A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes-Reference-Cited by-同舟云学术

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A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes

Published:2013-04-04 Issue:3 Volume:73 Page:266-283
ISSN:0271-2091
Container-title:International Journal for Numerical Methods in Fluids
language:en
Short-container-title:Int. J. Numer. Meth. Fluids

Author:

Zhou Feng¹,Chen Guoxian²,Noelle Sebastian³,Guo Huaicheng⁴

Affiliation:

1. Laboratory for Earth Surface Processes, College of Urban and Environmental Sciences; Peking University; Beijing; 100871; China

2. School of Mathematics and Statistics; Wuhan University; Wuhan; 430072; China

3. IGPM; RWTH Aachen University of Technology; Templergraben 55; 52062; Aachen; Germany

4. College of Environmental Sciences and Engineering; Peking University; Beijing; 100871; China

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference47 articles.

1. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows;Audusse;Journal of Computational Physics,2004

2. A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes;Audusse;Journal of Computational Physics,2005

3. Application of the GRP scheme to open channel flow equations;Birman;Journal of Computational Physics,2007

4. Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows;Noelle;Journal of Computational Physics,2006

5. Well-balanced finite volume evolution Galerkin methods for the shallow water equations;Lukáčová-Medvidová;Journal of Computational Physics,2007

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1. A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids;Applied Numerical Mathematics;2024-04

2. Adaptive physical-constraints-preserving unstaggered central schemes for shallow water equations on quadrilateral meshes;ESAIM: Mathematical Modelling and Numerical Analysis;2022-11

3. Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts;Journal of Scientific Computing;2022-08-04

4. Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system;ESAIM: Mathematical Modelling and Numerical Analysis;2022-06-27

5. A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations;Communications in Computational Physics;2022-06

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