Entropy analysis of one completely conservative difference scheme with adaptive artificial viscosity for the numerical solution of gas dynamics problems in Euler variables

Title	Entropy analysis of one completely conservative difference scheme with adaptive artificial viscosity for the numerical solution of gas dynamics problems in Euler variables
Authors	M. E. Ladonkina¹, Y. A. Poveshchenko¹, . H. Zhang² ¹National Research Mordovian State University ²Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Annotation	In this paper, an analysis of entropy is carried out in modeling gas dynamics processes using a completely conservative difference scheme with adaptive artificial viscosity in Euler variables. The results show satisfaction of the law of physics of entropy without taking into account the entropy equation.
Keywords	completely conservative difference scheme, adaptive artificial viscosity, entropy, Sods problem, Enfeldts problem, computational gas dynamics.
Citation	Ladonkina M. E., Poveshchenko Y. A., Zhang . H. ''Entropy analysis of one completely conservative difference scheme with adaptive artificial viscosity for the numerical solution of gas dynamics problems in Euler variables'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 146-149. Available at: https://conf.svmo.ru/files/2025/papers/paper29.pdf. - Date of access: 07.12.2025.