Geodesic
Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 1008-1021 
S. K. Godunov; I. M. Kulikov. Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 1008-1021. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a11/
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     author = {S. K. Godunov and I. M. Kulikov},
     title = {Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1008--1021},
     year = {2014},
     volume = {54},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new formulation of the Godunov scheme with linear Riemann problems is proposed that guarantees a nondecrease in entropy. The new version of the method is described for the simplest example of one-dimensional gas dynamics in Lagrangian coordinates.

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