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

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.