Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows

Björn Sjögreen () and H. C. Yee ()
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Björn Sjögreen: Royal Institute of Technology
H. C. Yee: NASA Ames Research Center

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 89-101 from Springer

Abstract: 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.

Keywords: Numerical Dissipation; Density Contour; High Order Scheme; Nonlinear Filter; Split Form (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_7

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DOI: 10.1007/978-3-642-55711-8_7

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