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Título del libro: Computational Methods In Surface Hydrology
Título del capítulo: Adaptive mesh scheme for free surface flows with moving boundaries

Autores UNAM:
ALVARO ALBERTO ALDAMA RODRIGUEZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
1990
Palabras clave:

Dams - Failure; Irrigation; Mathematical Techniques - Numerical Methods; Adaptive Mesh Schemes; Coordinate Transformations; Free Surface Flows; Moving Boundaries; Saint-Venant Equations; Flow of Water


Resumen:

There are some one-dimensional free surface flows which passes moving boundaries. Such is the case of the flow in the advance phase of furrow irrigation or in the dam-brake problem. Due to the time-bearing nature of the flow domain, it is difficult to use fixed grid schemes without making strong simplifications. This paper presents an adaptive grid method which allows solution of this kind of problem. A coordinate transformation allows a mapping of the deforming physical domain into a fixed computational domain. This transformation is applied to the Saint-Venant equations, which are solved by employing an implicit scheme second order accuracy, based on a Preissmann type linearization. This method is applied to a case study with very encouraging results.


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