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Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

A new finite difference method is proposed for gas dynamics equations. It is a homogeneous, monotonic scheme of second order of accuracy on time and space outside domains of discontinuity and shock waves. A new way to introduce artificial viscosity is proposed for two-dimensional schemes. Test simulations of discontinues and shock waves are presented.

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Authors and Affiliations

  1. Institute for Mathematical Modeling, Russ. Ac. Sci., 4A Miusskaya square, 125047, Moscow, Russia

    Igor V. Popov & Igor V. Fryazinov

Authors
  1. Igor V. Popov
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  2. Igor V. Fryazinov
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Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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Popov, I.V., Fryazinov, I.V. (2009). Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_54

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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