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.
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ASME-JSME-KSME 2011 Joint Fluids Engineering Conference
July 24–29, 2011
Hamamatsu, Japan
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-4440-3
PROCEEDINGS PAPER
A Stable Compact Finite Difference Method With Skew-Symmetric Form for LES of Variable Density Flows
Kota Takeichi,
Kota Takeichi
Nagoya Institute of Technology, Aichi, Nagoya, Japan
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Shinji Tamano,
Shinji Tamano
Nagoya Institute of Technology, Aichi, Nagoya, Japan
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Yohei Morinishi
Yohei Morinishi
Nagoya Institute of Technology, Aichi, Nagoya, Japan
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Kota Takeichi
Nagoya Institute of Technology, Aichi, Nagoya, Japan
Shinji Tamano
Nagoya Institute of Technology, Aichi, Nagoya, Japan
Yohei Morinishi
Nagoya Institute of Technology, Aichi, Nagoya, Japan
Paper No:
AJK2011-02008, pp. 1177-1184; 8 pages
Published Online:
May 25, 2012
Citation
Takeichi, K, Tamano, S, & Morinishi, Y. "A Stable Compact Finite Difference Method With Skew-Symmetric Form for LES of Variable Density Flows." Proceedings of the 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. pp. 1177-1184. ASME. https://doi.org/10.1115/AJK2011-02008
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