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

DOI10.1134/S0965542514060086zbMath1313.35238MaRDI QIDQ2940501

I. M. Kulikov, Sergei Konstantinovich Godunov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

discontinuous solutionsgas dynamicsGodunov schemeentropy nondecrease guarantee

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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Uses Software

• HLLE

Cites Work

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• One-Sided Difference Approximations for Nonlinear Conservation Laws
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Necessity of entropy control in gasdynamic computations

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