def test_clear_dofs(self):
# Define new dofhandler
mesh = Mesh2D(resolution=(1,1))
cell = mesh.cells.get_child(0)
element = QuadFE(2, 'Q2')
dofhandler = DofHandler(mesh, element)
# Fill dofs
dofhandler.fill_dofs(cell)
# Clear dofs
dofhandler.clear_dofs()
# Check that there are no dofs
self.assertIsNone(dofhandler.get_cell_dofs(cell))
def test_share_dofs_with_children(self):
#
# 1D Test
#
mesh = Mesh1D(resolution=(1,))
mesh.cells.refine()
for etype in ['DQ0','DQ1', 'DQ2', 'DQ3', 'Q1', 'Q2', 'Q3']:
# New DofHandler
element = QuadFE(1, etype)
dh = DofHandler(mesh, element)
# Fill in parent dofs and share with children
cell = mesh.cells.get_child(0)
dh.fill_dofs(cell)
dh.share_dofs_with_children(cell)
# Expected dofs for children
left_child_dofs = {'DQ0': [None],
'DQ1': [0, None],
'DQ2': [0, 2, None],
'DQ3': [0, None, None, 2],
'Q1': [0, None],
'Q2': [0, 2, None],
'Q3': [0, None, None, 2]}
right_child_dofs = {'DQ0': [None],
'DQ1': [None, 1],
'DQ2': [None, 1, None],
'DQ3': [None, 1, 3, None],
'Q1':[None, 1],
'Q2': [2, 1, None],
'Q3': [None, 1, 3, None]}
left_child = cell.get_child(0)
right_child = cell.get_child(1)
#
# Check whether shared dofs are as expected.
#
self.assertEqual(dh.get_cell_dofs(left_child), left_child_dofs[etype])
self.assertEqual(dh.get_cell_dofs(right_child), right_child_dofs[etype])
#
# 2D Test
#
mesh = QuadMesh(resolution=(1,1))
mesh.cells.refine()
for etype in ['DQ0','DQ1', 'DQ2', 'DQ3', 'Q1', 'Q2', 'Q3']:
# New dofhandler
element = QuadFE(2, etype)
dh = DofHandler(mesh, element)
# Fill in parent dofs and share with children
cell = mesh.cells.get_child(0)
dh.fill_dofs(cell)
dh.share_dofs_with_children(cell)
# Expected dofs for children
child_dofs = {0: {'DQ0': [None],
'DQ1': [0, None, None, None],
'DQ2': [0, 4, 8, 7, None, None, None, None, None],
'DQ3': [0, None, None, None, None, 4, None, None,
None, None, 11, None, None, None, None, 12],
'Q1': [0, None, None, None],
'Q2': [0, 4, 8, 7, None, None, None, None, None],
'Q3': [0, None, None, None, None, 4, None, None,
None, None, 11, None, None, None, None, 12]},
1: {'DQ0': [None],
'DQ1': [None, 1, None, None],
'DQ2': [None, 1, 5, None, None, None, None, None, None],
'DQ3': [None, 1, None, None, 5, None, None, 6,
None, None, None, None, None, None, 13, None],
'Q1': [None, 1, None, None],
'Q2': [4, 1, 5, 8, None, None, None, None, None],
'Q3': [None, 1, None, None, 5, None, None, 6,
None, None, None, None, None, None, 13, None]},
2: {'DQ0': [None],
'DQ1': [None, None, 2, None],
'DQ2': [None, None, 2, 6, None, None, None, None, None],
'DQ3': [None, None, 2, None, None, None, 7, None,
None, 8, None, None, 15, None, None, None],
'Q1': [None, None, 2, None],
'Q2': [8, 5, 2, 6, None, None, None, None, None],
'Q3': [None, None, 2, None, None, None, 7, None,
None, 8, None, None, 15, None, None, None]},
3: {'DQ0': [None],
'DQ1': [None, None, None, 3],
'DQ2': [None, None, None, 3, None, None, None, None, None],
'DQ3': [None, None, None, 3, None, None, None,
None, 9, None, None, 10, None, 14, None, None],
'Q1': [None, None, None, 3],
'Q2': [7, 8, 6, 3, None, None, None, None, None],
'Q3': [None, None, None, 3, None, None, None,
None, 9, None, None, 10, None, 14, None, None]}}
