Gasdynamic modeling on the basis of the Lagrangian and Euler scheme LES-ASG

Автор: Belousov Anton Vladimirovich, Khrapov Sergey Sergeevich

Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu

Рубрика: Компьютерное моделирование

Статья в выпуске: 5 (30), 2015 года.

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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.

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Les, asg, сsрн-тvd, лагранжевo-эйлерoва схема, numerical schemes, csph-tvd, muscl, lagrangian and euler scheme

Короткий адрес: https://sciup.org/14968996

IDR: 14968996   |   DOI: 10.15688/jvolsu1.2015.5.3

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