Analysis and Application of an efficient line solver based upon the Symmetrical Coupled Gauss-Seidel Scheme

摘要

This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical Coupled Gauss-Seidel/Line Solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case.