Direct sensitivity computation for the shallow water equations with discontinuous solution

Carole Delenne; Vincent Guinot; Bernard Cappelaere

Acte de colloque

Direct sensitivity computation for the shallow water equations with discontinuous solution

Carole Delenne, Vincent Guinot et Bernard Cappelaere

Environmental Hydraulics - Theoretical, Experimental and Computational SolutionsProceedings of the International Workshop on Environmental Hydraulics, IWEH09, 29 & 30 October 2009, Valencia, Spain

International Workshop on Environmental Hydraulics Theoretical, Experimental and Computational Solutions (IWEH09)

2009

Résumé

Engineering Sciences

Fluids mechanics

Mathematics

Mechanics

Numerical Analysis

An approximate Riemann solver is proposed for direct sensitivity computation for the shallow water equations with discontinuous solutions. An extra source term is needed to restore sensitivity balance across the shocks. The sensitivity equations are derived, the numerical technique is given and applied on the dam-break problem with bottom slope.

Indicateurs

1 Consultations de la notice

Détails

Titre: Direct sensitivity computation for the shallow water equations with discontinuous solution
Créateurs - sans rôle: Carole Delenne - Hydrosciences Montpellier
Vincent Guinot - Hydrosciences Montpellier
Bernard Cappelaere - Hydrosciences Montpellier
Détails de publication: Environmental Hydraulics - Theoretical, Experimental and Computational SolutionsProceedings of the International Workshop on Environmental Hydraulics, IWEH09, 29 & 30 October 2009, Valencia, Spain
Colloque: International Workshop on Environmental Hydraulics Theoretical, Experimental and Computational Solutions (IWEH09)
Éditeur: Taylor and Francis
Identifiants: 99138703409311
Unité académique: Hydrosciences Montpellier - HSM
Langue: English
Type de ressource: Conference proceeding