Non-hydrostatic layer-averaged Euler system with layerwise linear horizontal velocity - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Non-hydrostatic layer-averaged Euler system with layerwise linear horizontal velocity

C Escalante
  • Fonction : Auteur
E.D. Fernández-Nieto
  • Fonction : Auteur
T Morales de Luna
  • Fonction : Auteur
Y Penel
  • Fonction : Auteur

Résumé

A new hierarchy of non-hydrostatic layer-averaged models for the non-stationary Euler equations is presented in this work, with improved dispersion relations. They are a generalisation of the layeraveraged models introduced in [9], named LDNH models, where the vertical profile of the horizontal velocity is layerwise constant. This assumption implies that solutions of LDNH can be seen as a first order Galerkin approximation of Euler equations. This work focuses on particular weak solutions where the horizontal velocity is layerwise linear on z and possibly discontinuous across layer interfaces. Several closure relations of the layer-averaged system with non-hydrostatic pressure are presented. The resulting models are named LIN-NH p models, with p = 0, 1, 2. Parameter p indicates the degree of the vertical velocity profile considered in the approximation of the vertical momentum equation. All the introduced models satisfy a dissipative energy balance. Finally, an analysis and a comparison of the dispersive properties of each model are carried out. We show that Models LIN-NH 1 and LIN-NH 2 provide a better dispersion relation, group velocity and shoaling than LDNH models.
Fichier principal
Vignette du fichier
multi_uLinear_nohydro_NavierStokes.pdf (1.62 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03676202 , version 1 (23-05-2022)
hal-03676202 , version 2 (04-10-2022)

Identifiants

  • HAL Id : hal-03676202 , version 1

Citer

C Escalante, E.D. Fernández-Nieto, J Garres-Díaz, T Morales de Luna, Y Penel. Non-hydrostatic layer-averaged Euler system with layerwise linear horizontal velocity. 2022. ⟨hal-03676202v1⟩
54 Consultations
30 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More