for i in range(4):
child = cell.get_child(i)
#
# Check whether shared dofs are as expected
#
self.assertEqual(dh.get_cell_dofs(child), child_dofs[i][etype])
def test_share_dofs_with_neighbors(self):
# =====================================================================
# 1D
# =====================================================================
#
# Non-Periodic
#
# Define new mesh
mesh = Mesh1D(resolution=(2,))
lcell = mesh.cells.get_child(0)
rcell = mesh.cells.get_child(1)
etypes = ['DQ0','DQ1', 'DQ2', 'DQ3', 'Q1', 'Q2', 'Q3']
# Specify expected dofs
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = None
edofs['DQ1'] = None
edofs['DQ2'] = None
edofs['DQ3'] = None
edofs['Q1'] = [1, None]
edofs['Q2'] = [1, None, None]
edofs['Q3'] = [1, None, None, None]
for etype in etypes:
# New Dofhandler
element = QuadFE(1,etype)
dh = DofHandler(mesh, element)
# Fill left dofs and share with right neighbor
dh.fill_dofs(lcell)
dh.share_dofs_with_neighbors(lcell, lcell.get_vertex(1))
self.assertEqual(dh.get_cell_dofs(rcell), edofs[etype])
dh.clear_dofs()
# Fill left dofs and share with all neighbors
dh.fill_dofs(lcell)
dh.share_dofs_with_neighbors(lcell)
self.assertEqual(dh.get_cell_dofs(rcell), edofs[etype])
#
# Periodic
#
# Define new mesh
mesh = Mesh1D(resolution=(2,), periodic=True)
lcell = mesh.cells.get_child(0)
rcell = mesh.cells.get_child(1)
# Specify expected dofs
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = {'right': None, 'all': None}
edofs['DQ1'] = {'right': None, 'all': None}
edofs['DQ2'] = {'right': None, 'all': None}
edofs['DQ3'] = {'right': None, 'all': None}
edofs['Q1'] = {'right': [1, None], 'all': [1, 0]}
edofs['Q2'] = {'right': [1, None, None], 'all': [1, 0, None]}
edofs['Q3'] = {'right': [1, None, None, None],
'all': [1, 0, None, None]}
for etype in etypes:
# New Dofhandler
element = QuadFE(1,etype)
dh = DofHandler(mesh, element)
# Fill left dofs and share with right neighbor
dh.fill_dofs(lcell)
dh.share_dofs_with_neighbors(lcell, lcell.get_vertex(1))
self.assertEqual(dh.get_cell_dofs(rcell), edofs[etype]['right'])
dh.clear_dofs()
# Fill left dofs and share with all neighbors
dh.fill_dofs(lcell)
dh.share_dofs_with_neighbors(lcell)
self.assertEqual(dh.get_cell_dofs(rcell), edofs[etype]['all'])
# =====================================================================
# 2D
# =====================================================================
#
# Non-periodic
#
mesh = Mesh2D(resolution=(2,2))
c00 = mesh.cells.get_child(0)
c10 = mesh.cells.get_child(1)
c11 = mesh.cells.get_child(3)
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ1'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ2'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ3'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['Q1'] = {'vertex': {c10: [2], c11: [2]},
'edge': {c10: None, c11: None},
'all': {c10: [1,None, None, 2],
c11: [2, None, None, None]}}
edofs['Q2'] = {'vertex': {c10: [2], c11: [2]},
'edge': {c10: [5], c11: None},
'all': {c10: [1, None, None, 2, None, None, None, 5, None],
c11: [2] + [None]*8}}
edofs['Q3'] = {'vertex': {c10: [2], c11: [2]},
'edge': {c10: [7,6], c11: None},
'all': {c10: [1, None, None, 2, None, None, None, None,
