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On the convergence of iterative methods for solving the steady-state Navier-Stokes equations by finite differences

  • Markku Lindroos
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)

Keywords

Spectral Radius Vorticity Equation Numerical Diffusion Iteration Matrix Diagonal Dominance 
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References

  1. Allen, D.N. de G and Southwell, R.V. 1955 Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder. Quart. J. Mech. Appl. Math. 8, 129–145.Google Scholar
  2. Dennis, S.C.R.,and Chang, G.-Z. 1969 Numerical integration of the Navier-Stokes equations for steady two-dimensional flow. Phys. Fluids 12, Suppl. II, II-88–II-93.Google Scholar
  3. Dennis, S.C.R.,and Hudson, J.D. 1978 A difference method for solving the Navier-Stokes equations. In Proceedings of the First International Conference on Numerical Methods in Laminar and Turbulent Flow (edited by C. Taylor, K. Morgan, and C.A. Brebbia), pp. 69–80, Pentech Press, London.Google Scholar
  4. Lindroos, M. 1978 Numerical integration of the Navier-Stokes equations for steady flow past a wavelike bulge on a flat plate. Helsinki University of Technology, Laboratory of Aerodynamics, Report No. 78-A2.Google Scholar
  5. Ortega, J.M.,and Rheinboldt, W.C. 1970 Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York.Google Scholar
  6. Roache, P.J. 1972 Computational Fluid Dynamics. Hermosa Publishers, Albuquerque, New Mexico.Google Scholar
  7. Spalding, D.B. 1972 A novel finite difference formulation for differential expressions involving both first and second derivatives. Int. J. Num. Meth. Engng 4, 551–559.Google Scholar
  8. Young, D.M. 1971 Iterative Solution of Large Linear Systems. Academic Press, New York.Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Markku Lindroos
    • 1
  1. 1.Helsinki University of TechnologyEspoo 15Finland

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