2000/04/23 by P. H. Chavanis, Pierre-Henri Chavanis, Joël Sommeria +1 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.65.026302
published as Phys. Rev. E, 65, 026302 (2002) · submitted to Phys. Fluids
arxiv created 2000/04/23 · openalex publication_date 2002/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the formalism of statistical mechanics developed for the two-dimensional (2D) Euler equation to the case of shallow water system. Relaxation equations towards the maximum entropy state are proposed, which provide a parametrization of subgrid-scale eddies in 2D compressible turbulence.