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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Original Russian Text © S.K. Godunov, I.M. Kulikov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 6, pp. 1008–1021.
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Godunov, S.K., Kulikov, I.M. Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee. Comput. Math. and Math. Phys. 54, 1012–1024 (2014). https://doi.org/10.1134/S0965542514060086
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DOI: https://doi.org/10.1134/S0965542514060086