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Título del libro: Simultech 2012 - Proceedings Of The 2nd International Conference On Simulation And Modeling Methodologies, Technologies And Applications
Título del capítulo: Simulation of shallow-water flows in complex bay-like domains

Autores UNAM:
IOURI SKIBA SKIBA;

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Autores externos:

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Idioma:
Inglés

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Año de publicación:
2012

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Palabras clave:

Computational domains; Finite difference scheme; Open boundaries; Shallow-water flow; Simulation of fluid dynamics problems; Finite difference method; Flow of water; Hydraulics; Numerical methods; Waterworks; Computer simulation

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Resumen:

A new numerical method for the simulation of shallow-water flows in a bay-like domain is suggested. The method is based on the splitting of the original nonlinear operator by physical processes and by coordinates. An essential advantage of our finite difference splitting-based method versus others in the field is that it leads to a model allowing accurate simulation of shallow-water flows in a domain of an arbitrary shape with both closed and open boundaries, which besides may contain onshore parts inside (interior isles in the bay); the model also takes into account irregular bottom topography. Specially constructed approximations of the temporal and spatial derivatives result in second-order unconditionally stable finite difference schemes that conserve the mass and the total energy of the discrete inviscid unforced shallow-water system. Moreover, the potential enstrophy results to be bounded, oscillating in time within a narrow range. Therefore, the numerical solution, aside from being accurate from the mathematical point of view, appears to be physically adequate, inheriting a number of substantial properties of the original differential shallow-water system. Furthermore, the method can straightforwardly be implemented for distributed simulation of shallow-water flows on high-performance parallel computers. To test the method numerically, we start with the inviscid shallow-water model and verify the conservatism of the schemes in a simple computational domain. Then we introduce a domain with a more complex boundary consisting of closed and open segments, and consider more realistic viscous wind-driven shallow-water flows. Numerical experiments presented confirm the skills of the developed method.

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Entidades citadas de la UNAM:

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Fuente:


ISBN:
9789898565204
Editorial:

Tipo de producto:
Conference Paper