Volume 13, Issue 1
Box—Line Relaxation Schemes for Solving the Steady Incompressible Navier—Stokes Equations Using Second—Order Upwind Differencing

J. Comp. Math., 13 (1995), pp. 32-50

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• Abstract

We extend the SCGS smoothing procedure (Symmetrical Collective Gauss--Seidel relaxation) proposed by S.~P.~Vanka$^{[4]}$, for multigrid solvers of the steady viscous incompressible Navier--Stokes equations, to corresponding line--wise versions. The resulting relaxation schemes are integrated into the multigrid solver based on second--order upwind differencing presented in~[5]. Numerical comparisons on the efficiency of point--wise and line--wise relaxations are presented.

• History

Published online: 1995-02

• Keywords