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This article is cited in 1 scientific paper (total in 1 paper)
Computer modelling
Gasdynamic modeling on the basis of the Lagrangian and Euler scheme LES — ASG
A. V. Belousova, S. S. Khrapovb a Volgograd State University, Institute of Mathematics and Information Technologies
b Volgograd State University
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.
Keywords:
numerical schemes, LES, ASG, cSPH — TVD, MUSCL, Lagrangian and Euler scheme.
Citation:
A. V. Belousov, S. S. Khrapov, “Gasdynamic modeling on the basis of the Lagrangian and Euler scheme LES — ASG”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2015, no. 5(30), 36–51
Linking options:
https://www.mathnet.ru/eng/vvgum78 https://www.mathnet.ru/eng/vvgum/y2015/i5/p36
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Abstract page: | 97 | Full-text PDF : | 53 | References: | 37 |
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