NUMERICAL SIMULATIONS OF A 2D QUASI GEOSTROPHIC EQUATION

Jean-Paul Chehab (1, 2) , Maithem Trabelsi Moalla (3)

1 SIMPAF - SImulations and Modeling for PArticles and Fluids
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352
3 Unité de recherche Multifractales et Ondelettes [Monastir]

This paper deals with the numerical simulations of the 2D generalized quasi geostrophic equation, where the velocity field is related to the solution µ by a rotation of Riesz transforms. Depending on the parameters of the problem, we present numerical evidences for long time behavior of the solution such as global existence effects or blow up in finite time.

Mots clés: quasi geostrophic equations; long time behavior; blow up; Fourier pseudo spectral method

Domaines: Analyse numérique [math.NA]

Jean-Paul Chehab, Maithem Trabelsi Moalla. NUMERICAL SIMULATIONS OF A 2D QUASI GEOSTROPHIC EQUATION. 2012. ⟨hal-00694541⟩