Geodesic
Gasdynamic modeling on the basis of the Lagrangian and Euler scheme LES --- ASG
Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 5 (2015), pp. 36-51

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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.
Keywords: numerical schemes, ASG, cSPH — TVD, MUSCL, Lagrangian and Euler scheme.
Mots-clés : LES 
@article{VVGUM_2015_5_a3,
     author = {A. V. Belousov and S. S. Khrapov},
     title = {Gasdynamic modeling on the basis of the {Lagrangian} and {Euler} scheme {LES} --- {ASG}},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {36--51},
     publisher = {mathdoc},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2015_5_a3/}
}
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A. V. Belousov; S. S. Khrapov. Gasdynamic modeling on the basis of the Lagrangian and Euler scheme LES --- ASG. Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 5 (2015), pp. 36-51. http://geodesic.mathdoc.fr/item/VVGUM_2015_5_a3/