Source code for ember.periodic

"""Periodic boundary condition patch for EMBER CFD.

PeriodicPatch connects coincident or circumferentially periodic block faces.
Connectivity is detected automatically and conserved variables are averaged
at each time step to enforce periodicity.

See Also
--------
ember.patch.Patch : Base class for all patches
"""

import itertools

import numpy as np

from ember.basepatch import Patch


[docs] class PeriodicPatch(Patch): """Connected boundary to another block. This applies to patches which are exactly coincident, and patches which are periodic in the circumferential direction of an annular domain. The patches should come in pairs, and connectivity between the two patches is detected automatically. The conserved variables on the two patches are averaged at each time step to enforce periodicity. """ _collection_name = "periodic" def _get_viable_transforms(self, other_shape): """Get viable permutation/flip combinations based on patch shapes. Parameters ---------- other_shape : tuple Shape of the other patch to match Returns ------- list List of (perm, flip) tuples that could map self.shape to other_shape """ self_shape = np.array(self.shape) other_shape = np.array(other_shape) transforms = [] # Generate all permutations for perm in itertools.permutations([0, 1, 2]): for r in range(4): for flip in itertools.combinations([0, 1, 2], r=r): # Must map other shape onto this shape if tuple(self_shape) == tuple(other_shape[list(perm)]): # Must not flip any unit dimensions if not any(self_shape[i] == 1 for i in flip): transforms.append((perm, flip)) return transforms
[docs] def check_match(self, other, rtol=1e-6): """Check if this PeriodicPatch matches another for pairing purposes. PeriodicPatch matching requires all x, r, t coordinates to match within tolerance, accounting for periodicity in theta and allowing for permutations and flips. Parameters ---------- other : Patch The other patch to compare with rtol : float, optional Relative tolerance for matching Returns ------- Optional[Tuple[tuple, tuple]] (perm, flip) if patches match, None otherwise """ if not isinstance(other, PeriodicPatch): return None if self.size != other.size: return None if self.block.Nb != other.block.Nb: return None transforms = self._get_viable_transforms(other.shape) for transform in transforms: if not self._compare_coords(other, transform, corners_only=True, rtol=rtol): continue if self._compare_coords(other, transform, corners_only=False, rtol=rtol): return transform return None