Article ID Journal Published Year Pages File Type
522837 Journal of Computational Physics 2007 21 Pages PDF
Abstract

When the Navier–Stokes equations are solved on a colocated mesh, a spurious mode for the pressure can appear if no special attention is paid to the discretization of the pressure. This pressure mode can be suppressed by a pressure-weighted interpolation formula for the mass flux over a cell-face. In this paper, a similar cure is presented in the framework of pressure-correction methods in variable density flow. Special attention is given to the solvability condition for the resulting Poisson-like equation for the pressure. It consists of two remedies: a correction term for the cell-face velocity is introduced and the stencil for the discrete Laplacian is compacted. We finally show the applicability of the method on general curvilinear coordinate systems in three dimensions.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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