A RIEMANN‐PROBLEM‐BASED APPROACH FOR STEADY INCOMPRESSIBLE FLOWS

Abstract

A new approach for solving steady incompressible Navier‐Stokes equations is presented in this paper. This method extends the upwind Riemann‐problem‐based techniques to viscous flows, which is obtained by applying modified artificial compressibility Navier‐Stokes equations and fully discrete high‐order numerical schemes for systems of advection‐diffusion equations. In this approach, utilizing the local Riemann solutions the steady incompressible viscous flows can be solved in a similar way to that of inviscid hyperbolic conservation laws. Numerical experiments on the driven cavity problem indicate that this approach can give satisfactory solutions.

Citation

SHI, J. and TORO, E.F. (1996), "A RIEMANN‐PROBLEM‐BASED APPROACH FOR STEADY INCOMPRESSIBLE FLOWS", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 6 No. 7, pp. 81-93. https://doi.org/10.1108/eb017553