Generalized MAC (Marker-and-Cell) Method for Incompressible Fluid Flow

摘要

A scheme for obtaining numerical solutions to the time-dependent incompressible fluid flow equations is presented. The method is designed for use on a computational grid of arbitrary polygons, and can be considered to be the Finite-Volume (FV) generalization of the Marker-and-Cell (MAC) method. A scheme resembling the advection method of van Leer is utilized in a way that yields second-order spatial accuracy and conditional stability with any level of fluid viscosity. The method is fully described in the presentation. Sample results are given for a variety of two-dimensional flow circumstances. These include non-viscous, viscous, steady, and unsteady flows on various non-orthogonal computational meshes. 10 refs., 7 figs. (ERA citation 12:012610)