Most methods using primitive variables for the solution of the incompressible Navier-Stokes equations can be classified into two broad categories. One is the pressure-Poisson method according to which a Poisson equation or a specially formulated 'correction' equation is solved for the pressure at each iteration such that the continuity equation will be satisfied. The other category is that of artificial compressibility, according to which a pressure time-derivative is added to the continuity equation, and therefore the inviscid part of the governing equations takes a hyperbolic form. Any method for solving a hyperbolic system of equations can be used to discretise the convection terms, whereas the viscous terms are usually discretized by central differences. In the past, several research works have documented the accuracy and efficiency of Riemann solvers and upwind schemes for compressible flows. However, little experience has been accumulated concerning the extension of such methods to incompressible flows.
|Published - 1 Dec 1996
|Proceedings of the 1996 7th UMIST Colloquium on Computational Fluid Dynamics - Manchester, United Kingdom
Duration: 2 May 1996 → 3 May 1996
|Proceedings of the 1996 7th UMIST Colloquium on Computational Fluid Dynamics
|2/05/96 → 3/05/96