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The domain decomposition method and compact discretization for the Navier-Stokes equations

  • Jacek Rokicki
  • Jerzy M. Floryan
3. Numerical Methods and Algorithms d) Euler/Navier-Stokes Equations
Part of the Lecture Notes in Physics book series (LNP, volume 453)

Abstract

The domain decomposition method is considered as means for handling nonstandard geometries and for speeding up of calculations via multiprocessing. Different variants of this method are investigated anälytically for the model problem and verified numerically for the full Navier- Stokes equations. The proposed algorithm is based on the fourth-order compact discretization schemes for the Navier-Stokes equations in streamfunction-vorticity formulation expressed in terms of a general orthogonal curvilinear coordinate system.

Keywords

Domain Decomposition Domain Decomposition Method Curvilinear Coordinate System Orthogonal Curvilinear Coordinate System Vorticity Transport Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    S.C.R. Dennis, J.D. Hudson: J. Comput. Phys., 85, 390 (1989).CrossRefGoogle Scholar
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    M.M. Gupta, R.P. Manohar: J. Comput. Phys., 31, 265, (1979).CrossRefGoogle Scholar
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    J. Rokicki, J. M. Floryan: Report ESFD-3/93, Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada.Google Scholar
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    J. Rokicki, J. M. Floryan: Report ESFD-5/93, ibid.Google Scholar
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    J. Rokicki, J. M. Floryan: Report ESFD-1/93, ibid.Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Jacek Rokicki
    • 1
  • Jerzy M. Floryan
    • 2
  1. 1.Institute of Aeronautics and Applied MechanicsWarsaw University of TechnologyWarsawPoland
  2. 2.Department of Mechanical EngineeringThe University of Western OntarioLondonCanada

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