[HTML][HTML] An efficient unstructured MUSCL scheme for solving the 2D shallow water equations
The aim of this paper is to present a novel monotone upstream scheme for conservation law
(MUSCL) on unstructured grids. The novel edge-based MUSCL scheme is devised to …
(MUSCL) on unstructured grids. The novel edge-based MUSCL scheme is devised to …
A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
To simulate complex flows involving wet-dry fronts in irregular terrains over arbitrary beds,
this paper presents a 2D well-balanced shallow water flow model, based on an unstructured …
this paper presents a 2D well-balanced shallow water flow model, based on an unstructured …
A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains
This paper proposes a 2D unstructured finite volume Godunov-type shallow water model to
simulate complex flows involving wet–dry interfaces over irregular terrains. In this model, the …
simulate complex flows involving wet–dry interfaces over irregular terrains. In this model, the …
On the well-balanced numerical discretization of shallow water equations on unstructured meshes
We consider in this work a finite volume numerical approximation of weak solutions of the
shallow water equations with varying topography, on unstructured meshes. Relying on an …
shallow water equations with varying topography, on unstructured meshes. Relying on an …
Numerical modeling of two dimensional non-capacity model for sediment transport by an unstructured finite volume method with a new discretization of the source …
S Jelti, M Boulerhcha - Mathematics and Computers in Simulation, 2022 - Elsevier
The main goal of this work is the resolution of the two-dimensional shallow water equations
of water–sediment mixture coupled to the transport diffusion equation for the total sediment …
of water–sediment mixture coupled to the transport diffusion equation for the total sediment …
A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography
In this paper, a second-order finite volume Non-Homogeneous Riemann Solver is used to
obtain an approximate solution for the two-dimensional shallow water …
obtain an approximate solution for the two-dimensional shallow water …
A robust and well-balanced finite volume solver for investigating the effects of tides on water renewal timescale in the Nador lagoon, Morocco
Coastal lagoons, particularly those not well-connected to the sea, are highly susceptible to
continuous water retention, adversely affecting water quality and ecosystems …
continuous water retention, adversely affecting water quality and ecosystems …
Dynamically adaptive grid based discontinuous Galerkin shallow water model
A Godunov-type numerical model, which is based on the local planar Runge–Kutta
discontinuous Galerkin (RKDG2) solutions to the two dimensional (2D) shallow water …
discontinuous Galerkin (RKDG2) solutions to the two dimensional (2D) shallow water …
[HTML][HTML] High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations
G Li, L Song, J Gao - Journal of Computational and Applied Mathematics, 2018 - Elsevier
In this paper, we introduce high order well-balanced discontinuous Galerkin methods for
shallow water equations over non-flat bottom topography, which preserve the lake at rest …
shallow water equations over non-flat bottom topography, which preserve the lake at rest …
Some novel solutions of the coupled Whitham-Broer-Kaup equations
The shallow water equations provide a vast range of applications in the ocean, atmospheric
modeling, and pneumatic computing, which can also be utilized to modeling flows in rivers …
modeling, and pneumatic computing, which can also be utilized to modeling flows in rivers …