Energy dissipation in the wavelet-transformed Navier-Stokes equations

Jacques Lewalle

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The wavelet transformation has been successfully applied to the Navier-Stokes equations. In the case of Gaussian wavelets, a different light is shed on the role of convective, pressure, and viscous terms. This note focuses on the energy dissipation term in the resulting energy equation. It is shown that a κ2 term, analogous to the dissipation rate in Fourier space, results for wavelets of all orders except the first. For g1 transforms, the coefficient of the dissipation term vanishes, leaving only a spectral diffusion term toward small scales.

Original languageEnglish (US)
Pages (from-to)1512-1513
Number of pages2
JournalPhysics of Fluids A
Issue number6
StatePublished - 1992

ASJC Scopus subject areas

  • General Engineering


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