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A subgrid-scale deconvolution approach for shock capturing
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DOI：10.1006/jcph.2002.7034.png)
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摘要
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We develop a method for the modeling of flow discontinuities which can arise as weak solutions of inviscid conservation laws. Due to its similarity with recently proposed approximate deconvolution models for large-eddy simulation, the method potentially allows for a unified treatment of flow discontinuities and turbulent subgrid scales, A filtering approach is employed since for the filtered evolution equations the solution is smooth and can be solved for by standard central finite-difference schemes without special consideration of discontinuities. A sufficiently accurate representation of the filtered nonlinear combination of discontinuous solution components which arise from the convection term can be obtained by a regularized deconvolution applied to the filtered solution. For stable integration the evolution equations are supplemented by a relaxation regularization based on a secondary filter operation and a relaxation parameter. An estimate for the relaxation parameter is provided. The method is related to the spectral vanishing-viscosity method and the regularized Chapman-Enskog expansion method for conservation laws. We detail the approach and demonstrate its efficiency with the inviscid and viscous Burgers equations, the isothermal shock problem, and the one-dimensional Euler equations. (C) 2002 Elsevier Science (USA).
Keyword:
shock capturing
large-eddy simulation
deconvolution
subgrid-scale modeling
compressible flows
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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分享收藏A priori analyses of three subgrid-scale models for one-parameter families of filters.png)
PHYSICS OF FLUIDS
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PHYSICS OF FLUIDSIF4.3
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