Abstract
The discretization of a convection term is very important in viscous fluid flow analysis. In this paper, two fourth-order finite difference methods are proposed for the convection term. one is the fourth-order weighted average method (FWA) and the other is its corrected method (FWA(C)) . FWA is a combination of (a centered difference)×W and (an upstream difference)×(1-W), where W is a weighting parameter. FWA(C) was proposed using the error analysis approach for FWA. FWA(C) and FWA were applied for two-dimensional square cavity problems up to the Reynolds numbers of 5000 using uniform mesh sizes. FWTA(C) was found to give a faster convergence rate than FWA and the effectiveness of FWA (C) (W=0) was confirmed by comparing with other research works.
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