Application of the discontinuous Galerkin method for solving problems of gas dynamics on AMR

Title	Application of the discontinuous Galerkin method for solving problems of gas dynamics on AMR
Authors	R. V. Zhalnin¹ ¹National Research Mordovia State University
Annotation	The article describes a numerical algorithm for solving the system of NavierStokes equations for a multicomponent gas mixture by the Discontinuous Galerkin Method on AMR. The implementation of the constructed scheme is based on the data structure and algorithms of the p4est library. The results of solving such problems as the flow around an NACA 0012 airfoil, the multimaterial triple point problem, and the problem of the development of the Richtmyer-Meshkov instability are presented
Keywords	Discontinuous Galerkin Method, gas dynamics equations, multicomponent gas mixture, parallel computations, multimaterial triple point problem, RichtmyerMeshkov instability, AMR, p4est
Citation	Zhalnin R. V. ''Application of the discontinuous Galerkin method for solving problems of gas dynamics on AMR'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, October 8-11, 2020). Saransk: SVMO Publ, 2020. - pp. 214-224. Available at: https://conf.svmo.ru/files/2020/papers/article10.pdf. - Date of access: 20.04.2024.