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FEATool Multiphysics
v1.17.5
Finite Element Analysis Toolbox
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EX_NAVIERSTOKES3B 2D Flow around cylinder CFD benchmark.
[ DATA, FEA ] = EX_NAVIERSTOKES3B 2D Flow around cylinder CFD benchmark
CFD benchmarking script comparing the OpenFOAM and SU2 CFD solvers to the fully coupled and monolithic FEniCS and FEATool Multiphysics solvers, for a 2D stationary and incompressible flow around a cylinder test case.
[1] John V, Matthies G. Higher-order finite element discretizations in a benchmark problem for incompressible flows. International Journal for Numerical Methods in Fluids 2001.
[2] Nabh G. On higher order methods for the stationary incompressible Navier-Stokes equations. PhD Thesis, Universitaet Heidelberg, 1998.
% Define available solvers.
solvers = { 'FEATool', 'FEniCS', 'OpenFOAM', 'SU2' };
FEATOOL = 1;
FENICS = 2;
OPENFOAM = 3;
SU2 = 4;
% Define available grid cases.
grids = { 'Quad', 'Tri', 'TriU' };
QUAD = 1;
TRI = 2; % Structured triangles.
TRIU = 3; % Unstructured triangles.
% Define available FEM shape/basis functions.
D0 = 'sf_disc0';
D1 = 'sf_disc1';
P1 = 'sf_simp_P1';
P2 = 'sf_simp_P2';
Q1 = 'sf_quad_Q1';
Q2 = 'sf_quad_Q2';
% Set up benchmark test cases.
NLEV = 1:5; % Select grid levels.
cases = { FEATOOL, TRI, {P1,P1}, NLEV;
FEATOOL, TRI, {P2,P1}, NLEV(1:end-1);
FEATOOL, QUAD, {Q1,Q1}, NLEV;
FEATOOL, QUAD, {Q2,D1}, NLEV(1:end-1);
FENICS, TRI, {P1,P1}, NLEV;
FENICS, TRI, {P2,P1}, NLEV(1:end-1);
OPENFOAM, TRI, {D0,D0}, NLEV;
OPENFOAM, QUAD, {D0,D0}, NLEV;
SU2, TRI, {P1,P1}, NLEV;
SU2, QUAD, {Q1,Q1}, NLEV };
opt.basename = mfilename();
opt.solvers = solvers;
opt.grids = grids;
opt.cases = cases;
opt.fcn_fea = @l_setup_fea_struct;
opt.fcn_err = @l_dragliftpres;
opt.fcn_proc = @l_process_data;
[ data, fea ] = run_featool_benchmarks( opt );
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