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http://hdl.handle.net/10347/16591
Título: | Contributions to the numerical solution of heterogeneous fluid mechanics models
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Autor/a: | Busto Ulloa, Saray
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Dirección/Titoría: | Ferrín González, José Luis
Vázquez Cendón, María Elena
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Centro/Departamento: | Universidade de Santiago de Compostela. Centro Internacional de Estudos de Doutoramento e Avanzados (CIEDUS) Universidade de Santiago de Compostela. Escola de Doutoramento Internacional en Ciencias e Tecnoloxía Universidade de Santiago de Compostela. Programa de Doutoramento en Métodos Matemáticos e Simulación Numérica en Enxeñaría e Ciencias Aplicadas
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Palabras chave: | Navier-Stokes equations | Advection-diffusion-reaction equations | High order finite volume methods | Projection hybrid finite volume-finite element method | |
Data: | 2018
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Resumo: | A high order projection hybrid finite volume – finite element method is developed to solve incompressible and compressible low Mach number flows. Furthermore, turbulent regimes are also considered thanks to the k–ε model. The unidimensional advection-diffusion-reaction equation is used to construct, analyze and assess high order finite volume schemes. Two families of methods are studied: Kolgan-type schemes and ADER methodology. A modification of the last one is proposed providing a new numerical method called Local ADER. The designed method is extended to solve the transport-diffusion stage of the three-dimensional projection method. Within the projection stage the pressure correction is computed by a piecewise linear finite element method. Numerical results are presented, aimed at verifying the formal order of accuracy of the schemes and to assess the performance of the method on several realistic test problems. |
URI: | http://hdl.handle.net/10347/16591
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Dereitos: | Esta obra atópase baixo unha licenza internacional Creative Commons BY-NC-ND 4.0. Calquera forma de reprodución, distribución, comunicación pública ou transformación desta obra non incluída na licenza Creative Commons BY-NC-ND 4.0 só pode ser realizada coa autorización expresa dos titulares, salvo excepción prevista pola lei. Pode acceder Vde. ao texto completo da licenza nesta ligazón: https://creativecommons.org/licenses/by-nc-nd/4.0/deed.gl
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