A High Order Finite Volume Numerical Scheme for Shallow Water System: An Efficient Implementation on GPUs

2010 ◽  
pp. 227-235
Author(s):  
M. J. Castro Díaz ◽  
M. Lastra ◽  
J. M. Mantas ◽  
S. Ortega
Keyword(s):  
Shallow Water ◽  
Finite Volume ◽  
Numerical Scheme ◽  
Water System ◽  
Efficient Implementation ◽  
High Order ◽  
Shallow Water System

A parallel 2D finite volume scheme for solving the bilayer shallow-water system

1996 ◽  
pp. 199-206
Author(s):  
M.J. Gastro ◽  
J.A. García-Rodríguez ◽  
J.M. González-Vida ◽  
C. Parés
Keyword(s):  
Shallow Water ◽  
Finite Volume ◽  
Water System ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Shallow Water System

scholarly journals A simple well-balanced and positive numerical scheme for the shallow-water system

2015 ◽  
Vol 13 (5) ◽  
pp. 1317-1332 ◽  
Author(s):  
Emmanuel Audusse ◽  
Christophe Chalons ◽  
Philippe Ung
Keyword(s):  
Shallow Water ◽  
Numerical Scheme ◽  
Water System ◽  
Shallow Water System

scholarly journals A combined finite volume - finite element scheme for a dispersive shallow water system

2016 ◽  
Vol 11 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Nora Aïssiouene ◽  
Marie-Odile Bristeau ◽  
Edwige Godlewski ◽  
Jacques Sainte-Marie
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Finite Volume ◽  
Water System ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Shallow Water System

WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE

2007 ◽  
Vol 17 (12) ◽  
pp. 2055-2113 ◽  
Author(s):  
MANUEL J. CASTRO ◽  
ALBERTO PARDO MILANÉS ◽  
CARLOS PARÉS
Keyword(s):  
Shallow Water ◽  
Numerical Scheme ◽  
Source Term ◽  
Hyperbolic Systems ◽  
Water System ◽  
The Other ◽  
Reconstruction Technique ◽  
Numerical Schemes ◽  
Shallow Water System ◽  
The One

The goal of this paper is to generalize the hydrostatic reconstruction technique introduced in Ref. 2 for the shallow water system to more general hyperbolic systems with source term. The key idea is to interpret the numerical scheme obtained with this technique as a path-conservative method, as defined in Ref. 35. This generalization allows us, on the one hand, to construct well-balanced numerical schemes for new problems, as the two-layer shallow water system. On the other hand, we construct numerical schemes for the shallow water system with better well-balanced properties. In particular we obtain a Roe method which solves exactly every stationary solution, and not only those corresponding to water at rest.

Global well-posedness for the viscous shallow water system with Korteweg type

2017 ◽  
Vol 97 (16) ◽  
pp. 2865-2879
Author(s):  
Jinlu Li ◽  
Zhaoyang Yin
Keyword(s):  
Shallow Water ◽  
Water System ◽  
Well Posedness ◽  
Shallow Water System
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