Study of immersed interface methods for the Navier-Stokes equations
Full text
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| Author(s): |
Gabriela Aparecida dos Reis
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2016-06-24 |
| Examining board members: |
José Alberto Cuminato;
Oscar Mauricio Hernandez Rodriguez;
Jorge Hugo Silvestrini;
Francisco José de Souza;
Leandro Franco de Souza
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| Advisor: | José Alberto Cuminato; Leandro Franco de Souza |
| Abstract | |
A great limitation of finite differences methods is that they are restricted to retangular meshes and domains. In order to describe flows in complex domains, e.g. free surface problems, it is necessary to use accessory techniques. The immersed interface method is one of such techniques. In the present work, firstly, a projection method was developed, which is completely pressure-free, for the Navier-Stokes equations with primitive variables in a staggered mesh. This method is based on compact finite differences, with temporal second-order precision and spatial foruth-order precision. This method was combined with the immersed interface method from Linnick e Fasel [2] in order to numerically solve the Stokes equations with fourth-order precision. The verification of the code was performed with the manufactured solutions method and by comparing results with other authors for some classical problems in the literature. (AU) | |
| FAPESP's process: | 12/04471-5 - The Imerse interface method in the simulation of free surface flows |
| Grantee: | Gabriela Aparecida dos Reis |
| Support Opportunities: | Scholarships in Brazil - Doctorate |