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A Stable Compact Finite Difference Method With Skew-Symmetric Form for LES of Variable Density Flows

[+] Author Affiliations
Kota Takeichi, Shinji Tamano, Yohei Morinishi

Nagoya Institute of Technology, Aichi, Nagoya, Japan

Paper No. AJK2011-02008, pp. 1177-1184; 8 pages
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference
  • ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D
  • Hamamatsu, Japan, July 24–29, 2011
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-4440-3
  • Copyright © 2011 by JSME


The objective of this study is to develop a reliable high-order numerical method for the large eddy simulation (LES) of variable density flows. To improve both the numerical accuracy and stability, we use the compact finite difference method (compact FDM) for the transport equation of compressible flows, in which the skew-symmetric form of the convection term is adopted. In the LES of turbulent flows, the reliability of computational results depends strongly on both the reliability of the subgrid scale (SGS) model and the accuracy of the numerical method. First, the reliability is investigated by performing numerical simulations with unresolved grid resolution for compressible turbulent channel flows without SGS models. Then, we perform the LES of compressible turbulent channel flows with several dynamic and non-dynamic SGS models, and compare turbulence statistics with the corresponding DNS data.

Copyright © 2011 by JSME



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