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Thermodynamically Consistent Systems of Hyperbolic Equations

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Computational Fluid Dynamics 2010

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Abstract

A discussion of the author’s advanced viewpoint on the underlying principles for construction of Godunov’s scheme is presented. The application of these principles in problems of elastic and elastoplastic deformations is outlined. The presentation is based on extensive numerical simulations performed for both an analysis of the solution convergence details with decreasing mesh step size (for equations of Fluid Dynamics) and the motivation of modeling an elastoplastic media by an “effective elastic deformation” and the employment of Maxwell’s viscosities.

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References

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Acknowledgments

This work was supported by a grant no. HIII-9019.2006.1 under a program “Leading Scientific Schools” of the President of Russian Federation, and by an interdisciplinary contract of the Presidium of the Siberian Branch, the Russian Academy of Sciences, Project no. 40.

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Authors and Affiliations

  1. Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

    S.K. Godunov

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  1. S.K. Godunov
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Correspondence to S.K. Godunov .

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Editors and Affiliations

  1. , Department of Maths & Mechanics, St Petersburg State University, St Petersburg, Russian Federation

    Alexander Kuzmin

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Godunov, S. (2011). Thermodynamically Consistent Systems of Hyperbolic Equations. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-17884-9_2

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  • Print ISBN: 978-3-642-17883-2

  • Online ISBN: 978-3-642-17884-9

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