Derivation of weakly hydrodynamic models in the Dupuit-Forchheimer regime
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | PARISOT, Martin | |
| dc.date.accessioned | 2024-04-06T02:10:33Z | |
| dc.date.available | 2024-04-06T02:10:33Z | |
| dc.date.issued | 2024-03-31 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194949 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Ecoulements géophysiques avec des modèles unifiés - ANR-19-CE46-0010 | |
| dc.language.iso | en | |
| dc.subject.en | Groundwater wave | |
| dc.subject.en | Dupuit-Forchheimer regime | |
| dc.subject.en | Unconfined aquifer | |
| dc.subject.en | Non-hydrostatic model | |
| dc.subject.en | Finite volume method | |
| dc.subject.en | Entropy satisfying scheme | |
| dc.title.en | Derivation of weakly hydrodynamic models in the Dupuit-Forchheimer regime | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04532765 | |
| hal.version | 1 | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04532765v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2024-03-31&rft.au=PARISOT,%20Martin&rft.genre=preprint |
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