Coherent Vortex Simulation (CVS), A Semi-Deterministic Turbulence Model Using Wavelets

@article{Farge2001CoherentVS,
  title={Coherent Vortex Simulation (CVS), A Semi-Deterministic Turbulence Model Using Wavelets},
  author={Marie Farge and Kai Schneider},
  journal={Flow, Turbulence and Combustion},
  year={2001},
  volume={66},
  pages={393-426}
}
In the spirit of Ha Minh's semi-deterministic model, we propose a new method for computing fully-developed turbulent flows, called Coherent Vortex Simulation (CVS). It is based on the observation that turbulent flows contain both an organized part, the coherent vortices, and a random part, the incoherent background flow. The separation into coherent and incoherent contributions is done using the wavelet coefficients of the vorticity field and the Biot–Savart kernel to reconstruct the coherent… Expand
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Coherent vortex extraction and simulation of 2D isotropic turbulence
Abstract We present a method to extract coherent vortices out of turbulent flows, based on thresholding the wavelet coefficients of vorticity. We compare two ways of choosing the threshold and show… Expand
Coherent vortex simulation of three-dimensional turbulent mixing layers using orthogonal wavelets
This paper assesses the potential of coherent vortex simulation (CVS) to compute three-dimensional turbulent mixing layers. CVS splits each turbulent flow realization into two orthogonal parts, one… Expand
Coherent Vortex Simulation of Two- and Three-Dimensional Turbulent Flows Using Orthogonal Wavelets
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… Expand
Coherent vortex extraction in three-dimensional homogeneous turbulence: Comparison between CVS-wavelet and POD-Fourier decompositions
The coherent vortex simulation (CVS) decomposes each realization of a turbulent flow into two orthogonal components: An organized coherent flow and a random incoherent flow. They both contribute to… Expand
Coherent structure extraction in turbulent channel flow using boundary adapted wavelets
ABSTRACT We introduce boundary adapted wavelets, which are orthogonal and have the same scale in the three spatial directions. The construction thus yields a multiresolution analysis. We analyse… Expand
Coherent Vorticity Simulation of Three-Dimensional Forced Homogeneous Isotropic Turbulence
TLDR
It is found that, as long as a safety zone is present, CVS well preserves the statistical predictability of the turbulent flow (even the vorticity and velocity probability distribution functions) with a reduced number of degrees of freedom. Expand
Wavelet-based regularization of the Galerkin truncated three-dimensional incompressible Euler flows.
TLDR
It is shown that the coherent flow indeed exhibits an intermittent nonlinear dynamics and a k^{-5/3} energy spectrum, where k is the wave number, characteristic of three-dimensional homogeneous isotropic turbulence. Expand
Coherent vortex extraction in 3D homogeneous isotropic turbulence using orthogonal wavelets
The coherent vortex extraction (CVE) decomposes each turbulent flow realization into two orthogonal components: a coherent and a random incoherent flow. They both contribute to all scales in the… Expand
Extraction of coherent vortex tubes in a 3D turbulent mixing layer using orthogonal wavelets
We present a new technique to extract coherent vortex tubes out of turbulent flows. The method is based on an orthogonal vector-valued wavelet decomposition of the vorticity field using the fast… Expand
On the role of vortical structures for turbulent mixing using direct numerical simulation and wavelet-based coherent vorticity extraction
The influence of vortical structures on the transport and mixing of passive scalars is investigated. Initial conditions are taken from a direct numerical simulation database of forced homogeneous… Expand
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