view devel/example/Ficticious_Domain/Steady_state/no_slip_bc/A.ufl @ 191:0c748179f6d4

Steady NS with no slip BC.
author gedeone-octave <marcovass89@hotmail.it>
date Sun, 10 Nov 2013 19:32:47 +0000
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## Copyright (C) 2013 Marco Vassallo <gedeone-octave@users.sourceforge.net>
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.

P2  = VectorElement("CG", triangle, 2)
P1  = FiniteElement("CG", triangle, 1)
P0  = FiniteElement("DG", triangle, 0)
TH  = P2


u = TrialFunction(TH)
v = TestFunction(TH)

nu  = Coefficient(P0)
sig = Coefficient(P0)
u0 = Coefficient(P2)
f = Coefficient(P2)

a = (nu * inner (grad (u), grad (v)) + sig * (inner (u, v)) + inner(grad(u)*u0, v)) * dx
L = (inner(f, v))*dx