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| Author(s): |
Josuel Kruppa Rogenski
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: | 2011-04-06 |
| Examining board members: |
Leandro Franco de Souza;
Paulo Seleghim Junior;
Fabrício Simeoni de Sousa
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| Advisor: | Leandro Franco de Souza |
| Abstract | |
The objective of the present work is to study the parallelization of partial differential equations. The aim is to achieve an effective parallelization to generate numerical solution of Navier-Stokes equations in a two-dimensional incompressible and isothermal flow of a Newtonian fluid. The spatial derivatives are calculated using compact finite differences approximations of higher order accuracy. Since the calculation of spatial derivatives with high order adopted in the present work requires the solution of tridiagonal systems, it is important to conduct studies to solve these systems and achieve good performance. In addiction, linear systems solution is also present in the numerical solution of a Poisson equation. The results generated by the solution of partial differential equations are compared to analytical solution, in order to verify the accuracy of the implemented methods. The numerical parallel solution of a Navier-Stokes equations is compared with linear stability theory to validate the final code. The performance and the speedup of the code in question is also checked, comparing the execution time in function of the number of processing elements (AU) | |
| FAPESP's process: | 09/03208-6 - Optimization and development of a parallel incompressible flow code |
| Grantee: | Josuel Kruppa Rogenski |
| Support Opportunities: | Scholarships in Brazil - Master |