Paper Info
Title
An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers
Abstract
Two mathematical approaches are combined to calculate high Rey\-nolds number incompressible fluid-structure interaction: a wavelet method to dynamically adapt the computational grid to flow intermittency and obstacle motion, and Brinkman penalization to enforce solid boundaries 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 $3\times 10^1 \le Re \le 10^5$. 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 $Re^{1/2}$ over five orders of magnitude, while computational complexity scales like $Re$. This represents a significant improvement over the classical complexity estimate of $Re^{9/4}$ for two-dimensional turbulence.
Year
DOI
Venue
2005
10.1137/S1064827503428503
SIAM J. Scientific Computing
Keywords
Field
DocType
two-dimensional flow,adaptive wavelet collocation method,turbulence,computational complexity scale,computational grid,compression scale,wavelet method,classical complexity estimate,fluid-structure interaction,compression ratio,wavelets,arbitrary complexity,time step,high reynolds numbers,two-dimensional turbulence,collocation method,reynolds number,dynamic simulation,computational complexity
Reynolds number,Mathematical analysis,Turbulence,Intermittency,Solver,Numerical analysis,Two-dimensional flow,Collocation method,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
26
6
1064-8275
Citations 
PageRank 
References 
24
3.77
4
Authors
2
Name
Order
Citations
PageRank
Nicholas K.-R. Kevlahan1274.64
Oleg V. Vasilyev27911.72