2016/07/09 by Soumaya Ben Chaabane, Makram Hamouda, Chaabane, Soumaya Ben +4
Engineering · Mathematics · #65L11 #68U20 #76D10 #76D17 #76L05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #math.AP #msc:65L11 #msc:68U20 #msc:76D10 #msc:76D17 #msc:76L05
paper · pdf · doi:10.48550/arxiv.1607.02634
arxiv created 2016/07/09 · openalex publication_date 2016/07/09 · arxiv updated 2016/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate in this article the boundary layers appearing for a fluid under moderate rotation when the viscosity is small. The fluid is modeled by rotating type Stokes equations known also as the Barotropric mode equations in the primitive equations theory. First we derive the correctors that describe the sharp variations at large Reynolds number (i.e., small viscosity). Second, thanks to a new finite volume method (NFVM) we give numerical solutions of the rotating Stokes system at small viscosity. The NFVM can be applied to a large class of singular perturbation problems.