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Constructing the Numerical Method for Navier — Stokes Equations Using Computer Algebra System

  • Leonid Semin
  • Vasily Shapeev
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3718)

Abstract

The present study demonstrates a very helpful role of computer algebra systems (CAS) for deriving and testing new numerical methods. We use CAS to construct and test a new numerical method for solving boundary – value problems for the 2D Navier — Stokes equations governing steady incompressible viscous flows. We firstly describe the core of the method and the algorithm of its construction, then we describe the implementation in CAS for deriving formulas of the method and for testing them, and finally we give some numerical results and concluding remarks.

Keywords

Reynolds Number Stokes Equation Linear Algebraic Equation Computer Algebra System Convergence Order 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Leonid Semin
    • 1
  • Vasily Shapeev
    • 1
  1. 1.Institute of Theoretical and Applied Mechanics SB RASNovosibirskRussia

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