A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">Viscosity</td><td align="center" colspan="2">RDF</td><td align="center"></td><td align="center" colspan="2">New preconditioner</td></tr><tr class="thead"><td align="center">its</td><td align="center">CPU</td><td align="center"></td><td align="left">its</td><td align="center">CPU</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">0.1</td><td align="center">12</td><td align="center">22.86654</td><td align="center"></td><td align="center">13</td><td align="center">16.12583</td></tr><tr><td align="left">0.01</td><td align="center">7</td><td align="center">21.02928</td><td align="center"></td><td align="center">8</td><td align="center">14.34972</td></tr><tr><td align="left">0.001</td><td align="center">12</td><td align="center">22.81674</td><td align="center"></td><td align="center">16</td><td align="center">17.49554</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Iterations of preconditioned GMRES(30) for generalized Oseen problem (Newton, Q2-Q1, 128 × 128 uniform grids).

Journal of Applied Mathematics

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Table 6

Table 6: A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations 