Parallel multiblock high-order methods for 2D/3D incompressible flows

D. Drikakis, R. Zahner

Research output: Contribution to conferencePaper

Abstract

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.

Original languageEnglish
Publication statusPublished - 1 Dec 1996
EventProceedings of the 1996 7th UMIST Colloquium on Computational Fluid Dynamics - Manchester, United Kingdom
Duration: 2 May 19963 May 1996

Conference

ConferenceProceedings of the 1996 7th UMIST Colloquium on Computational Fluid Dynamics
CountryUnited Kingdom
CityManchester
Period2/05/963/05/96

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    Drikakis, D., & Zahner, R. (1996). Parallel multiblock high-order methods for 2D/3D incompressible flows. Paper presented at Proceedings of the 1996 7th UMIST Colloquium on Computational Fluid Dynamics, Manchester, United Kingdom.