Wavelet transforms of some equations of fluid mechanics

DOI10.1007/BF01170275zbMath0815.76026MaRDI QIDQ1341924

Jacques Lewalle

Publication date: 11 January 1995

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

convolutioninversion formulamethod of characteristicsGaussian filtersparabolic and elliptic equationseven-indexed Gaussian wavelets

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) General integral transforms (44A05)

Related Items (5)

High-fidelity simulations of the aeroacoustic environment of the VEGA launch vehicle at lift-off ⋮ A filtering and wavelet formulation for incompressible turbulence ⋮ Single-scale wavelet representation of turbulence dynamics: formulation and Navier-Stokes regularity ⋮ FIELD RECONSTRUCTION FROM SINGLE SCALE CONTINUOUS WAVELET COEFFICIENTS ⋮ Formal improvements in the solution of the wavelet-transformed Poisson and diffusion equations

Cites Work

• On the wavelet transformation of fractal objects.
• Orthonormal bases of compactly supported wavelets
• Computational Modeling of Turbulent Flows
• Analysis of turbulence in the orthonormal wavelet representation
• A Simplified Spectral Closure for Inhomogeneous Turbulence: Application to the Boundary Layer
• Continuous and Discrete Wavelet Transforms
• Numerical Methods for the Simulation of Turbulence
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