Mercurial > fem-fenics-eugenio
view example/NavierStokes/PressureUpdate.ufl @ 76:6cb2a3e3be68
New examples which solve vector field problems
* NS: solve the incompressible NS equations using the chorin-temam algorithm
* MixedPoisson: solve the Poisson equation using amixed formulation using DG and
Brezzi-Douglas-marini finite elements
author | gedeone-octave <marcovass89@hotmail.it> |
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date | Fri, 02 Aug 2013 23:01:39 +0200 |
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# Copyright (C) 2010 Anders Logg # # This file is part of DOLFIN. # # DOLFIN is free software: you can redistribute it and/or modify # it under the terms of the GNU Lesser General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # DOLFIN 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 Lesser General Public License for more details. # # You should have received a copy of the GNU Lesser General Public License # along with DOLFIN. If not, see <http://www.gnu.org/licenses/>. # # First added: 2010-08-30 # Last changed: 2010-09-01 # # The bilinear form a(u, v) and linear form L(v) for the pressure # update step in Chorin's method for the incompressible Navier-Stokes # equations. # # Compile this form with FFC: ffc -l dolfin PressureUpdate.ufl. # Define function spaces (P2-P1) V = VectorElement("CG", triangle, 2) Q = FiniteElement("CG", triangle, 1) # Define trial and test functions p = TrialFunction(Q) q = TestFunction(Q) # Define coefficients k = Constant(triangle) u1 = Coefficient(V) # Define bilinear and linear forms a = inner(grad(p), grad(q))*dx L = -(1/k)*div(u1)*q*dx