On Consistency of Finite Difference Approximations to the Navier-Stokes Equations

DOI10.1007/978-3-319-02297-0_4zbMath1412.65063arXiv1307.0914OpenAlexW1733793893MaRDI QIDQ5168459

Yu. A. Blinkov, Roberto La Scala, Vladimir P. Gerdt, Pierluigi Amodio

Publication date: 7 July 2014

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0914

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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A strongly-consistent difference scheme for 3D nonlinear Navier-Stokes equations ⋮ Investigation of difference schemes for two-dimensional Navier-Stokes equations by using computer algebra algorithms ⋮ Discretization of quasilinear evolution equations by computer algebra methods ⋮ Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals ⋮ Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations ⋮ On the consistency analysis of finite difference approximations ⋮ Algebraic construction of a strongly consistent, permutationally symmetric and conservative difference scheme for 3D steady Stokes flow ⋮ Symbolic-Numerical Optimization and Realization of the Method of Collocations and Least Residuals for Solving the Navier–Stokes Equations

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