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| Author(s): |
Larissa Alves Petri
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2010-03-24 |
| Examining board members: |
Fabrício Simeoni de Sousa;
Alvaro Luiz Gayoso de Azeredo Coutinho;
Leandro Franco de Souza
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| Advisor: | Gustavo Carlos Buscaglia |
| Abstract | |
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 (AU) | |
| FAPESP's process: | 07/06128-8 - Immersed boundary methods in fluid mechanics |
| Grantee: | Larissa Alves Petri |
| Support Opportunities: | Scholarships in Brazil - Master |