None, None, 7, 6, None, None, None, None],
c11: [2] + [None]*15}}
for etype in etypes:
# New element
element = QuadFE(2, etype)
# New dofhandler
dh = DofHandler(mesh, element)
# ***************************
# Share dofs accross vertex 2
# ***************************
# Fill
dh.fill_dofs(c00)
# Share
vertex = c00.get_vertex(2)
dh.share_dofs_with_neighbors(c00, vertex)
# Check
self.assertEqual(dh.get_cell_dofs(c10, vertex), edofs[etype]['vertex'][c10])
self.assertEqual(dh.get_cell_dofs(c11, vertex), edofs[etype]['vertex'][c11])
# Clear
dh.clear_dofs()
# *****************************
# Share dofs across half_edge 1
# *****************************
# Fill
dh.fill_dofs(c00)
# Share
edge = c00.get_half_edge(1)
twin = edge.twin()
dh.share_dofs_with_neighbors(c00, edge)
# Check
self.assertEqual(dh.get_cell_dofs(c10, twin, interior=True), edofs[etype]['edge'][c10])
self.assertEqual(dh.get_cell_dofs(c11, twin, interior=True), edofs[etype]['edge'][c11])
# Clear
dh.clear_dofs()
# *****************************
# Share dofs with all neighbors
# *****************************
# Fill
dh.fill_dofs(c00)
# Share
dh.share_dofs_with_neighbors(c00)
# Check
self.assertEqual(dh.get_cell_dofs(c10), edofs[etype]['all'][c10])
self.assertEqual(dh.get_cell_dofs(c11), edofs[etype]['all'][c11])
#
# Periodic in both directions
#
mesh = Mesh2D(resolution=(2,2), periodic={0,1})
c00 = mesh.cells.get_child(0)
c10 = mesh.cells.get_child(1)
c11 = mesh.cells.get_child(3)
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ1'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ2'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['DQ3'] = {'vertex': {c10: None, c11: None},
'edge': {c10: None, c11: None},
'all': {c10: None, c11: None}}
edofs['Q1'] = {'vertex': {c10: [0], c11: [0]},
'edge': {c10: None, c11: None},
'all': {c10: [1,0, 3, 2],
c11: [2, 3, 0, 1]}}
edofs['Q2'] = {'vertex': {c10: [0], c11: [0]},
'edge': {c10: [7], c11: None},
'all': {c10: [1, 0, 3, 2, None, 7, None, 5, None],
c11: [2,3,0,1] + [None]*5}}
edofs['Q3'] = {'vertex': {c10: [0], c11: [0]},
'edge': {c10: [11,10], c11: None},
'all': {c10: [1, 0, 3, 2, None, None, 11, 10,
None, None, 7, 6, None, None, None, None],
c11: [2,3,0,1] + [None]*12}}
for etype in etypes:
# New element
element = QuadFE(2, etype)
# New dofhandler
dh = DofHandler(mesh, element)
# ***************************
# Share dofs accross vertex 0
# ***************************
# Fill
dh.fill_dofs(c00)
# Share
vertex = c00.get_vertex(0)
self.assertTrue(vertex.is_periodic())
dh.share_dofs_with_neighbors(c00, vertex)
# Check
c10_vertex = vertex.get_periodic_pair(c10)[0]
self.assertEqual(dh.get_cell_dofs(c10, c10_vertex), edofs[etype]['vertex'][c10])
c11_vertex = vertex.get_periodic_pair(c11)[0]
self.assertEqual(dh.get_cell_dofs(c11, c11_vertex), edofs[etype]['vertex'][c11])
# Clear
dh.clear_dofs()
# *****************************
# Share dofs across half_edge 3
# *****************************
# Fill
dh.fill_dofs(c00)
# Share
edge = c00.get_half_edge(3)
twin = edge.twin()
dh.share_dofs_with_neighbors(c00, edge)
# Check
self.assertEqual(dh.get_cell_dofs(c10, twin, interior=True), edofs[etype]['edge'][c10])
