Pollutant transport by shallow water equations on unstructured meshes: Hyperbolization of the model and numerical solution via a novel flux splitting scheme

2016 ◽  
Vol 321 ◽  
pp. 1-20 ◽  
Author(s):  
Davide Vanzo ◽  
Annunziato Siviglia ◽  
Eleuterio F. Toro
Keyword(s):  
Numerical Solution ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Pollutant Transport ◽  
Unstructured Meshes ◽  
Splitting Scheme ◽  
Flux Splitting

A flux-splitting solver for shallow water equations with source terms

2003 ◽  
Vol 42 (1) ◽  
pp. 23-55 ◽  
Author(s):  
Tomás Chacón Rebollo ◽  
Enrique D. Fernández Nieto ◽  
Macarena Gómez Mármol
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Source Terms ◽  
Flux Splitting

scholarly journals Implicit and time reversible CABARET schemes for quasilinear shallow water equations

2016 ◽  
pp. 402-414
Author(s):  
В.М. Головизнин ◽  
Д.Ю. Горбачев ◽  
А.М. Колокольников ◽  
П.А. Майоров ◽  
П.А. Майоров ◽  
...  
Keyword(s):  
Difference Scheme ◽  
Numerical Solution ◽  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equations ◽  
Unconditionally Stable ◽  
One Dimensional ◽  
Dispersion Properties ◽  
The One ◽  
Stable Scheme

Предложена новая неявная безусловно устойчивая схема для одномерных уравнений мелкой воды, сохраняющая все особенности явной схемы Кабаре. Проведен анализ диссипативных и дисперсионных свойств новой схемы и предложен алгоритм ее численного решения. Приведены примеры решения задачи о распаде разрыва. A new implicit unconditionally stable scheme for the one-dimensional shallow water equations is proposed. This implicit scheme retains all the features of the explicit CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) difference scheme. Dissipative and dispersion properties of this new scheme are analyzed; an algorithm of its numerical solution is discussed. Some examples of solving the Riemann problem are considered.

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