## Abstract This paper introduces the hybrid wavelet collocation–Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their impl
Filtering techniques for complex geometry fluid flows
✍ Scribed by Mullen, Julie S. ;Fischer, Paul F.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 208 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
We develop a class of ®lters based upon the numerical solution of high-order elliptic problems in d which allow for independent determination of order and cut-o wave number and which default to classical Fourier-based ®lters in homogeneous domains. However, because they are based on the solution of a PDE, the present ®lters are not restricted to applications in tensor-product based geometries as is generally the case for Fourier-based ®lters. The discrete representation of the ®ltered output is constructed from a Krylov space generated in solving a well-conditioned system arising from a low-order PDE.
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