本文整理匯總了Python中dolfin.UnitSquareMesh.ufl_cell方法的典型用法代碼示例。如果您正苦於以下問題：Python UnitSquareMesh.ufl_cell方法的具體用法？Python UnitSquareMesh.ufl_cell怎麽用？Python UnitSquareMesh.ufl_cell使用的例子？那麽, 這裏精選的方法代碼示例或許可以為您提供幫助。您也可以進一步了解該方法所在類dolfin.UnitSquareMesh的用法示例。
在下文中一共展示了UnitSquareMesh.ufl_cell方法的1個代碼示例，這些例子默認根據受歡迎程度排序。您可以為喜歡或者感覺有用的代碼點讚，您的評價將有助於係統推薦出更棒的Python代碼示例。
示例1: Lid_driven_cavity
# 需要導入模塊: from dolfin import UnitSquareMesh [as 別名]
# 或者: from dolfin.UnitSquareMesh import ufl_cell [as 別名]
class Lid_driven_cavity(object):
def __init__(self):
n = 40
self.mesh = UnitSquareMesh(n, n, "crossed")
# Define mesh and boundaries.
class LeftBoundary(SubDomain):
def inside(self, x, on_boundary):
return on_boundary and x[0] < DOLFIN_EPS
class RightBoundary(SubDomain):
def inside(self, x, on_boundary):
return on_boundary and x[0] > 1.0 - DOLFIN_EPS
class LowerBoundary(SubDomain):
def inside(self, x, on_boundary):
return on_boundary and x[1] < DOLFIN_EPS
class UpperBoundary(SubDomain):
def inside(self, x, on_boundary):
return on_boundary and x[1] > 1.0 - DOLFIN_EPS
class RestrictedUpperBoundary(SubDomain):
def inside(self, x, on_boundary):
return (
on_boundary
and x[1] > 1.0 - DOLFIN_EPS
and DOLFIN_EPS < x[0]
and x[0] < 0.5 - DOLFIN_EPS
)
left = LeftBoundary()
right = RightBoundary()
lower = LowerBoundary()
upper = UpperBoundary()
# restricted_upper = RestrictedUpperBoundary()
# Be particularly careful with the boundary conditions.
# The main problem here is that the PPE system is consistent if and
# only if
#
# \int_\Omega div(u) = \int_\Gamma n.u = 0.
#
# This is exactly and even pointwise fulfilled for the continuous
# problem. In the discrete case, we can have to make sure that n.u is
# 0 all along the boundary.
# In the lid-driven cavity problem, of particular interest are the
# corner points at the lid. One has to assert that the z-component of u
# is 0 all across the lid, and the x-component of u is 0 everywhere but
# the lid. Since u is L2-"continuous", the lid condition on u_x must
# not be enforced in the corner points. The u_y component must be
# enforced all over the lid, including the end points.
V_element = FiniteElement("CG", self.mesh.ufl_cell(), 2)
self.W = FunctionSpace(self.mesh, V_element * V_element)
self.u_bcs = [
DirichletBC(self.W, (0.0, 0.0), left),
DirichletBC(self.W, (0.0, 0.0), right),
# DirichletBC(self.W.sub(0), Expression('x[0]'), restricted_upper),
DirichletBC(self.W, (0.0, 0.0), lower),
DirichletBC(self.W.sub(0), Constant("1.0"), upper),
DirichletBC(self.W.sub(1), 0.0, upper),
# DirichletBC(self.W.sub(0), Constant('-1.0'), lower),
# DirichletBC(self.W.sub(1), 0.0, lower),
# DirichletBC(self.W.sub(1), Constant('1.0'), left),
# DirichletBC(self.W.sub(0), 0.0, left),
# DirichletBC(self.W.sub(1), Constant('-1.0'), right),
# DirichletBC(self.W.sub(0), 0.0, right),
]
self.P = FunctionSpace(self.mesh, "CG", 1)
self.p_bcs = []
return