Pisarev A.V., Khrapov S.S., Khoperskov A.V. The numerical scheme based on a combined SPH-TVD approach: simulation of shear flows
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Pisarev Andrey Vladimirovich
Postgraduate student, Department of Informatics Systems and Computing Modeling, Volgograd State University
Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
Khrapov Sergey Sergeevich
Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Informatics Systems and Computing Modeling, Volgograd State University
Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
Khoperskov Alexandr Valentinovich
Doctor of Physical and Mathematical Sciences, Professor, Head of Department of Informatics Systems and Computing Modeling, Volgograd State University
Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
Abstract. We discuss the problem of numerical simulation of shear flows on the example of Kelvin – Helmholtz instability. A numerical algorithm cSPH-TVD (combined SPH-TVD) adequately describes the dynamics of the instability of tangential discontinuity in the shallow water model.
Key words: numerical methods, hybrid methods, hyperbolic equations, Kelvin – Helmholtz instability, hydrodynamics.
The numerical scheme based on a combined SPH-TVD approach: simulation of shear flows by Pisarev A.V., Khrapov S.S., Khoperskov A.V. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №2 (15) 2011 pp. 138-141
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