Shallow water equations applied to dam break analysis
This work presents the shallow water equation, which takes into account variations in quantities (water height and flow speed). This equation will be used to model dam failure problems in areas where the variation in the lateral direction (y) is significant, such as in valleys or uneven terrain. Sin...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | Brasil |
| Institución: | Universidade Federal de Santa Maria (UFSM) |
| Repositorio: | Revista Ciência e Natura (Online) |
| Idioma: | portugués |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/90599 |
| Acceso en línea: | https://periodicos.ufsm.br/cienciaenatura/article/view/90599 |
| Access Level: | acceso abierto |
| Palabra clave: | Shallow waters Finite elements Dam break Numerical methods Mathematical modeling Águas rasas Elementos finitos Rompimento de barragens Métodos numéricos Modelagem matemática |
| Sumario: | This work presents the shallow water equation, which takes into account variations in quantities (water height and flow speed). This equation will be used to model dam failure problems in areas where the variation in the lateral direction (y) is significant, such as in valleys or uneven terrain. Since this is a simplification of the Navier-Stokes equations, it is assumed that the depth variation in the vertical (z) direction is much smaller compared to the horizontal dimensions of the problem. For the numerical solution of this equation, the finite element method is used in the semi-implicit form of the general formulation of the characteristic variables. A case study will be addressed, showing validation with results from the literature. |
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