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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2010.tde-18052010-154810
Document
Author
Full name
Larissa Alves Petri
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2010
Supervisor
Committee
Sousa, Fabrício Simeoni de (President)
Coutinho, Alvaro Luiz Gayoso de Azeredo
Souza, Leandro Franco de
Title in Portuguese
Métodos de fronteira imersa em mecânica dos fluidos
Keywords in Portuguese
Computação paralela
Método acoplado
Método de fronteira imersa
Método de projeção
Pré-condicionadores
Abstract in Portuguese
No desenvolvimento de códigos paralelos, a biblioteca PETSc se destaca como uma ferramenta prática e útil. Com o uso desta ferramenta, este trabalho apresenta um estudo sobre resolvedores de sistemas lineares aplicados a escoamentos incompressíveis de fluidos em microescala, além de uma análise de seu comportamento em paralelo. Após um estudo dos diversos aspectos dos métodos de fronteira imersa, é apresentado um método de fronteira imersa paralelo de primeira ordem. Na sequência, é apresentada uma proposta de melhoria na precisão do método, baseada na minimização da distância entre a condição de contorno exata e aproximada, no sentido de mínimos quadrados. O desenvolvimento de uma ferramenta paralela eficiente é demonstrado na solução numérica de problemas envolvendo escoamentos incompressíveis de fluidos viscosos com fronteiras imersas
Title in English
Immersed boundary methods in fluid mechanics
Keywords in English
Immersed boundary methods
Monolithic solver
Parallel computing
Preconditioners
Projection method
Abstract in English
In the development of parallel codes, PETSc library has an important position as a practical and useful tool. With this tool, this work presents a study about linear system solvers applied to incompressible flow in microscale problems, furthermore an analysis of the parallel behavior of these methods is presented. After a study of several aspects of immersed boundary methods, and taking advantage of the flexibility of PETSc, a parallel first order immersed boundary method is presented. Thereafter, an improvement in the accuracy of the method is presented, based on the minimization of the distance between exact and approximated boundary conditions, in the least square sense. The development of a parallel and efficient tool is demonstrated in the numerical solution of incompressible viscous flow problems with immersed boundary
 
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Publishing Date
2010-05-18
 
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