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Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Björn Sjögreen

    (Royal Institute of Technology)

  • H. C. Yee

    (NASA Ames Research Center)

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.

Suggested Citation

  • Björn Sjögreen & H. C. Yee, 2003. "Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 89-101, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_7
    DOI: 10.1007/978-3-642-55711-8_7
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