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http://hdl.handle.net/11375/16836
Title: | AN ADAPTIVE WAVELET COLLOCATION METHOD FOR FLUID-STRUCTURE INTERACTION AT HIGH REYNOLDS NUMBERS |
Authors: | Kevlahan, N.K.-R. Vasilyev, O.V. |
Keywords: | turbulence;wavelets;fluid-structure interaction |
Publication Date: | 20-May-2005 |
Publisher: | Society for Industrial and Applied Mathematics |
Citation: | Kevlahan, N.K.-R. & Vasilyev, O.V. 2005 An adaptive wavelet collocation method for fluid-structure interaction at high Reynolds numbers. SIAM J. Sci. Comput. 26(6), 1894-1915. |
Series/Report no.: | SIAM J. SCI. COMPUT.; |
Abstract: | Two mathematical approaches are combined to calculate high Reynolds number in- compressible fluid-structure interaction: a wavelet method to dynamically adapt the computational grid to flow intermittency and obstacle motion, and Brinkman penalization to enforce solid bound- aries of arbitrary complexity. We also implement a wavelet-based multilevel solver for the Poisson problem for the pressure at each time step. The method is applied to two-dimensional flow around fixed and moving cylinders for Reynolds numbers in the range 3 × 101 ≤ Re ≤ 105 . The compression ratios of up to 1000 are achieved. For the first time it is demonstrated in actual dynamic simulations that the compression scales like Re1/2 over five orders of magnitude, while computational complexity scales like Re. This represents a significant improvement over the classical complexity estimate of Re9/4 for two-dimensional turbulence. |
URI: | http://hdl.handle.net/11375/16836 |
Identifier: | DOI.10.1137/S1064827503428503 |
Appears in Collections: | Mathematics & Statistics Publications |
Files in This Item:
File | Description | Size | Format | |
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5-42850.pdf | Main article | 3.59 MB | Adobe PDF | View/Open |
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