Finite-volume schemes for shallow-water equations (original) (raw)

Some approximate Godunov schemes to compute shallow-water equations with topography

Thierry Gallouët

Computers & Fluids, 2003

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Moving-water equilibria preserving central-upwind schemes for the shallow water equations

Alexander Kurganov

Communications in Mathematical Sciences, 2016

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Extension of an explicit finite volume method to large time steps (CFL>1): application to shallow water flows

Javier Murillo

International Journal for Numerical Methods in Fluids, 2006

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Conservative Multidimensional Upwinding for the Steady Two-Dimensional Shallow Water Equations

María Pilar García Navarro

Journal of Computational Physics, 1997

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Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

A. Chertock, Alexander Kurganov

Numerische Mathematik, 2013

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A simple finite volume method for the shallow water equations

Fayssal Benkhaldoun

Journal of Computational and Applied Mathematics, 2010

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Finite Volume Model for Shallow Water Equations with Improved Treatment of Source Terms

Dhrubajyoti Sen

Journal of Hydraulic Engineering-asce, 2008

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Central schemes for conservation laws with application to shallow water equations

Giovanni Russo

Trends and Applications of Mathematics to Mechanics, 2005

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Numerical Solutions of One-Dimensional Shallow Water Equations

peter crowhurst

2013 UKSim 15th International Conference on Computer Modelling and Simulation, 2013

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Central-Upwind Schemes for the Saint-Venant System

Alexander Kurganov

ESAIM: Mathematical Modelling and Numerical Analysis, 2002

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A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system

Alexander Kurganov

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A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

Alexander Kurganov

Journal of Scientific Computing, 2019

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Extension of a well-balanced central upwind scheme for variable density shallow water flow equations on triangular grids

Sepideh Khorshid

Computers & Fluids, 2017

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A family of stable numerical solvers for the shallow water equations with source terms

Tomas Rebollo

Computer Methods in Applied Mechanics and Engineering, 2003

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A finite volume upwind-biased centred scheme for hyperbolic systems of conservation laws. Applica-tions to shallow water equations

Guglielmo Stecca

Communications in Computational Physics, 2012

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Central-upwind schemes for two-layer shallow water equations

Alexander Kurganov

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A well-defined moving steady states capturing Godunov-type scheme for Shallow-water model

Diaraf Seck

2021

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Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations

R. Touma

Applied Mathematics and Computation, 2009

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An Unconditionally Stable Scheme for the Shallow Water Equations*

Naomi Henderson

Monthly Weather Review, 2000

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Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

A. Chertock, Alexander Kurganov

ESAIM: Mathematical Modelling and Numerical Analysis, 2011

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A path conservative finite volume method for a shear shallow water model

Asha Meena

Journal of Computational Physics

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Relaxation Models and Finite Element Schemes for the Shallow Water Equations

Theodoros Katsaounis

Hyperbolic Problems: Theory, Numerics, Applications, 2003

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Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

Sebastian Noelle

Journal of Computational Physics, 2006

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A semi-implicit SPH scheme for the shallow water equations

Adeleke Bankole

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A semi-implicit SPH scheme for the two-dimensional shallow water equations

Adeleke Bankole

2015

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Analysis of the Turkel-Zwas scheme for the shallow-water equations

Beny Neta

Journal of Computational Physics, 1989

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A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Benoit Perthame

SIAM Journal on Scientific Computing, 2004

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Balanced Central NT Schemes for the Shallow Water Equations

Nelida Crnjaric-Zic

Proceedings of the Conference on Applied Mathematics and Scientific Computing

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