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A New Fast Navier-Stokes Solver and Its Parallel Implementation

Norhashidah Hj Mohd Ali, and Abdul Rahman Abdullah (Abdullah A.R.), (1997) A New Fast Navier-Stokes Solver and Its Parallel Implementation. Malaysian Journal of Computer Science, 10 (2). pp. 51-59. ISSN 0127-9084

Full text not available from this repository.

Official URL: http://mjcs.fsktm.um.edu.my/detail.asp?AID=37

Affiliations

Universiti Sains Malaysia["lib/metafield:join_corp_creators" not defined]Universiti Kebangsaan Malaysia

Abstract

The Four-point Explicit Decoupled Group(EDG) iterative method was briefly introduced in solving a well known coupled system of elliptic partial differential equations in CFD (Computational Fluid Dynamics), in particular, the steady Navier-Stokes equations. This new method is compared with the Alternating Group Explicit (AGE) scheme. The numerical experiments carried out confirm the superiority of the former method over the latter in terms of execution time. The parallel implementation of the new method intended for a shared memory parallel computer is investigated and discussed.

Item Type:Journal
Additional Information:This note was added by the search_and_modify.pl script.
Keywords:Explicit decoupled group (EDG) method, numerical methods, Navier-Stokes equations, parallel algorithm, Alternating Group Explicit (AGE) method, Computational Fluid Dynamics (CFD)
Subjects:Q Science, Computer Science
ID Code:138

A.R. Abdullah, “The Four Point Explicit Decoupled Group (EDG) Method: A Fast Poisson Solver”, International Journal of Computer Mathematics, Vol. 38, 1991, pp. 61-70.

N.H.M. Ali and A.R. Abdullah, “Parallel Four Point Explicit Decoupled Group (EDG) Method For Elliptic PDE’s”, in Proceedings of the Seventh IASTED/ISMM International Conference On Parallel And Distributed Computing and Systems, Washington D. C., USA, 1995, pp. 302-304.

N.H.M. Ali and A.R. Abdullah, “Four point EDG: A Fast Solver for the Navier-Stokes Equation”, in Proceedings of the International Conference on Modelling Simulation and Optimization, Gold Coast, Australia, 1996.

I. Arsmah, The Study of the Iterative Solution of the Boundary Value Problems by the Finite Difference Methods, Ph.D. Thesis, Universiti Kebangsaan Malaysia, 1993.

A.J. Chorin, “Numerical Solution of the Navier- Stokes Equations”, Mathematics of Computation, Vol. 22, 1969, pp. 745-762.

G. Dahlquist and A. Bjorck, Numerical Methods, Prentice-Hall, Englewood Cliffs, NJ., 1974.

D. Greenspan, Discrete Numerical Methods in Physics and Engineering, Academic Press Inc., New York, 1974.

C.E. Pearson, “A Computational Method for Viscous Flow Problems”, Journal of Fluid Mechanics, Vol. 21, No. 4, 1965, pp. 611-622.

M.S. Sahimi and D.J. Evans, “The Numerical Solution of a Coupled System of Elliptic Equations Using The AGE Fractional Scheme”, International Journal of Computer Mathematics, Vol. 50, 1994, pp. 65-87.

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