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Simulations of gravity wave induced turbulence using 512 PE Cray T3E

Joseph Prusa, Piotr Smolarkiewicz, Andrzej Wyszogrodzki (2001)

International Journal of Applied Mathematics and Computer Science

A 3D nonhydrostatic, Navier-Stokes solver has been employed to simulate gravity wave induced turbulence at mesopause altitudes. This paper extends our earlier 2D study reported in the literature to three spatial dimensions while maintaining fine resolution required to capture essential physics of the wave breaking. The calculations were performed on the 512 processor Cray T3E machine at the National Energy Research Scientific Computing Center (NERSC) in Berkeley. The physical results of this study...

Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence

Ricardo M. S. Rosa (2002)

Applications of Mathematics

Some rigorous results connected with the conventional statistical theory of turbulence in both the two- and three-dimensional cases are discussed. Such results are based on the concept of stationary statistical solution, related to the notion of ensemble average for turbulence in statistical equilibrium, and concern, in particular, the mean kinetic energy and enstrophy fluxes and their corresponding cascades. Some of the results are developed here in the case of nonsmooth boundaries and a less regular...

Sur le temps de vie de la turbulence bidimensionnelle

Thierry Gallay, Luis Miguel Rodrigues (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

On sait que toutes les solutions de l’équation de Navier-Stokes dans R 2 dont le tourbillon est intégrable convergent lorsque t vers un écoulement autosimilaire appelé tourbillon d’Oseen. Dans cet article, nous donnons une estimation du temps nécessaire à la solution pour atteindre un voisinage du tourbillon d’Oseen à partir d’une donnée initiale arbitraire, mais bien localisée en espace. Nous obtenons ainsi une borne supérieure sur le temps de vie de la turbulence bidimensionnelle libre, en fonction...

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