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Инд. авторы: Paasonen V.I.
Заглавие: Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations
Библ. ссылка: Paasonen V.I. Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations // Numerical Analysis and Applications. - 2018. - Vol.11. - Iss. 1. - P.60-72. - ISSN 1995-4239. - EISSN 1995-4247.
Внешние системы: DOI: 10.1134/S199542391801007X; РИНЦ: 35500416; SCOPUS: 2-s2.0-85043685190; WoS: 000427431900006;
Реферат: eng: In this paper, various difference schemes with oblique stencils, i.e., schemes using different space grids at different time levels, are studied. Such schemes may be useful in solving boundary value problems with moving boundaries, regular grids of a non-standard structure (for example, triangular or cellular ones), and adaptive methods. To study the stability of finite difference schemes with oblique stencils, we analyze the first differential approximation and dispersion. We study stability conditions as constraints on the geometric locations of stencil elements with respect to characteristics of the equation. We compare our results with a geometric interpretation of the stability of some classical schemes. The paper also presents generalized oblique schemes for a quasilinear equation of transport and the results of numerical experiments with these schemes.
Ключевые слова: FLUID-DYNAMICS; compact scheme; moving grid; adaptive grid; nonuniform grid; oblique stencil;
Издано: 2018
Физ. характеристика: с.60-72
1. Thompson, J.F., Grid Generation Techniques in Computational Fluid Dynamics, AIAA J., 1984, vol. 22, no. 11, pp. 1505-1523.
2. Rai, M.M. and Anderson, D.A., Application of Adaptive Grids to Fluid-Flow Problems with Asymptotic Solutions, AIAA J., 1982, vol. 20, no. 4, pp. 496-502.
3. Dwyer, H.A., Grid Adaptive for Problem in Fluid Dynamics, AIAA J., 1984, vol. 22, no. 12, pp. 1705-1712.
4. Liseikin, V.D., A Survey of Methods for Constructing Structured Adaptive Grids, Zh. Vych. Mat. Mat. Fiz., 1996, vol. 36, no. 1, pp. 3-41.
5. Khakimzyanov, G.S. and Shokina, N.Yu., Equidistribution Method for Constructing Adapting Grids, Vych. Tekhnol., 1998, vol. 3, no. 6, pp. 63-81.
6. Paasonen, V.I., Compact Third-Order Accuracy Schemes on Non-Uniform Adaptive Grids, Vych. Tekhnol., 2015, vol. 20, no. 2, pp. 56-64.
7. Paasonen, V.I., The Compact Schemes for System of Second-Order Equations without Mixed Derivatives, Russ. J. Num. An. Math. Modell., 1998, vol. 13, no. 4, pp. 335-344.
8. Shokin, Yu.I., The Method of the First Differential Approximation in the Theory of Difference Schemes for Hyperbolic Systems of Equations, Trudy MIAN SSSR, 1973, vol. 122, pp. 66-84.
9. Paasonen, V.I., Dissipative Implicit Schemes with Pseudo-Viscosity of Higher Order for Hyperbolic Systems of Equations, Chisl. Met. Mekh. Splosh. Sredy, 1973, vol. 4, no. 4, pp. 44-57.