Journal ArticleDOI
Two‐dimensional dam break flow simulation
P. Brufau,Pilar García-Navarro +1 more
TLDR
In this article, a cell centred finite volume method based on Roe's approximate Riemann solver across the edges of the cells is presented and the results are compared for first-and second-order accuracy.Abstract:
Numerical modelling of shallow water flow in two dimensions is presented in this work with the results obtained in dam break tests Free surface flow in channels can be described mathematically by the shallow-water system of equations These equations have been discretized using an approach based on unstructured Delaunay triangles and applied to the simulation of two-dimensional dam break flows A cell centred finite volume method based on Roe's approximate Riemann solver across the edges of the cells is presented and the results are compared for first- and second-order accuracy Special treatment of the friction term has been adopted and will be described The scheme is capable of handling complex flow domains as shown in the simulation corresponding to the test cases proposed, ie that of a dam break wave propagating into a 45° bend channel (UCL) and in a channel with a constriction (LNEC-IST) Comparisons of experimental and numerical results are shownread more
Citations
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Journal ArticleDOI
A numerical model for the flooding and drying of irregular domains
TL;DR: A cell‐centred finite volume method based on Roe's approximate Riemann solver across the edges of both structured and unstructured cells is presented and reproduces exactly steady state of still water in configurations with strong variations in bed slope and contour.
Journal ArticleDOI
Finite volume method for simulating extreme flood events in natural channels
TL;DR: In the context of the CADAM project, a new 2D computer code is developed, tested and applied, as described in the present paper, based on the Godunov approach for shallow water equations.
Journal ArticleDOI
Comparing the performance of a 2-D finite element and a 2-D finite volume model of floodplain inundation using airborne SAR imagery
TL;DR: In this article, the performances of a finite volume model (SFV) and finite element model (TELEMAC-2D) in reproducing inundation on a 16 km reach of the river Severn, United Kingdom, are compared.
Journal ArticleDOI
An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography
TL;DR: In this paper, 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 arbitrary topography with wetting and drying.
References
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Book
Open-channel hydraulics
TL;DR: This book discusses the development of Uniform Flow and its applications, as well as the theory and analysis of open channel flow, and the design of channels for Uniform Flow.
Book
High resolution schemes for hyperbolic conservation laws
TL;DR: In this article, a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented, which are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
Journal ArticleDOI
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TL;DR: The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.