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Article information
2000 , Volume 5, ¹ 5, p.78-85
Paasonen V.I.
A third-order approximation scheme on a non-unoform grid for Navier-Stokes equations
A system of Navier-Stokes equations with respect to variable stream function and velocity vortex is considered. The aim of this work is to construct a compact scheme which is defined on a pattern with the dimensions 3x3 on a rectangular non-uniform grid. A third-order approximation scheme has been constructed. In the particular case of a uniform grid this scheme has the fourth order of approximation. The stability of the linearized scheme has been investigated and stability criterion has been obtained.
[full text] Classificator Msc2000:- *76D05 Navier-Stokes equations
- 76M20 Finite difference methods
Keywords: Navier-Stokes equations, streamfunction-vorticity formulation, Poisson equation, rectangular nonuniform grid, linearized scheme, stability criterion, numerical stability, compact third-order approximation scheme
Author(s):
Paasonen Viktor Ivanovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: paas@ict.nsc.ru
Bibliography link:
Paasonen V.I. A third-order approximation scheme on a non-unoform grid for Navier-Stokes equations // Computational technologies. 2000. V. 5. ¹ 5. P. 78-85
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