Godunov-type methods for free-surface shallow flows: A review

EF Toro, P Garcia-Navarro - Journal of Hydraulic Research, 2007 - Taylor & Francis
This review paper concerns the application of numerical methods of the Godunov type to the
computation of approximate solutions to free-surface gravity flows modelled under a shallow …

Numerical resolution of well-balanced shallow water equations with complex source terms

Q Liang, F Marche - Advances in water resources, 2009 - Elsevier
This paper presents a well-balanced numerical scheme for simulating frictional shallow
flows over complex domains involving wetting and drying. The proposed scheme solves, in …

An intercomparison of remote sensing river discharge estimation algorithms from measurements of river height, width, and slope

M Durand, CJ Gleason, PA Garambois… - Water Resources …, 2016 - Wiley Online Library
Abstract The Surface Water and Ocean Topography (SWOT) satellite mission planned for
launch in 2020 will map river elevations and inundated area globally for rivers> 100 m wide …

A numerical model for the flooding and drying of irregular domains

P Brufau, ME Vázquez‐Cendón… - … Journal for Numerical …, 2002 - Wiley Online Library
A numerical technique for the modelling of shallow water flow in one and two dimensions is
presented in this work along with the results obtained in different applications involving …

Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography

P Brufau, P García‐Navarro… - … Journal for Numerical …, 2004 - Wiley Online Library
A wetting–drying condition (WDC) for unsteady shallow water flow in two dimensions
leading to zero numerical error in mass conservation is presented in this work. Some …

The influence of grid shape and grid size on hydraulic river modelling performance

A Bomers, RMJ Schielen, SJMH Hulscher - Environmental fluid mechanics, 2019 - Springer
Grid shape (curvilinear/structured versus triangular/unstructured) and grid size affect model
output. In this study structured, unstructured and hybrid grids with a high and low resolution …

Review of wetting and drying algorithms for numerical tidal flow models

SC Medeiros, SC Hagen - International journal for numerical …, 2013 - Wiley Online Library
SUMMARY A review of wetting and drying (WD) algorithms used by contemporary numerical
models based on the shallow water equations is presented. The numerical models reviewed …

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 …

A fully implicit wetting–drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary

T Kärnä, B De Brye, O Gourgue, J Lambrechts… - Computer Methods in …, 2011 - Elsevier
Resolving the shoreline undulation due to tidal excursion is a crucial part of modelling water
flow in estuaries and coastal areas. Nevertheless, maintaining positive water column depth …

Constraining remote river discharge estimation using reach‐scale geomorphology

CB Brinkerhoff, CJ Gleason, D Feng… - Water Resources …, 2020 - Wiley Online Library
Recent advances in remote sensing and the upcoming launch of the joint NASA/CNES/CSA/
UKSA Surface Water and Ocean Topography (SWOT) satellite point toward improved river …