self.assertEqual(dh.get_cell_dofs(c11, twin, interior=True), edofs[etype]['edge'][c11])
# Clear
dh.clear_dofs()
# *****************************
# Share dofs with all neighbors
# *****************************
# Fill
dh.fill_dofs(c00)
# Share
dh.share_dofs_with_neighbors(c00)
# Check
self.assertEqual(dh.get_cell_dofs(c10), edofs[etype]['all'][c10])
self.assertEqual(dh.get_cell_dofs(c11), edofs[etype]['all'][c11])
def test_fill_dofs(self):
etypes = ['DQ0', 'DQ1','DQ2', 'DQ3', 'Q1', 'Q2', 'Q3']
# =====================================================================
# 1D
# =====================================================================
#
# Non-periodic
#
mesh = Mesh1D(resolution=(1,))
expected_dofs = {'DQ0': [0],
'DQ1': [0,1],
'DQ2': [0,1,2],
'DQ3': [0,1,2,3],
'Q1': [0,1],
'Q2': [0,1,2],
'Q3': [0,1,2,3]}
cell = mesh.cells.get_child(0)
for etype in etypes:
element = QuadFE(1, etype)
dofhandler = DofHandler(mesh, element)
dofhandler.fill_dofs(cell)
dofs = dofhandler.get_cell_dofs(cell)
self.assertEqual(expected_dofs[etype], dofs)
#
# Periodic
#
mesh = Mesh1D(resolution=(1,), periodic=True)
expected_dofs = {'DQ0': [0],
'DQ1': [0,1],
'DQ2': [0,1,2],
'DQ3': [0,1,2,3],
'Q1': [0,0],
'Q2': [0,0,1],
'Q3': [0,0,1,2]}
cell = mesh.cells.get_child(0)
for etype in etypes:
element = QuadFE(1, etype)
dofhandler = DofHandler(mesh, element)
dofhandler.fill_dofs(cell)
dofs = dofhandler.get_cell_dofs(cell)
self.assertEqual(dofs, expected_dofs[etype])
# =====================================================================
# 2D
# =====================================================================
#
# Non-periodic
#
mesh = Mesh2D(resolution=(1,1))
cell = mesh.cells.get_child(0)
expected_dofs = {'DQ0': [0],
'DQ1': [0,1,2,3],
'DQ2': [0,1,2,3,4,5,6,7,8],
'DQ3': [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],
'Q0': [0],
'Q1': [0,1,2,3],
'Q2': [0,1,2,3,4,5,6,7,8],
'Q3': [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]}
for etype in etypes:
element = QuadFE(2, etype)
dofhandler = DofHandler(mesh, element)
dofhandler.fill_dofs(cell)
dofs = dofhandler.get_cell_dofs(cell)
self.assertEqual(dofs, expected_dofs[etype])
#
# Periodic x direction
#
mesh = Mesh2D(resolution=(1,1), periodic={0})
cell = mesh.cells.get_child(0)
expected_dofs = {'DQ0': [0],
'DQ1': [0,1,2,3],
'DQ2': [0,1,2,3,4,5,6,7,8],
'DQ3': [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],
'Q0': [0],
'Q1': [0,0,1,1],
'Q2': [0,0,1,1,2,3,4,3,5],
'Q3': [0,0,1,1,2,3,4,5,6,7,5,4,8,9,10,11]}
for etype in etypes:
element = QuadFE(2, etype)
dofhandler = DofHandler(mesh, element)
dofhandler.fill_dofs(cell)
dofs = dofhandler.get_cell_dofs(cell)
self.assertEqual(dofs, expected_dofs[etype])
#
# Periodic in both directions
#
mesh = Mesh2D(resolution=(1,1), periodic={0,1})
cell = mesh.cells.get_child(0)
expected_dofs = {'DQ0': [0],
'DQ1': [0,1,2,3],
'DQ2': [0,1,2,3,4,5,6,7,8],
'DQ3': [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],
'Q0': [0],
'Q1': [0,0,0,0],
'Q2': [0,0,0,0,1,2,1,2,3],
'Q3': [0,0,0,0,1,2,3,4,2,1,4,3,5,6,7,8]}
for etype in etypes:
element = QuadFE(2, etype)
dofhandler = DofHandler(mesh, element)
dofhandler.fill_dofs(cell)
dofs = dofhandler.get_cell_dofs(cell)
self.assertEqual(dofs, expected_dofs[etype])
