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Wavelet methods in computational fluid dynamics
This article reviews state-of-the-art adaptive, multiresolution wavelet methodologies for
modeling and simulation of turbulent flows with various examples. Different numerical …
modeling and simulation of turbulent flows with various examples. Different numerical …
[ΒΙΒΛΙΟ][B] Wavelet transforms and their applications
L Debnath, FA Shah - 2015 - Springer
Historically, the theory of Hilbert spaces originated from David Hilbert's (1862–1943) work
on quadratic forms in infinitely many variables with their applications to integral equations …
on quadratic forms in infinitely many variables with their applications to integral equations …
Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis
We decompose turbulent flows into two orthogonal parts: a coherent, inhomogeneous, non-
Gaussian component and an incoherent, homogeneous, Gaussian component. The two …
Gaussian component and an incoherent, homogeneous, Gaussian component. The two …
Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets
This Letter presents a wavelet technique for extracting coherent vortices from three-
dimensional turbulent flows, which is applied to a homogeneous isotropic turbulent flow at …
dimensional turbulent flows, which is applied to a homogeneous isotropic turbulent flow at …
Coherent vortex simulation (CVS), a semi-deterministic turbulence model using wavelets
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 …
fully-developed turbulent flows, called Coherent Vortex Simulation (CVS). It is based on the …
A conservative fully adaptive multiresolution algorithm for parabolic PDEs
We present a new adaptive numerical scheme for solving parabolic PDEs in Cartesian
geometry. Applying a finite volume discretization with explicit time integration, both of …
geometry. Applying a finite volume discretization with explicit time integration, both of …
[HTML][HTML] A fractal model for large eddy simulation of turbulent flow
A new class of subgrid closures for large eddy simulation (LES) of turbulence is developed,
based on the construction of synthetic, fractal subgrid-scale fields. The relevant …
based on the construction of synthetic, fractal subgrid-scale fields. The relevant …
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 …
two orthogonal components: An organized coherent flow and a random incoherent flow …
An adaptive wavelet collocation method for fluid-structure interaction at high Reynolds numbers
Two mathematical approaches are combined to calculate high Rey\-nolds number
incompressible fluid-structure interaction: a wavelet method to dynamically adapt the …
incompressible fluid-structure interaction: a wavelet method to dynamically adapt the …
[ΒΙΒΛΙΟ][B] Wavelets theory and its applications
Mani Mehra A First Course Page 1 Forum for Interdisciplinary Mathematics Wavelets Theory
and Its Applications Mani Mehra A First Course Page 2 Forum for Interdisciplinary …
and Its Applications Mani Mehra A First Course Page 2 Forum for Interdisciplinary …