Driven cavity

Driven cavity benchmark problem


These are preliminary results for a standard driven cavity benchmark problem (Reynolds=100). We used (Q3)2/Q2 Taylor-Hood finite elements for discretization and solved with a Newton iteration and multigrid.

The history of this calculation is as follows:

Step CELLS DOFS TIME u1(0.5,0.5) u2(0.5,0.5)
0 1 41 0.6 -0.28125 9.22324-16
1 4 164 7.6 -0.221458 -0.022053
2 16 583 27.9 -0.209956 0.0559840
3 64 2122 97.2 -0.209039 0.057878
4 256 8013 365.7 -0.209132 0.057600
5 1024 31056 1421.2 -0.209148 0.057543

These values agree well with values obtained by a reference computation with the pde toolbox UG. Unfortunately, the convergence is still too slow, because uniform mesh refinement was used. This is clearly suboptimal here because of the corner singularities.

Nicolas Neuss, 2004-06-06