A simple and efficient unstructured finite volume scheme for solving the shallow water equations in overland flow applications
This paper presents the decoupled hydrological discretization (DHD) scheme for solving the
shallow water equations in hydrological applications involving surface runoff in rural and …
shallow water equations in hydrological applications involving surface runoff in rural and …
A new Savage–Hutter type model for submarine avalanches and generated tsunami
In this paper, we present a new two-layer model of Savage–Hutter type to study submarine
avalanches. A layer composed of fluidized granular material is assumed to flow within an …
avalanches. A layer composed of fluidized granular material is assumed to flow within an …
[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 …
Stabilized residual distribution for shallow water simulations
M Ricchiuto, A Bollermann - Journal of Computational Physics, 2009 - Elsevier
We propose a stabilized Residual Distribution (RD) scheme for the simulation of shallow
water flows. The final discretization is obtained combining the stabilized RD approach …
water flows. The final discretization is obtained combining the stabilized RD approach …
An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography
IK Nikolos, AI Delis - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
An unstructured high-resolution, node-centered finite volume algorithm for triangular grids is
developed in order to simulate unsteady, two-dimensional, shallow water flows over …
developed in order to simulate unsteady, two-dimensional, shallow water flows over …
Hyperbolic balance laws: residual distribution, local and global fluxes
R Abgrall, M Ricchiuto - Numerical Fluid Dynamics: Methods and …, 2022 - Springer
This review paper describes a class of scheme named “residual distribution schemes” or
“fluctuation splitting schemes”. They are a generalization of Roe's numerical flux in …
“fluctuation splitting schemes”. They are a generalization of Roe's numerical flux in …
[PDF][PDF] A survey of high order schemes for the shallow water equations
In this paper, we survey our recent work on designing high order positivitypreserving well-
balanced finite difference and finite volume WENO (weighted essentially non-oscillatory) …
balanced finite difference and finite volume WENO (weighted essentially non-oscillatory) …
Efficient numerical finite volume schemes for shallow water models
F Bouchut - Edited Series on Advances in Nonlinear Science and …, 2007 - Elsevier
This chapter is devoted to the description of recently developed efficient tools for the
numerical resolution of shallow water models, and in particular for the case of Coriolis force …
numerical resolution of shallow water models, and in particular for the case of Coriolis force …
Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations
L Cea, ME Vázquez-Cendón - Journal of Computational Physics, 2012 - Elsevier
The finite volume discretisation of the shallow water equations has been the subject of many
previous studies, most of which deal with a well-balanced conservative discretisation of the …
previous studies, most of which deal with a well-balanced conservative discretisation of the …
Explicit Runge–Kutta residual distribution schemes for time dependent problems: second order case
M Ricchiuto, R Abgrall - Journal of Computational Physics, 2010 - Elsevier
In this paper, we construct spatially consistent explicit second order discretizations for time
dependent hyperbolic problems, starting from a given residual distribution (RD) discrete …
dependent hyperbolic problems, starting from a given residual distribution (RD) discrete …