On a class of SGS filters for LES with shape preserving concatenation properties
✍ Scribed by Martin Oberlack
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 205 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
We develop a class of filter functions for large-eddy simulation which have the key property that multiple successive application even with different filter widths is equal to a single filtering employing filters from the same class but at an extended or equal filter width. In the context of the filter class development we obtain a functional delay equation which for special cases may be solved completely general. The presently developed class of filters may be used in conjunction with certain sub-grid scale models such as the approximate deconvolution model where explicit multiple filtering is needed. Hence utilizing filters from the present class computational cost of filter evaluation may be considerably reduced.