Convergence of coupled elliptic equations for separated flow problem

Abstract

An overrelaxation procedure, that includes accelerating parameters is applied to the coupled elliptic equations in order to reduce the computational time. The specific system is the finite-difference form of the Navier-Stokes equations for separated flow in a symmetric sudden-expansion channel. The convergence domain for the successive overrelaxation method and the values of accelerating parameters which allow one to choose optimum values in this domain are given. Numerically solutions are obtained for Reynolds numbers up to 2000. Reduction in computing time by a factor of 4 is obtained by using the optimum values of accelerating parameters.