Estudo matemático do método SPH para modelo Wet-Dam-Break
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Data
2019-03-29
Autores
Pereira, Clicia Giovane Alves [UNESP]
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Universidade Estadual Paulista (Unesp)
Resumo
Neste trabalho, apresenta-se o método Lagrangiano de partículas livre de malhas, Smoothed Particle Hydrodynamics (SPH). Neste método, o domínio do problema é discretizado empregando partículas que possuem propriedades físicas calculadas a partir das propriedades das partículas vizinhas, por meio de uma interpolação, utilizando uma função de suavização. O método foi aplicado para discretizar e adaptar para SPH um modelo de ruptura de barragem sobre um leito úmido conhecido como Dam-Break in Wet-Bed. Tal modelo, considerado ideal, é empregado nos testes de desempenho, precisão e confiabilidade de modelos matemáticos para validação de métodos numéricos aplicados a problemas de vertedouros em barragens hidrelétricas e ondas em praias.
In this work, we present the Lagrangian mesh-free method of particles, Smoothed Particle Hydrodynamics (SPH). In this method, the problem domain is discretized using particles having physical properties calculated from neighboring particles by means of interpolation using a smoothing function. The method was applied to discretize and to adapt the SPH for a model of dam rupture on a wet-bed known as Wet-Dam-Break. This model, considered as ideal, is used in tests of performance, accuracy and reliability of mathematical models for validation of numerical methods applied to spillways problems in hydroelectric dams and waves at beaches.
In this work, we present the Lagrangian mesh-free method of particles, Smoothed Particle Hydrodynamics (SPH). In this method, the problem domain is discretized using particles having physical properties calculated from neighboring particles by means of interpolation using a smoothing function. The method was applied to discretize and to adapt the SPH for a model of dam rupture on a wet-bed known as Wet-Dam-Break. This model, considered as ideal, is used in tests of performance, accuracy and reliability of mathematical models for validation of numerical methods applied to spillways problems in hydroelectric dams and waves at beaches.
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Palavras-chave
Smoothed particle hydrodynamics, Wet-bed, Dam-break