Implicit LES using adaptive filtering
Autor: | Guangrui Sun, J. A. Domaradzki |
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Rok vydání: | 2018 |
Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Scale (ratio) Computer science Applied Mathematics Reynolds number Filter (signal processing) Dissipation Solver 01 natural sciences 010305 fluids & plasmas Computer Science Applications Physics::Fluid Dynamics 010101 applied mathematics Adaptive filter Computational Mathematics symbols.namesake Modeling and Simulation 0103 physical sciences symbols 0101 mathematics Spectral method Algorithm Large eddy simulation |
Zdroj: | Journal of Computational Physics. 359:380-408 |
ISSN: | 0021-9991 |
Popis: | In implicit large eddy simulations (ILES) numerical dissipation prevents buildup of small scale energy in a manner similar to the explicit subgrid scale (SGS) models. If spectral methods are used the numerical dissipation is negligible but it can be introduced by applying a low-pass filter in the physical space, resulting in an effective ILES. In the present work we provide a comprehensive analysis of the numerical dissipation produced by different filtering operations in a turbulent channel flow simulated using a non-dissipative, pseudo-spectral Navier–Stokes solver. The amount of numerical dissipation imparted by filtering can be easily adjusted by changing how often a filter is applied. We show that when the additional numerical dissipation is close to the subgrid-scale (SGS) dissipation of an explicit LES the overall accuracy of ILES is also comparable, indicating that periodic filtering can replace explicit SGS models. A new method is proposed, which does not require any prior knowledge of a flow, to determine the filtering period adaptively. Once an optimal filtering period is found, the accuracy of ILES is significantly improved at low implementation complexity and computational cost. The method is general, performing well for different Reynolds numbers, grid resolutions, and filter shapes. |
Databáze: | OpenAIRE |
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