A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">Viscosity</td><td align="center" colspan="2">RDF</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">its</td><td align="center">CPU</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td align="left">0.1</td><td align="center">12</td><td align="center">22.75374</td><td align="center">13</td><td align="center">15.90265</td></tr><tr><td align="left">0.01</td><td align="center">7</td><td align="center">20.93871</td><td align="center">9</td><td align="center">14.30008</td></tr><tr><td align="left">0.001</td><td align="center">5</td><td align="center">20.31654</td><td align="center">6</td><td align="center">13.36891</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

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

Journal of Applied Mathematics

tab5

Table 5

Table 5: A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations 