Comparison between the NWF and DC methods for implementing HR Schemes within a Fully Coupled Finite Volume Solver

Abstract

This paper reports on the performance of a high resolution implemented as part of an implicit fully coupled velocity‐pressure algorithm for the solution of laminar incompressible flow problems. The numerical implementation of high resolution convective schemes follows two techniques; (i) the Deferred Correction (DC) approach, and (ii) the Normalized Weighting Factor (NWF) method. The superiority of the NWF method over the DC approach is demonstrated by solving the sudden expansion in a square cavity problem. Results indicate that the number of iterations needed by the NWF solver is grid independent. Moreover, recorded CPU time values reveal that the NWF method substantially reduces the computational cost.