Bеlousov A.V., Khrapov S.S. Development of the Program for Numerical Gasdynamic Modeling on the Basis of Lagrange – Euler Scheme the LES – ASG

http://dx.doi.org/10.15688/jvolsu1.2015.1.4

Bеlousov Anton Vladimirovich

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

Khrapov Sеrgеy Sеrgееvich

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 paper, the authors 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). Computational experiments LES schemes and MUSCL, using a piecewise linear and piecewise constant reconstruction, for solving the transport equation with inhomogeneous distribution of velocity. Note that both circuits coincide with U=const, as well as circuitry to implement good smooth transfer profiles. In the calculations limiter minmod is used. According to the results of comparison circuits to determine the effectiveness, as well as accuracy with respect to the computational cost for the accuracy of the order of equal circuits. 

The authors study the results of calculations of numerical schemes for LES and MUSCL nets dimension 300, 600, 1200, 2400, 4800 and 9600. According to the research we can assume that the scheme LES and MUSCL equally well applicable for modeling the transport equation. According to the results of the work we made sure that LES scheme and its subsequent development will continue on the basis of the scheme LES-ASG. 

Key words: numerical schemes, LES, ASG, MUSCL, Lagrange — Euler scheme.

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Development of the Program for Numerical Gasdynamic Modeling on the Basis of Lagrange – Euler Scheme the 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. №1 (26) 2015 pp. 30-39

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