Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

Computational Mathematics and Mathematical Physics(2014)

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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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Key words
fluid dynamics equations, computation of discontinuous solutions, Godunov’s scheme, entropy nondecrease guarantee
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