A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center">Original-matrix</td><td align="center">Matrix-simplification</td><td align="center">Matrix-simplification with SOR</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">2nd order</td><td align="center">0.311 [s]</td><td align="center">0.290 [s]</td><td align="center">0.281 [s]</td></tr><tr><td align="left">3rd order</td><td align="center">1.962 [s]</td><td align="center">1.264 [s]</td><td align="center">1.128 [s]</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

CPU time needed for advancing one time step for computing the laminar boundary layer flow.

Mathematical Problems in Engineering

tab2

Table 2

Table 2: A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes 