High-order finite-volume methods for the shallow-water equations on the sphere

Journal of Computational Physics ◽

10.1016/j.jcp.2010.04.044 ◽

2010 ◽

Vol 229 (17) ◽

pp. 6104-6134 ◽

Author(s):

Paul A. Ullrich ◽

Christiane Jablonowski ◽

Bram van Leer

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

Download Full-text

Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

Computers & Fluids ◽

10.1016/j.compfluid.2007.07.017 ◽

2008 ◽

Vol 37 (3) ◽

pp. 299-316 ◽

Author(s):

M.J. Castro Díaz ◽

E.D. Fernández-Nieto ◽

A.M. Ferreiro

Keyword(s):

Sediment Transport ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Numerical Approach ◽

Finite Volume Methods ◽

Transport Models

Download Full-text

Closure to “A remark on finite volume methods for 2D shallow water equations over irregular bottom topography” by Cristiana Di Cristo, Massimo Greco, Michele Iervolino, Riccardo Martino and Andrea Vacca

Journal of Hydraulic Research ◽

10.1080/00221686.2021.1944925 ◽

2021 ◽

Vol 59 (6) ◽

pp. 1038-1039

Author(s):

Cristiana Di Cristo ◽

Massimo Greco ◽

Michele Iervolino ◽

Riccardo Martino ◽

Andrea Vacca

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Methods ◽

2D Shallow Water Equations

Download Full-text

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

Journal of Computational Physics ◽

10.1016/j.jcp.2007.08.007 ◽

2007 ◽

Vol 227 (1) ◽

pp. 574-601 ◽

Author(s):

José M. Gallardo ◽

Carlos Parés ◽

Manuel Castro

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Download Full-text

Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.09.026 ◽

2016 ◽

Vol 296 ◽

pp. 462-479 ◽

Author(s):

H. Alemi Ardakani ◽

T.J. Bridges ◽

M.R. Turner

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

Download Full-text

Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions

SIAM Journal on Scientific Computing ◽

10.1137/110857295 ◽

2012 ◽

Vol 34 (6) ◽

pp. B761-B784 ◽

Author(s):

S. Mishra ◽

Ch. Schwab ◽

J. Šukys

Keyword(s):

Monte Carlo ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

Multilevel Monte Carlo

Download Full-text

Central Unstaggered Finite Volume Methods for Shallow Water Equations

10.1063/1.2790204 ◽

2007 ◽

Author(s):

Rony Touma ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods

Download Full-text

An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2015.10.121 ◽

2015 ◽

Vol 10 (2) ◽

pp. 121-162 ◽

Author(s):

Peter McCorquodale ◽

Paul Ullrich ◽

Hans Johansen ◽

Phillip Colella

Keyword(s):

Shallow Water ◽

Finite Volume Method ◽

Finite Volume ◽

Shallow Water Equations ◽

Download Full-text

A remark on finite volume methods for 2D shallow water equations over irregular bottom topography

Journal of Hydraulic Research ◽

10.1080/00221686.2020.1744752 ◽

2020 ◽

pp. 1-8

Author(s):

Cristiana Di Cristo ◽

Massimo Greco ◽

Michele Iervolino ◽

Riccardo Martino ◽

Andrea Vacca

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Methods ◽

2D Shallow Water Equations

Download Full-text

HIGH-RESOLUTION FINITE VOLUME METHODS FOR THE SHALLOW WATER EQUATIONS WITH BATHYMETRY AND DRY STATES

Advances in Coastal and Ocean Engineering - Advanced Numerical Models for Simulating Tsunami Waves and Runup ◽

10.1142/9789812790910_0002 ◽

2008 ◽

pp. 43-73 ◽

Author(s):

Randall J. LeVeque ◽

David L. George

Keyword(s):

High Resolution ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods

Download Full-text

On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-540-75712-2_21 ◽

2008 ◽

pp. 259-270

Author(s):

J. M. Gallardo ◽

M. Castro ◽

C. Parés ◽

J. M. González-Vida

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Download Full-text