Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes

F Benkhaldoun, I Elmahi, M Seaı - Journal of computational physics, 2007‏ - Elsevier
Pollutant transport by shallow water flows on non-flat topography is presented and
numerically solved using a finite volume scheme. The method uses unstructured meshes …

The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation

D Dutykh, R Poncet, F Dias - European Journal of Mechanics-B/Fluids, 2011‏ - Elsevier
A novel tool for tsunami wave modeling is presented. This tool has the potential of being
used for operational purposes: indeed, the numerical code VOLNA is able to handle the …

New analytical solutions to the two-phase water faucet problem

L Zou, H Zhao, H Zhang - Progress in Nuclear Energy, 2016‏ - Elsevier
The one-dimensional water faucet problem is one of the classical benchmark problems
originally proposed by Ransom to study the two-fluid two-phase flow model. With …

A new finite volume method for flux-gradient and source-term balancing in shallow water equations

F Benkhaldoun, I Elmahi, M Seaïd - Computer Methods in Applied …, 2010‏ - Elsevier
We present a new finite volume method for flux-gradient and source-term balancing in the
numerical solution of shallow water equations on nonflat topography. The method consists …

Finite volume methods for unidirectional dispersive wave models

D Dutykh, T Katsaounis… - International Journal for …, 2013‏ - Wiley Online Library
We extend the framework of the finite volume method to dispersive unidirectional water
wave propagation in one space dimension. In particular, we consider a KdV–BBM‐type …

[HTML][HTML] A flux-limiter method for dam-break flows over erodible sediment beds

F Benkhaldoun, S Sari, M Seaid - Applied Mathematical Modelling, 2012‏ - Elsevier
Finite volume methods for dam-break flows over erodible sediment beds require a
monotone numerical flux. In the present study we present a new flux-limiter scheme based …

Exact Riemann solutions to shallow water equations

E Han, G Warnecke - Quarterly of Applied Mathematics, 2014‏ - ams.org
We determine completely the Riemann solutions to the shallow water equations with a
bottom step, including the dry bed problem. The nonstrict hyperbolicity of this first-order …

Численная схема для моделирования динамики поверхностных вод на основе комбинированного SPH-TVD подхода

СС Храпов, АВ Хоперсков, НМ Кузьмин… - Вычислительные …, 2011‏ - mathnet.ru
Разработан новый численный алгоритм расчета динамики поверхностных вод,
позволяющий проводить устойчивый сквозной счет на нерегулярном и/или разрывном …

A Predictor–corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography

K Mohamed, S Sahmim, MAE Abdelrahman - European Journal of …, 2022‏ - Elsevier
In this paper, we propose a numerical simulation of two-phase shallow granular flows
through a moved bed with a variable irregular topography via a predictor corrector scheme …

Numerical solution of steam flow in a nozzle using different non-equilibrium condensation models

J Halama, V Hric - Applied Mathematics and Computation, 2016‏ - Elsevier
The paper presents three Eulerian models for the two-phase flow of a steam with a non-
equilibrium condensation due to the rapid expansion. All models are based on the transport …