An operational discontinuous Galerkin shallow water model for coastal flood assessment
PERRIER, Vincent
Computational AGility for internal flows sImulations and compaRisons with Experiments [CAGIRE]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
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Computational AGility for internal flows sImulations and compaRisons with Experiments [CAGIRE]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
PERRIER, Vincent
Computational AGility for internal flows sImulations and compaRisons with Experiments [CAGIRE]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Computational AGility for internal flows sImulations and compaRisons with Experiments [CAGIRE]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
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Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Langue
EN
Article de revue
Ce document a été publié dans
Ocean Modelling. 2024-12, vol. 192, p. 102447
Résumé en anglais
Hydrodynamic modeling for coastal flooding risk assessment is a highly relevant topic. Many operational tools available for this purpose use numerical techniques and implementation paradigms that reach their limits when ...Lire la suite >
Hydrodynamic modeling for coastal flooding risk assessment is a highly relevant topic. Many operational tools available for this purpose use numerical techniques and implementation paradigms that reach their limits when confronted with modern requirements in terms of resolution and performances. In this work, we present a novel operational tool for coastal hazards predictions, currently employed by the BRGM agency (the French Geological Survey) to carry out its flooding hazard exposure studies and coastal risk prevention plans on International and French territories. The model, called UHAINA (wave in the Basque language), is based on an arbitrary high-order discontinuous Galerkin discretization of the nonlinear shallow water equations with SSP Runge–Kutta time stepping on unstructured triangular grids. It is built upon the finite element library AeroSol, which provides a modern C++ software architecture and high scalability, making it suitable for HPC applications. The paper provides a detailed development of the mathematical and numerical framework of the model, focusing on two key-ingredients : (i) a pragmatic treatment of the solution in partially dry cells which guarantees efficiently well-balancedness, positivity and mass conservation at any polynomial order; (ii) an artificial viscosity method based on the physical dissipation of the system of equations providing nonlinear stability for non-smooth solutions. A set of numerical validations on academic benchmarks is performed to highlight the efficiency of these approaches. Finally, UHAINA is applied on a real operational case of study, demonstrating very satisfactory results.< Réduire
Mots clés en anglais
Discontinuous Galerkin
Coastal hazards
Shallow water equations
Well-balanced scheme
Wet/dry treatment
Entropy viscosity stabilization