From hydrostatic to non-hydrostatic models in fluid mechanics: modeling, mathematical and numerical analysis, and computational fluid dynamics

Mehmet Ersoy (1)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

Mots clés: Compressible fluid; Incompressible fluid; hydrostatic model; non-hydrostatic model; existence and stability of weak solutions; asymptotic analysis; control; riemann problem; Finite volume; Discontinuous Galerkin; Kinetic scheme; well-balanced scheme; adaptive mesh

Mots clés: Fluide compressible; Fluide incompressible; Modèle hydrostatique; Modèle non-hydrostatique; Existence et stabilité de solutions faibles; Analyse asymptotique; Contrôle; Problème de Riemann; Volumes Finis; Galerkin discontinu; Schéma cinétique; Schéma équilibre; maillage adaptatif

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]

Mehmet Ersoy. From hydrostatic to non-hydrostatic models in fluid mechanics: modeling, mathematical and numerical analysis, and computational fluid dynamics. Numerical Analysis [math.NA]. Université De Toulon, 2020. ⟨tel-03048696⟩