108 lines
2.9 KiB
Python
108 lines
2.9 KiB
Python
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import numpy as np
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from scipy.signal import convolve
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class StaggeredArray2D:
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def __init__(self, x_n, y_n):
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"""
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creates a staggered array
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:param x_n: x size of the array
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:param y_n: y size of the array
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"""
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self.x_n = x_n
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self.y_n = y_n
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self.p = np.zeros((x_n, y_n), dtype=np.float)
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self.u_x = np.zeros((x_n + 1, y_n), dtype=np.float)
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self.u_y = np.zeros((x_n, y_n + 1), dtype=np.float)
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self.has_fluid = np.zeros((x_n, y_n), dtype=np.bool)
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self.density = np.zeros((x_n, y_n), dtype=np.float)
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def get_velocity(self, x, y):
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"""
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get mid point value for the coordinates
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:param x: x coordinate
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:param y: y coordinate
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:return:
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"""
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assert 0 <= x < self.x_n, 'x value out of bounds!'
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assert 0 <= y < self.y_n, 'y value out of bounds!'
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lower_x = self.u_x[x, y]
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upper_x = self.u_x[x + 1, y]
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lower_y = self.u_y[x, y]
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upper_y = self.u_y[x, y + 1]
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return (lower_x + upper_x) / 2.0, (lower_y + upper_y) / 2.0
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def get_velocity_arrays(self):
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c_x = np.array([[0.5], [0.5]])
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u_x = convolve(self.u_x, c_x, mode='valid')
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c_y = np.array([[0.5, 0.5]])
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u_y = convolve(self.u_y, c_y, mode='valid')
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return u_x, u_y
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class StaggeredArray3D:
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def __init__(self, x_n, y_n, z_n):
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"""
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creates a staggered array
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:param x_n: x size of the array
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:param y_n: y size of the array
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:param z_n: z size of the array
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"""
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self.x_n = x_n
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self.y_n = y_n
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self.z_n = z_n
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self.p = np.zeros((x_n, y_n, z_n), dtype=np.float)
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self.u_x = np.zeros((x_n + 1, y_n, z_n), dtype=np.float)
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self.u_y = np.zeros((x_n, y_n + 1, z_n), dtype=np.float)
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self.u_z = np.zeros((x_n, y_n, z_n + 1), dtype=np.float)
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self.has_fluid = np.zeros((x_n, y_n, z_n), dtype=np.bool)
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def get_velocity(self, x, y, z):
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"""
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get mid point value for the coordinates
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:param x: x coordinate
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:param y: y coordinate
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:param z: z coordinate
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:return:
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"""
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assert 0 <= x < self.x_n, 'x value out of bounds!'
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assert 0 <= y < self.y_n, 'y value out of bounds!'
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assert 0 <= z < self.z_n, 'y value out of bounds!'
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lower_x = self.u_x[x, y, z]
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upper_x = self.u_x[x + 1, y, z]
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lower_y = self.u_y[x, y, z]
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upper_y = self.u_y[x, y + 1, z]
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lower_z = self.u_z[x, y, z]
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upper_z = self.u_z[x, y, z + 1]
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return (lower_x + upper_x) / 2.0, (lower_y + upper_y) / 2.0, (lower_z + upper_z) / 2.0
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if __name__ == '__main__':
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sa = StaggeredArray2D(10, 10)
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for x in range(11):
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for y in range(10):
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sa.u_x[x, y] = y
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for x in range(10):
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for y in range(11):
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sa.u_y[x, y] = x
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ux, uy = sa.get_velocity_arrays()
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ux2, uy2 = sa.get_velocity(0, 0)
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