Computational Algorithms for Shallow Water Equations

Computational Algorithms for Shallow Water Equations

Toro, Eleuterio F.

Springer International Publishing AG

09/2024

400

Dura

9783031613944

Pré-lançamento - envio 15 a 20 dias após a sua edição

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The Shallow Water Equations.- Notions on Hyperbolic Equations.- Linear Shallow Water Equations.- Properties of the Nonlinear Equations.- Elementary Waves in Shallow Water.- Exact Riemann Solver: Wet Bed.- Exact Riemann Solver: Dry Bed.- Tests with Exact Solution.- Notions on Numerical Methods.- First-Order Methods for Systems.- Approximate Riemann Solvers.- Second-Order Non-Linear Methods.- Sources and Multidimensions.- Ader High-Order Methods.- Dam-Break Modelling.- Mach Reflection in Tsunamis.- Concluding Remarks.
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free-surface shallow flows;shallow water flows;Riemann solvers;finite volume;shock-capturing methods;Godunov methods;TVD methods