Abstract
In the incompressible viscous fluid flow analyses, the backward-facing step flow problem has been investigated as a benchmark problem with the inflow and outflow boundary conditions for testing the effectiveness of a new numerical scheme. In this research, the corrected fourth-order finite difference method is employed for this fluid flow analysis. This method was originally proposed by authors through the error analysis approach and has been successfully applied for viscous fluid flow and natural convection problems in a square cavity. In this study, the backward-facing step now was simulated for the Reynolds numbers of 800 and 1000, and the steady solutions were obtained. The effects of the sizes of computational meshes to the reattachment lengths are investigated, and the mesh-independent solutions are obtained. We confirm the agreement of our results with other research works and the effectiveness of our corrected fourth-order finite difference method for viscous fluid flow analyses with inflow and outflow boundary conditions.
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