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| Author(s): |
Alysson Alexander Naves Silva
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: | 2010-04-26 |
| Examining board members: |
Fabrício Simeoni de Sousa;
Norberto Mangiavacchi;
Paulo Seleghim Junior
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| Advisor: | Fabrício Simeoni de Sousa |
| Abstract | |
An arbitrary lagrangian-eulerian finite element method to solve surface tension dominated flows is presented. Such flows are important in many applications, particularly in capillary channels, that appear in microscale flows. The resolution of such flows presents several challenges that are addressed in this work. The flow is solved only in the liquid phase, and proper boundary conditions are applied on the free-surface, bounding the liquid and gas, which is explicitly represented by vertices and edges of the computational mesh. The mesh is moved and deformed, but its quality is kept under control in order to control errors in the numerical solution. The Navier-Stokes equations are discretized by standard Galerkin finite element method in an arbitrary reference. Details of the computation of surface tension and contact line effects are presented. The methodology is validated for a number of simple test cases against known pseudo-analytical solutions, and numerical results are presented, showing the robustness and accuracy of the methodology. Finally, some results about surface-tension-driven flows in capillaries are presented (AU) | |
| FAPESP's process: | 08/01878-1 - Numerical simulation of 2D multiphase flows with dynamic contact lines |
| Grantee: | Alysson Alexander Naves Silva |
| Support Opportunities: | Scholarships in Brazil - Master |