Entropy-Stable Discontinuous Galerkin Method for Euler Equations Using Nonconservative Variables
Author:
Publisher
Pleiades Publishing Ltd
Subject
Computational Mathematics,Modeling and Simulation
Link
https://link.springer.com/content/pdf/10.1134/S2070048221030091.pdf
Reference26 articles.
1. E. Tadmor, “Entropy stable schemes,” in Handbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues, Ed. by R. Abgrall and C.-W. Shu, Chapter 18, Handbook of Numerical Analysis (North Holland/Elsevier, Amsterdam, 2016), Vol. 17, pp. 467–493.
2. P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (Soc. Ind. Appl. Math., Philadelphia, 1973).
3. S. Osher, “Riemann solvers, the entropy condition, and difference approximations,” SIAM J. Numer. Anal. 21 (2), 217–235 (1984).
4. F. Bouchut, C. Bourdarias, and B. Perthame, “A MUSCL method satisfying all the numerical entropy inequalities,” Math. Comput. 65 (216), 1439–1461 (1996).
5. E. Tadmor, “Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems,” Acta Numerica 12, 451–512 (2003).
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