Exact solutions to the Riemann problem of the shallow water equations with a bottom step

By F. Alcrudo, F. Benkhaldoun. 2001

197 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/5daff105c3cc361f93f880bafc64353083b0a65b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atmospheric Science

1. Costanza Aricò
2. Tullio Tucciarelli
3. Marco Sinagra
4. Guoxian Chen
5. Lorenzo Begnudelli
6. Jiequan Li

In Computational Mechanics

1. Costanza Aricò
2. Tullio Tucciarelli
3. Marco Sinagra
4. Guoxian Chen
5. Lorenzo Begnudelli
6. Jiequan Li

Citations in the corpus

• The generalized Riemann problem method for the shallow water equations with bottom topography (2006, background): “In recent years the numerical treatment of (1) has attracted much attention, leading to a variety of schemes, see References [3–18] and references therein.”
• MAST-2D diffusive model for flood prediction on domains with triangular Delaunay unstructured meshes (2011, methodology): “Alcrudo and Benkhaldoun [3] used a topography discretization such that a sudden change in the topography occurs at the interface of two cells and solve a Riemann problem at the interface with a sudden change in the bed elevation.”