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| Author(s): |
Cássio Machiaveli Oishi
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: | 2004-03-29 |
| Examining board members: |
José Alberto Cuminato;
Norberto Mangiavacchi;
Julio Romano Meneghini
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| Advisor: | José Alberto Cuminato |
| Abstract | |
In this work, implicit schemes are studied with the purpose of adapting them to the two-dirnensional GENSMAC method, for the numerical solution of unsteady newtonian incompressible flows. Using the velocíty-pressure formulation and different projection methods, the FreeFlow2D simulation system is employed to solve the conservation equations in the context of finite-difference. The viscous terms in the Navier-Stokes equations are implicitly treated via the Implicit Backward, Crank-Nicolson and Adams- Bashforth/Crank-Nicolson schemes. The convective terms are explicitly discretized by an upwind high-order limited scheme. For channel and jet flows with low Reynolds number and with free surfaces, the schemes are robusts and allow for larger time steps. Numerical results that compare very well with the analytic and experimental solutions are shown. (AU) | |