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Model of Compressible Flow and Transport in a Time-Dependent Domain

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Pavel Jiránek

    (Technical University of Liberec)

  • Jiří Maryška

    (Technical University of Liberec)

  • Jan Šembera

    (Technical University of Liberec)

Abstract

Summary In the contribution, an introduction of the model of compressible flow, transport of mass and energy, and production of energy in a time-dependent domain, which is being developed at Technical University of Liberec, is done. The main focus is concentrated on the finite volume model of advection-diffusion mass transport. The explicit upwind scheme is used, therefore the computational time step is restricted by the stability condition and the phenomenon of numerical diffusion may be significant. A scheme for reduction of numerical diffusion is proposed and numerical tests are presented.

Suggested Citation

  • Pavel Jiránek & Jiří Maryška & Jan Šembera, 2004. "Model of Compressible Flow and Transport in a Time-Dependent Domain," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 521-530, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_49
    DOI: 10.1007/978-3-642-18775-9_49
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