Geodesic
Hybrid approach to solving single-dimensional gas dynamics equations
Matematičeskoe modelirovanie, Tome 30 (2018) no. 8, pp. 17-31

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To solve one-dimensional gas dynamic problems, the hybrid approach is proposed, in which the entropy equation is solved instead of the energy equation in the isentropic flow domains of an ideal gas. The results of numerical calculations of some model problems obtained by the classical Godunov’s method and the algorithm based on the hybrid approach are compared.
Mots-clés : gasdynamic equations
Keywords: Galerkin discontinuous method, boundary value problem, explicit numerical method, entropy and energy balance. 
@article{MM_2018_30_8_a1,
     author = {Yu. A. Kriksin and V. F. Tishkin},
     title = {Hybrid approach to solving single-dimensional gas dynamics equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {30},
     number = {8},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_8_a1/}
}
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Yu. A. Kriksin; V. F. Tishkin. Hybrid approach to solving single-dimensional gas dynamics equations. Matematičeskoe modelirovanie, Tome 30 (2018) no. 8, pp. 17-31. http://geodesic.mathdoc.fr/item/MM_2018_30_8_a1/