Full text
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| Author(s): |
Fernando Pacanelli Martins
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: | 2009-08-18 |
| Examining board members: |
José Alberto Cuminato;
Savio Brochini Rodrigues;
Murilo Francisco Tomé
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| Advisor: | José Alberto Cuminato |
| Abstract | |
The purpose of this work is the study of numerical methods for low Reynolds number incompressible free surface flows, including the GENSMAC methodology and its explicit and implicit formulations. In this context, we have special interest in the implicit formulation, in order to circumvent the parabolic stability restriction in the time step for free surface flows. The work can be divided into two parts: firstly, some modifications are proposed, discussed, and tested with the purpose of making the implicit formulation more e¢ cient and accurate; secondly, we take advantage of the results derived in the first part to generalize the numerical method for simulating viscoelastic free surface flows modeled by the constitutive equation SXPP. In both cases, the explicit formulation is also used for comparison and tests. Results that demonstrate the e¢ ciency and robustness of the developed techniques are presented and illustrated by the numerical simulation of complex problems involving free surface flows (AU) | |
| FAPESP's process: | 06/04336-0 - Development of an implicit numerical method for the simulation of viscoelastic free surface flows |
| Grantee: | Fernando Pacanelli Martins |
| Support Opportunities: | Scholarships in Brazil - Master |