Abstract
Non-staggered, fractional step Navier-Stokes solvers are presented and analysed in comparison to a standard staggered solver. It is shown analytically that the non-staggered schemes have the same order of accuracy as the staggered scheme, although one of the schemes is non-elliptic in the pressure field at the grid scale. Numerical results are used to validate the analysis, with only the non-elliptic non-staggered scheme showing a reduced accuracy and efficiency compared to the staggered scheme. Details of a computer cluster built using Pentium 4 processors with a fast ethernet switch are presented. A serial benchmark demonstrates the excellent performance of the P4 for large array size compute intensive jobs, while both MPI and HPF coded parallel benchmarks show the effective parallel performance of the cluster.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Kim J, Moin P.: J. Comp. Physics 59, 308 (1985).
Armfield S.W. and Street R.: Journal of Computational Physics 153, 660 (1999).
Armfield S.W. and Street R.: ANZIAM J. 42, C13 (2000).
Armfield S.W. and Street R.: Int. J. for Numerical Methods in Fluids 38, 255 (2002).
Zang Y, Street R, Koseff J.: J. Comp. Physics 114, 18 (1994).
Rhie CM. and Chow W.L.: AIAA-82–0988 (1988).
Armfield S.W.: Computers and Fluids 20, 1 (1991).
Armfield S.W.: J. of Comp. Physics 114, 176 (1994).
William Gropp, Ewing Lusk, and Anthony Skjellum: Using MPI: Portable Parallel Programming with the Message-Passing Interface. (MIT Press, Cambridge, Massachusetts, 1994.).
Marc Snir, Steve Otto, Steven Huss-Lederman, David Walker, and Jack Dongarra. MPI-The Complete Reference: Volume 1, The MPI Core. (MIT Press, Cambridge, Massachusetts, second edition, 1998.).
Charles H. Koelbel, David B. Loveman, Robert S. Schreiber, Guy L. Steele Jr, and Mary E. Zosel. The High Performance Fortran Handbook. (Scientific and Engineering Computation Series. MIT Press, Cambridge, Massachusetts, 1994.)
R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. van der Vorst: Templates for the Solution of Linear Systems. (SIAM, Philadelphia, 1994.)
Magnus R. Hestenes and Eduard Stiefel: Journal of Research of the National Bureau of Standards, 49(6):409–437, 1952.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Armfield, S., Morgan, P., Norris, S., Street, R. (2003). A Parallel Non-Staggered Navier-Stokes Solver Implemented on a Workstation Cluster. In: Armfield, S.W., Morgan, P., Srinivas, K. (eds) Computational Fluid Dynamics 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59334-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-59334-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63938-8
Online ISBN: 978-3-642-59334-5
eBook Packages: Springer Book Archive