Statistical mechanics of the shallow water system

Pierre-Henri Chavanis (1) , Joël Sommeria (2)

1 GPT-LPQ - Groupe de Physique Théorique (LPQ)
2 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]

We extend the formalism of the statistical theory developed for the 2D Euler equation to the case of shallow water system. Relaxation equations towards the maximum entropy state are proposed, which provide a parametrization of sub-grid scale eddies in 2D compressible turbulence.

Domaines: Dynamique des Fluides [physics.flu-dyn]

Pierre-Henri Chavanis, Joël Sommeria. Statistical mechanics of the shallow water system. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2002, 65, pp.026302. ⟨10.1103/PhysRevE.65.026302⟩. ⟨hal-00139159⟩