Thesis MÉTODO DE VOLUMENES FINITOS APLICADO A LAS ECUACIONES DE NAVIER STOKES Y EN EL FUNCIONAMIENTO DE VERTEDEROS
Date
2017
Authors
ASTROZA SALAZAR, NICOLÁS ANDRE
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Abstract
La evolucion de la computacion científica ha incentivado el desarrollo de metodos numericos para afrontar problemas asociados a la resolucion de ecuaciones diferenciales que hace tan solo un siglo no se podan resolver,contribuyendo as en multiples areas de la Ingeniera Civil.Con el fi n de avanzar en el conocimiento de herramientas capaces de resolverproblemas practicos de la Ingeniera Hidraulica es que se presenta un estudiodel metodo numerico de Volumenes Finitos dividido en dos partes:En primer lugar, para abordar los aspectos fundamentales del metodo, sedesarrolla la teora basica y rutinas de programacion que ejecutan el metodoen la resolucion de dos ecuaciones fundamentales de la Mecanica de Fluidos,la Ecuacion General de Transporte y la Ecuacion de Navier Stokes.En segundo lugar, para evaluar la capacidad predictiva delMetodo de VolumenesFinitos en una aplicacion propia de la Hidraulica, se desarrolla el modelofsico de una singularidad en contorno abierto previamente experimentadaen el canal hidraulico de la Universidad Tecnica Federico Santa Mara, CampusSan Joaqun. El escenario escogido corresponde al ujo de agua sobreun vertedero frontal de bajada curva y el modelo es realizado en el softwarede uso libre OpenFOAM.
The evolution of scientific computation has encouraged the developmentof numerical methods in problems related to differential equations that haveoccurred in a single century and have been found with the solved, thuscontributing in multiple areas of Civil Engineering.In order to advance knowledge of tools capable of solving Hydraulic Engineeringpractical problems, a study of Finite Volume Method divided intotwo parts is presented as it follows:First of all, to deal with the fundamental aspects of the method the basictheory and programming routines executing the method are developed bysolving two fundamental Fluid Mechanics equations: The General TransportEquation and The Navier-Stokes Equation.Secondly, to assess the predictive ability of Finite Volume Method in anapplication from the hydraulics, the physical model of a singularity is developedin a previously experienced open contour in the hydraulic channel atthe Federico Santa Maria Technical University, San Joaquin Campus. Thechosen case where the singularity takes place corresponds to the water flowthrough a high spillway and the model is performed in the free use softwareOpenFOAM.
The evolution of scientific computation has encouraged the developmentof numerical methods in problems related to differential equations that haveoccurred in a single century and have been found with the solved, thuscontributing in multiple areas of Civil Engineering.In order to advance knowledge of tools capable of solving Hydraulic Engineeringpractical problems, a study of Finite Volume Method divided intotwo parts is presented as it follows:First of all, to deal with the fundamental aspects of the method the basictheory and programming routines executing the method are developed bysolving two fundamental Fluid Mechanics equations: The General TransportEquation and The Navier-Stokes Equation.Secondly, to assess the predictive ability of Finite Volume Method in anapplication from the hydraulics, the physical model of a singularity is developedin a previously experienced open contour in the hydraulic channel atthe Federico Santa Maria Technical University, San Joaquin Campus. Thechosen case where the singularity takes place corresponds to the water flowthrough a high spillway and the model is performed in the free use softwareOpenFOAM.
Description
Catalogado desde la version PDF de la tesis.
Keywords
NAVIER STOKES , VERTEDEROS , VOLUMENES FINITOS