Derivation of weakly hydrodynamic models in the Dupuit-Forchheimer regime
PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
< Reduce
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Language
en
Document de travail - Pré-publication
This item was published in
2024-03-31
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Groundwater wave
Dupuit-Forchheimer regime
Unconfined aquifer
Non-hydrostatic model
Finite volume method
Entropy satisfying scheme
ANR Project
Ecoulements géophysiques avec des modèles unifiés - ANR-19-CE46-0010
Origin
Hal imported