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Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee |
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| Authors: | S K Godunov I M Kulikov |
| Institution: | 1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Koptyuga 4, Novosibirsk, 630090, Russia 2. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090, Russia 3. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia |
| Abstract: | 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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