Bеlousov A.V., Khrapov S.S. Gasdynamic Modeling on the Basis of the Lagrangian and Euler Scheme LES-ASG

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http://dx.doi.org/10.15688/jvolsu1.2015.5.3

Bеlousov Anton Vladimirovich 

Student, Institute of Mathematics and IT,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Khrapov Sеrgеy Sеrgееvich Khrapov

Candidate of Physical and Mathematical Sciences, Associate Professor, Department of
Information Systems and Computer Simulation,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. In this work the numerical scheme LES-ASG which is modification of CSPH-TVD is considered in detail. Formulas of all stages of calculation with use of LF, HLL, HLLC methods for the solution of a task of Riemann are presented. Using LES-ASG it was succeeded to achieve more smooth distribution in comparison with CSPH-TVD. By results of comparison of LES-ASG and MUSCL it is possible to draw a conclusion on similarity of accuracy of numerical schemes. In this paper, compare the two types of solving the transport equation with inhomogeneous distribution of velocity, namely LES (Lagrange - Euler scheme) and MUSCL (Monotonic Upstream-Centered Scheme). According to the research we can assume that the scheme LES and MUSCL is equally well applicable for modeling the transport equation. The numerical scheme LES-ASG will be used as a basis for creation of the program complex aimed at modeling of gasdynamic currents with use of the OpenMP and CUDA technologies. 

Key words: numerical schemes, LES, ASG, cSPH-TVD, MUSCL, Lagrangian and Euler scheme.

Gasdynamic Modeling on the Basis of the Lagrangian and Euler Scheme LES-ASG by Bеlousov A.V., Khrapov S.S. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №5 (30) 2015 pp. 36-51

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