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Book Chapter10.1007/978-1-4612-0025-3_13

Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets

Alexandre Azzalini,Giulio Pellegrino,Jörg Ziuber-2003-01-01-Birkhäuser Boston eBooks
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TL;DRAbstract

This article reviews a new method to extract and compute coherent structures of turbulent flows, called coherent vortex simulation (CVS). It is based on the orthogonal wavelet decomposition of the vorticity field, which can be highly compressed applying wavelet filters. Here, we introduce in detail an iterative algorithm for the wavelet filtering and show results for the analysis of artificial and turbulent flow fields. Numerical simulations using CVS are performed for turbulent flows in two and three dimensions; i.e., the integration of the Navier—Stokes equations is carried out in a compressed adaptive basis. In comparison to direct numerical simulation results, we find that the nonlinear dynamics of the flow are well retained with CVS, though most of the modes are discarded. CVS appears promising as an efficient method for the simulation of turbulent flows at high Reynolds number.KeywordsProbability Density FunctionCompression RatioDirect Numerical SimulationProper Orthogonal Decomp

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This article reviews a new method to extract and compute coherent structures of turbulent flows, called coherent vortex simulation (CVS). It is based on the orthogonal wavelet decomposition of the vorticity field, which can be highly compressed applying wavelet filters. Here, we introduce in detail an iterative algorithm for the wavelet filtering and show results for the analysis of artificial and turbulent flow fields. Numerical simulations using CVS are performed for turbulent flows in two and three dimensions; i.e., the integration of the Navier—Stokes equations is carried out in a compressed adaptive basis. In comparison to direct numerical simulation results, we find that the nonlinear dynamics of the flow are well retained with CVS, though most of the modes are discarded. CVS appears promising as an efficient method for the simulation of turbulent flows at high Reynolds number.KeywordsProbability Density FunctionCompression RatioDirect Numerical SimulationProper Orthogonal Decomp

Keywords

TurbulenceWaveletVortexVorticityOrthogonal waveletReynolds numberDirect numerical simulationFlow (mathematics)

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