PARISOT, Martin

Métadonnées

Licence d’utilisation du document

PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

Langue

Document de travail - Pré-publication

Ce document a été publié dans

2024-03-31

Résumé en anglais

The current study is dedicated to the formal derivation of a hierarchic of asymp- totic models that approximate the groundwater wave problem within the Dupuit- Forchheimer regime, over a regular, non-planar substratum. The derivation methodology employed bears resemblance to the techniques utilized in hier- archic of asymptotic models for approximating the water waves problem in the shallow water regime. Mathematically speaking, the asymptotic models mani- fest as nonlinear, non-local diffusion equations. We identify an energy dissipa- tion law inherent to these models, thereby bolstering the physical validity and confidence in the proposed framework. A numerical strategy is proposed that preserved at the discrete level the energy dissipation. Several simulations are conducted to discuss and validate the dynamic behavior of the solution.< Réduire

Mots clés en anglais

Groundwater wave

Dupuit-Forchheimer regime

Unconfined aquifer

Non-hydrostatic model

Finite volume method

Entropy satisfying scheme

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194949

Project ANR

Ecoulements géophysiques avec des modèles unifiés - ANR-19-CE46-0010

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251