A primitive variable method for the solution of three-dimensional incompressible viscous flows

F. Sotiropoulos, S. Abdallah

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

In this paper we present a new primitive variable method for the solution of the three-dimensional, incompressible, Reynolds averaged Navier-Stokes equations in generalized curvilinear coordinates. The governing equations are discretized on a non-staggered grid and the discrete continuity equation is replaced by a discrete pressure-Poisson equation. The discrete pressure equation is designed in such a way that: (i) the compatibility condition for the Poisson-Neumann problem is automatically satisfied, and (ii) the discrete incompresibility constraint is satisfied to, at least, truncation error accuracy while the computed pressure is smooth. The momentum equations are integrated in time using the four-stage Runge-Kutta algorithm while the pressure equation is solved using the point-successive relaxation technique. The method is applied to calculate the turbulent flow field over a ship model. The computed results are in very good agreement with the experimental data.

Original languageEnglish (US)
Pages (from-to)336-349
Number of pages14
JournalJournal of Computational Physics
Volume103
Issue number2
DOIs
StatePublished - Dec 1992

Bibliographical note

Funding Information:
This work was sponsored by the oflice of Naval under the direction of Mr. James Fein.

Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

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