68 lines
2.0 KiB
Python
68 lines
2.0 KiB
Python
"""
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Boundary conditions
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#TODO conducting boundary documentation
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"""
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from typing import List, Callable, Tuple, Dict
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import numpy
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from ..fdmath import dx_lists_t, fdfield_t, fdfield_updater_t
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def conducting_boundary(direction: int,
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polarity: int
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) -> Tuple[fdfield_updater_t, fdfield_updater_t]:
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dirs = [0, 1, 2]
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if direction not in dirs:
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raise Exception('Invalid direction: {}'.format(direction))
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dirs.remove(direction)
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u, v = dirs
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if polarity < 0:
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boundary_slice = [slice(None)] * 3
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shifted1_slice = [slice(None)] * 3
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boundary_slice[direction] = 0
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shifted1_slice[direction] = 1
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def en(e: fdfield_t):
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e[direction][boundary_slice] = 0
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e[u][boundary_slice] = e[u][shifted1_slice]
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e[v][boundary_slice] = e[v][shifted1_slice]
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return e
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def hn(h: fdfield_t):
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h[direction][boundary_slice] = h[direction][shifted1_slice]
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h[u][boundary_slice] = 0
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h[v][boundary_slice] = 0
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return h
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return en, hn
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if polarity > 0:
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boundary_slice = [slice(None)] * 3
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shifted1_slice = [slice(None)] * 3
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shifted2_slice = [slice(None)] * 3
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boundary_slice[direction] = -1
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shifted1_slice[direction] = -2
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shifted2_slice[direction] = -3
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def ep(e: fdfield_t):
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e[direction][boundary_slice] = -e[direction][shifted2_slice]
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e[direction][shifted1_slice] = 0
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e[u][boundary_slice] = e[u][shifted1_slice]
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e[v][boundary_slice] = e[v][shifted1_slice]
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return e
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def hp(h: fdfield_t):
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h[direction][boundary_slice] = h[direction][shifted1_slice]
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h[u][boundary_slice] = -h[u][shifted2_slice]
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h[u][shifted1_slice] = 0
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h[v][boundary_slice] = -h[v][shifted2_slice]
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h[v][shifted1_slice] = 0
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return h
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return ep, hp
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raise Exception('Bad polarity: {}'.format(polarity))
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