High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
Non-linear shallow water flow modelling over topography with depth-averaged potential equations
Hunter Rouse was the father of the Fluid Mechanics of Open Channel Flow. In this review
article the fundamental advances on the non-hydrostatic modeling of shallow open channel …
article the fundamental advances on the non-hydrostatic modeling of shallow open channel …
A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves
A new numerical method for solving the Serre–Green–Naghdi (SGN) equations describing
dispersive waves on shallow water is proposed. From the mathematical point of view, the …
dispersive waves on shallow water is proposed. From the mathematical point of view, the …
[BOOK][B] Shallow water hydraulics
O Castro-Orgaz, WH Hager - 2019 - Springer
The purpose of Shallow Water Hydraulics is to present the theory and the computation of
open channel flows using analytical, numerical, and experimental results. The book's target …
open channel flows using analytical, numerical, and experimental results. The book's target …
Perfectly matched layers methods for mixed hyperbolic–dispersive equations
Absorbing boundary conditions are important when one simulates the propagation of waves
on a bounded numerical domain without creating artificial reflections. In this paper, we …
on a bounded numerical domain without creating artificial reflections. In this paper, we …
[PDF][PDF] A robust and rapid numerical method for dispersive models admitting a lagrangian: application to Serre-Green-Naghdi equations for long free surface gravity …
A new numerical method for solving the Serre-Green-Naghdi (SGN) equations describing
dispersive waves on shallow water is proposed. From the mathematical point of view, the …
dispersive waves on shallow water is proposed. From the mathematical point of view, the …
A strategy to implement Dirichlet boundary conditions in the context of ADER finite volume schemes. One-dimensional conservation laws
GI Montecinos - Computers & Fluids, 2016 - Elsevier
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in
both space and time. They are based on a reconstruction procedure and the solution of …
both space and time. They are based on a reconstruction procedure and the solution of …
Numerical Modeling of Non-hydrostatic Free Surface Flow s
O Castro-Orgaz, WH Hager, O Castro-Orgaz… - Shallow Water …, 2019 - Springer
The shallow water equations (SWE) are a dispersionless system of hyperbolic PDEs
obtained by assuming that the vertical flow acceleration is negligible. Under this assumption …
obtained by assuming that the vertical flow acceleration is negligible. Under this assumption …
Une méthode numérique robuste et rapide pour la résolution des équations de Serre-Green-Naghdi décrivant les ondes de surfaces de grandes longueurs d'ondes
N Favrie, S Gavrilyuk - CFM 2017-23ème Congrès Français de …, 2017 - hal.science
Une nouvelle méthode numérique pour la résolution des équations de Serre-Green-Naghdi
(SGN) décrivant les ondes dispersives pour les écoulements en eau peu profonde est …
(SGN) décrivant les ondes dispersives pour les écoulements en eau peu profonde est …