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Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows

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Hyperbolic Problems: Theory, Numerics, Applications

Abstract

Accurate numerical simulations of complex multiscale compressible viscous flows, especially high speed turbulence combustion and acoustics, demand high order schemes with adaptive numerical dissipation controls. Standard high resolution shock-capturing methods are too dissipative to capture the small scales and/or long-time wave propagations without extreme grid refinements and small time steps. An integrated approach for the control of numerical dissipation in high order schemes with incremental studies was initiated in [15, 16, 9] and summarized in [17]. Here we further refine the analysis on, and improve the understanding of the adaptive numerical dissipation control strategy.

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Author information

Authors and Affiliations

  1. Royal Institute of Technology, Sweden

    Björn Sjögreen

  2. NASA Ames Research Center, USA

    H. C. Yee

Authors
  1. Björn Sjögreen
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  2. H. C. Yee
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Editor information

Editors and Affiliations

  1. Department of Applied and Computational Mathematics 217-50, California Institute of Technology, Pasadena, CA, 91125, USA

    Thomas Y. Hou

  2. Center for Scientific Computation and Mathematical Modeling (CSCAMM) Department of Mathematics, University of Maryland, College Park, MD, 20742-3289, USA

    Eitan Tadmor

  3. Institute for Physical Science & Technology (IPST), University of Maryland, College Park, MD, 20742-3289, USA

    Eitan Tadmor

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© 2003 Springer-Verlag Berlin Heidelberg

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Sjögreen, B., Yee, H.C. (2003). Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows. In: Hou, T.Y., Tadmor, E. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_7

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  • DOI: https://doi.org/10.1007/978-3-642-55711-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62929-7

  • Online ISBN: 978-3-642-55711-8

  • eBook Packages: Springer Book Archive

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