Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number
Submission Author:
Fernando José da Silva , PR
Co-Authors:
Francisco Augusto Aparecido Gomes, Paulo Rogério Novak, Aureo Quintas Garcia, Mildred Ballin Hecke, Fernando José da Silva
Presenter: Fernando José da Silva
doi://10.26678/ABCM.COBEM2017.COB17-2592
Abstract
In this work, we demonstrate the numerical solution using the Galerking high order discontinued method to simulate the flow around a cylindrical channel and a Naca 0012 section using a low Reynolds number. These problems consist in a laminar viscous flow of incompressible fluid through a rectangular channel. The basic equations that represent the physical model are characterized by Navier-Stokes equation for viscous and incompressible fluids. These equations are very useful to represent numerical solutions for predominantly convective problems in engineering applications. For the flow around de cylinder, it was implemented an adequate output limit when the flow properties are detailed, this directional condition is known as do-nothing. This limit condition class can be applied with truncated domains, reducing the computational cost of the simulation, which is very compelling when high order methods are applied because their degree of freedom are high when compared to other discretization method. To study if this type of limit condition affects the numerical behavior of the solution, the convergence order and the accuracy of the solution must be investigated. To do that, some test cases will be described and both the numerical and physical aspects will be discussed. The comparisons and discussions will be made based on classical literature references.
Keywords
High-order Method, Discontinuous Galerkin, Incompressible fluid, Truncated domain, Low Reynolds number
