These are preliminary results for a standard driven cavity benchmark problem (Reynolds=100). We used (Q

The history of this calculation is as follows:

Step | CELLS | DOFS | u_{1}(0.5,0.5) |
u_{2}(0.5,0.5) |
---|---|---|---|---|

0 | 1 | 41 | -0.28125 | 9.22324-16 |

1 | 4 | 164 | -0.221458 | -0.022053 |

2 | 16 | 583 | -0.209956 | 0.0559840 |

3 | 64 | 2122 | -0.209039 | 0.057878 |

4 | 256 | 8013 | -0.209132 | 0.057600 |

5 | 1024 | 31056 | -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, 2017-01-31