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_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_assign_get_global_dofs(self):
#
# Assigning Dofs to entities within cell
#
# =====================================================================
# 1D
# =====================================================================
mesh = Mesh1D(resolution=(1,))
cell = mesh.cells.get_child(0)
etypes = ['DQ0', 'DQ1', 'DQ2', 'DQ3']
#
# Expected Dofs
#
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = {'all': [0], 'pos': ([0], [2]), 'vertex': None, 'edge': None}
edofs['DQ1'] = {'all': [0,1], 'pos': ([1], [3]), 'vertex': (1, [1]), 'edge': None}
edofs['DQ2'] = {'all': [0,1,2], 'pos': ([2], [6]), 'vertex': (1, [1]), 'edge': [3]}
edofs['DQ3'] = {'all': [0,1,2,3], 'pos': ([3], [6]), 'vertex': (1, [1]), 'edge': [3,4]}
for etype in etypes:
#
# New Dofhandler
#
element = QuadFE(1,etype)
dh = DofHandler(mesh, element)
for key in edofs[etype].keys():
#
# Assign all dofs
#
if key=='all':
dh.assign_dofs(edofs[etype][key], cell)
self.assertEqual(dh.get_cell_dofs(cell), edofs[etype][key])
#
# Assign dofs at given positions
#
elif key=='pos':
pos, dofs = edofs[etype]['pos']
dh.assign_dofs(dofs, cell, pos=pos)
self.assertEqual(dh.get_cell_dofs(cell)[pos[0]], dofs[0])
#
# Assign dofs to given vertex
#
elif key=='vertex':
if edofs[etype]['vertex'] is not None:
v_num, dofs = edofs[etype]['vertex']
vertex = cell.get_vertex(v_num)
dh.assign_dofs(dofs, cell, vertex)
self.assertEqual(dh.get_cell_dofs(cell, vertex), dofs)
#
# Assign dofs to interval
#
elif key=='edge':
if edofs[etype][key] is not None:
dofs = edofs[etype][key]
dh.assign_dofs(dofs, cell, cell)
self.assertEqual(dh.get_cell_dofs(cell, cell, interior=True), dofs)
#
# Clear dofs to reuse DofHandler
#
dh.clear_dofs()
# =====================================================================
# 2D
# =====================================================================
# New mesh
mesh = Mesh2D(resolution=(1,1))
cell = mesh.cells.get_child(0)
etypes = ['DQ0', 'Q1', 'Q2', 'Q3']
#
# List of dofs to assign and check
#
edofs = dict.fromkeys(etypes)
edofs['DQ0'] = {'all': [0], 'pos': ([0],[2]) ,
'vertex': None, 'edge': None, 'cell': [0] }
edofs['Q1'] = {'all': [0,1,2,3], 'pos': ([1],[2]),
'vertex': (1,[2]), 'edge': None, 'cell': None }
edofs['Q2'] = {'all': [0,1,2,3,4,5,6,7,8], 'pos': ([5],[7]) ,
'vertex': (3,[4]), 'edge': (2, [1]), 'cell': [1] }
edofs['Q3'] = {'all': [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15], 'pos': ([11],[111]),
'vertex': (3,[1]), 'edge': (3,[2,3]), 'cell': [1,2,3,4]}
for etype in etypes:
# New element adn Dofhandler
element = QuadFE(2, etype)
dh = DofHandler(mesh, element)
for key in edofs[etype].keys():
#
# Assign all dofs
#
if key=='all':
dh.assign_dofs(edofs[etype][key], cell)
self.assertEqual(dh.get_cell_dofs(cell), edofs[etype][key])
#
# Assign dofs to specific position
#
elif key=='pos':
pos, dofs = edofs[etype][key]
dh.assign_dofs(dofs, cell, pos=pos)
self.assertEqual(dh.get_cell_dofs(cell)[pos[0]],dofs[0])
#
# Assign dof to specific vertex
#
elif key=='vertex':
if edofs[etype][key] is not None:
v_num, dofs = edofs[etype][key]
vertex = cell.get_vertex(v_num)
dh.assign_dofs(dofs, cell, vertex)
self.assertEqual(dh.get_cell_dofs(cell, vertex), dofs)
#
# Assign dofs to specific edge
#
elif key=='edge':
if edofs[etype][key] is not None:
e_num, dofs = edofs[etype][key]
he = cell.get_half_edge(e_num)
dh.assign_dofs(dofs, cell, he)
self.assertEqual(dh.get_cell_dofs(cell, he, interior=True),dofs)
#
# Assign dofs to cell interior
#
elif key=='cell':
if edofs[etype][key] is not None:
dofs = edofs[etype][key]
dh.assign_dofs(dofs, cell, cell)
self.assertEqual(dh.get_cell_dofs(cell, cell, interior=True), dofs)
#
# Clear dofs to re-use DofHandler
#
dh.clear_dofs()
