import scipy.sparse as sp

4from pySDC.implementations.problem_classes.boussinesq_helpers.build2DFDMatrix import (

5 get2DMatrix,

6 getBCHorizontal,

7 get2DUpwindMatrix,

8)

11def getBoussinesq2DUpwindMatrix(N, dx, u_adv, order):

12 Dx = get2DUpwindMatrix(N, dx, order)

14 # 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,

17 Zero = np.zeros((N[0] * N[1], N[0] * N[1]))

18 M1 = sp.hstack((-u_adv * Dx, Zero, Zero, Zero), format="csr")

19 M2 = sp.hstack((Zero, -u_adv * Dx, Zero, Zero), format="csr")

20 M3 = sp.hstack((Zero, Zero, -u_adv * Dx, Zero), format="csr")

21 M4 = sp.hstack((Zero, Zero, Zero, -u_adv * Dx), format="csr")

22 M = sp.vstack((M1, M2, M3, M4), format="csr")

24 return sp.csc_matrix(M)

27def getBoussinesq2DMatrix(N, h, bc_hor, bc_ver, c_s, Nfreq, order):

28 Dx_u, Dz_u = get2DMatrix(N, h, bc_hor[0], bc_ver[0], order)

29 Dx_w, Dz_w = get2DMatrix(N, h, bc_hor[1], bc_ver[1], order)

30 # Dx_b, Dz_b = get2DMatrix(N, h, bc_hor[2], bc_ver[2], order)

31 Dx_p, Dz_p = get2DMatrix(N, h, bc_hor[3], bc_ver[3], order)

33 # Id_N = sp.eye(N[0] * N[1])

35 Zero = np.zeros((N[0] * N[1], N[0] * N[1]))

36 Id_w = sp.eye(N[0] * N[1])

38 # Note: Bring all terms to right hand side, therefore a couple of minus signs

39 # are needed

41 M1 = sp.hstack((Zero, Zero, Zero, -Dx_p), format="csr")

42 M2 = sp.hstack((Zero, Zero, Id_w, -Dz_p), format="csr")

43 M3 = sp.hstack((Zero, -(Nfreq**2) * Id_w, Zero, Zero), format="csr")

44 M4 = sp.hstack((-(c_s**2) * Dx_u, -(c_s**2) * Dz_w, Zero, Zero), format="csr")

45 M = sp.vstack((M1, M2, M3, M4), format="csr")

47 Id = sp.eye(4 * N[0] * N[1])

49 return sp.csc_matrix(Id), sp.csc_matrix(M)

52def getBoussinesqBCHorizontal(value, N, dx, bc_hor):

53 bu_left, bu_right = getBCHorizontal(value[0], N, dx, bc_hor[0])

54 bw_left, bw_right = getBCHorizontal(value[1], N, dx, bc_hor[1])

55 # bb_left, bb_right = getBCHorizontal(value[2], N, dx, bc_hor[2])

56 bp_left, bp_right = getBCHorizontal(value[3], N, dx, bc_hor[3])

58 b_left = np.concatenate((bp_left, bp_left, bu_left + bw_left))

59 b_right = np.concatenate((bp_right, bp_right, bu_right + bw_right))

60 return b_left, b_right

63def getBoussinesqBCVertical():

64 return 0.0