Gravity driven shallow water models for arbitrary topography

By François Bouchut, Michael Westdickenberg. 2004

210 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Management, Monitoring, Policy and Law, Oceanography

View Paper: https://www.semanticscholar.org/paper/f5a1231f44caa077f9394972c12ee9d222eed506

How researchers see this paper

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

In Earth-Surface Processes

1. Jacques Sainte-Marie
2. Anne Mangeney
3. Fabien Marche
4. Emmanuel Audusse
5. Benoit Perthame
6. Marie-Odile Bristeau
7. Olivier Roche
8. A. Valance

In Management, Monitoring, Policy and Law

1. Chih-Yu Kuo
2. Y. Tai
3. Olivier Roche
4. Jacques Sainte-Marie
5. P. Richard
6. Anne Mangeney
7. Fabien Marche
8. Emmanuel Audusse

In Oceanography

1. Jacques Sainte-Marie
2. Emmanuel Audusse
3. Benoit Perthame
4. Marie-Odile Bristeau
5. Anne Mangeney
6. Fabien Marche
7. Claudio Paniconi
8. Mario Putti

Citations in the corpus

• Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects (2007, background): “A study of gravity driven shallow water flows without any restriction on the topography can be found for instance in [6] and [ 7 ].”
• A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation* (2009, methodology): “Another form of κ(vb, H) is used in [10] and for other wall laws, the reader can also refer to [21].”
• Granular and particle-laden flows: from laboratory experiments to field observations (2017, methodology): “By considering a fixed reference frame but applying the thin-layer approximation in the direction perpendicular to the slope, Bouchut et al (2003) and Bouchut and Westdickenberg (2004) derived a model that takes into account accurately all the curvature terms for flows over an arbitrary topography,…”
• Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows (2006, background): “The proper treatment of Coriolis forces is considered, for instance, in [5], see also [6] for a general topography.”
• A new model of granular flows over general topography with erosion and deposition (2008, background): “Bouchut and Westdickenberg [1] proposed an arbitrary coordinate system (BW) for general topography.”
• Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, background): “D velocity vector at any point of the fluid domain, the so-called cross-flow integration path [Bouchout and Westdickenberg, 2004].”