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Solution of the incompressible Navier-Stokes equations using artificial compressibility methods

  • W. R. Briley
  • R. C. Buggeln
  • H. McDonald
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)

Abstract

A modified artificial compressibility formulation is derived from a preconditioned low Mach number compressible formulation, and these two methods are compared on a two-dimensional laminar leading edge flow using a LBI/ADI solution algorithm. The two methods are essentially equivalent with appropriate preconditioning parameters and have the same convergence rates and efficiency, giving 4 orders of residual reduction in about 75 iterations with a vectorized CRAY-XMP run time of 20 seconds for 3000 grid points.

Keywords

Mach Number Horseshoe Vortex Matrix Precondition Compressible Formulation Edge Flow 
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References

  1. 1.
    Chorin, A.J.: A Numerical Method for Solving Incompressible Viscous Flow Problems, J. Comp. Physics, Vol. 2, pp. 12–26, 1967.Google Scholar
  2. 2.
    Kwak, D., Chang, J.L.C., Shanks, S.P., and S.R. Chakravarthy: An Incompressible Navier-Stokes Flow Solver in Three-Dimensional Curvilinear Coordinate System Using Primitive Variables. AIAA Paper No. 84-0253, 1984.Google Scholar
  3. 3.
    Choi, D. and C.L. Merkle: Application of Time-Iterative Schemes to Incompressible Flow. AIAA J. Vol. 23, No. 10, pp. 1518–1524.Google Scholar
  4. 4.
    Briley, W.R., McDonald, H. and Shamroth, S.J.: A Low Mach Number Euler Formulation and Application to Time Iterative LBI Schemes, AIAA Journal, Vol. 21, No. 10, p. 1467–1469, October 1983.Google Scholar
  5. 5.
    Turkel, E.: Preconditioned Methods for Solving the Incompressible and Low Speed Compressible Equations. J. Comp. Physics, Vol. 72, pp. 277–298, 1987.Google Scholar
  6. 6.
    Merkle, C.L. and Y-H Choi: Computation of Low Speed Flow with Heat Addition, AIAA J., Vol. 25, No. 6, pp. 831–839, 1987.Google Scholar
  7. 7.
    Briley, W.R. and McDonald, H.: Solution of the Three-Dimensional Navier-Stokes Equations for a Steady Laminar Horseshoe Vortex Flow. AIAA Paper No. 85-1520-CP, 1985. *** DIRECT SUPPORT *** A3418252 00006Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • W. R. Briley
    • 1
  • R. C. Buggeln
    • 1
  • H. McDonald
    • 1
  1. 1.Scientific Research Associates, Inc.GlastonburyUSA

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