Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Grid Convergence Analysis Using Finite Volume Method for Nonlinear Case of Fluid Flow Between Two Parallel Flat Plates
Submission Author:
Wilcker Schinestzki , RS , Brazil
Co-Authors:
Wilcker Schinestzki, Leonardo Barros da Luz, José Carlos Ignacio Gonçalves Zart, Giuliano Demarco
Presenter: Wilcker Schinestzki
doi://10.26678/ABCM.COBEM2017.COB17-0938
Abstract
In nowadays engineering, Computational Fluid Dynamics (CFD) has been widely used for improving and developing new technologies. When it comes to complex heat transfer and fluid flow problems, it is necessary to use CFD for solving nonlinear differential equations which cannot be solved analytically. Although there are many numerical methods capable of solving this class of equations, Finite Volume Method (FVM) has been commonly used in the most well-established CFD codes. This method consists on solving discretized conservation equations in central points of each element of a grid, whose number of elements is determined by a base size. In order to acquire reliable solutions, it is important to insure the grid is converged, which means the numerical solution satisfactorily converges to the real answer of the problem. In the present work, the FVM is applied to a nonlinear fluid flow case between two parallel flat plates with the purpose of analyzing grid convergence. Therefore, maximum relative error between different grids was monitored until the defined stopping criteria has been satisfied. The developed code has shown good stability and convergence and it has been validated comparing numerical to analytical Navier-Stokes solution when considered a particular linear case. In this way, this work presents a useful technique for preliminary analysis of problems which can be approached as a nonlinear flow between two parallel flat plates, for instance, in wind tunnels’ test section or even in rotors lubrication analysis.
Keywords
CFD, grid, convergence, Nonlinear, flow

