Constructing the Numerical Method for Navier — Stokes Equations Using Computer Algebra System
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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.
KeywordsReynolds Number Stokes Equation Linear Algebraic Equation Computer Algebra System Convergence Order
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