Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
APPLICATION OF THE FINITE DIFFERENCES METHOD FOR NUMERICAL SIMULATION OF THE COUETTE FLOW
Submission Author:
GIOVANNA SANTOS , AL
Co-Authors:
GIOVANNA SANTOS
Presenter: GIOVANNA SANTOS
doi://10.26678/ABCM.COBEM2019.COB2019-0537
Abstract
Due to the complexity of the Navier-Stokes equations, since they are presented as a second order system and a nonlinear partial differential equations that describes the behavior of the fluid movement, they have, mainly, a few analytical solutions restricted to some particular cases. With the development of Computational Fluid Dynamics (CFD), through the application of numerical methods, it has been possible to solve them for more complex cases, providing a better comprehension of fluid flow process. The goal of this work is to demonstrate the application of Crank-Nicolson semi-implicit scheme for finite differences method to solve Couette incompressible flow with the pressure gradient in order to find the best time intervals and spatial discretization that provides accurate results with low computational cost. The best result was obtained for small spatial discretization and time intervals according to the accuracy that was defined as satisfactory.
Keywords
CFD, COUETTE FLOW, Finite Difference Method
