A SECOND-ORDER WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME FOR THE SAINT-VENANT SYSTEM ∗

By Alexander Kurganov, Guergana Petrova. 2007

436 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/c2ead849996ea7616a0c55c3e1af343f47475ee3

How researchers see this paper

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

In Applied Mathematics

1. Chi-Wang Shu
2. Yulong Xing
3. Smadar Karni
4. Jorge Balbas
5. Jianxian Qiu
6. Michael Dumbser
7. Eleuterio F. Toro
8. Martin Käser

In Computational Mechanics

1. Chi-Wang Shu
2. Yulong Xing
3. Pingchuan Ma
4. Bo Ren
5. Dinesh Manocha
6. Zherong Pan
7. Smadar Karni
8. Jorge Balbas

Citations in the corpus

• A Survey of High Order Schemes for the Shallow Water Equations (2014, background): “There have been a number of positivity-preserving schemes [1, 5, 8, 15, 21, 32, 35] in the finite volume framework.”
• Fluid directed rigid body control using deep reinforcement learning (2018, methodology): “The shallow water equation is discretized and simulated using the numerical scheme proposed in [Kurganov and Petrova 2007], which has proved stability and supports modelling of dry-wet region changes.”
• A CENTRAL SCHEME FOR SHALLOW WATER FLOWS ALONG CHANNELS WITH IRREGULAR GEOMETRY (2009, positive): “The scheme extends previous works in [14, 7, 9] to shallow water flows in variable geometry.”