A COUPLED MARCHING PROCEDURE FOR THE PARTIALLY PARABOLIZED NAVIER-STOKES EQUATIONS

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Abstract
A coupled finite-difference formulation is described for solving a reduced form of the compressible Navier-Stokes equations by a multiple space marching procedure. The properties of At equations are discussed and the solution algorithm presented. The scheme is used to compute incompressible flows by taking the incompressible limit(M ˜ 0.1) of the compressible formulation. A separate Poisson equation is not required for the pressure. Results are compared with experimental data and other numerical predictions for low Reynolds number channel inlet flow, flow over a rearward-facing step in a channel, and flow near the trailing edge of a flat plate.