Eventos Anais de eventos
ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
Numerical Analysis of the Incompressible Fluid Flow Around a Two-Dimensional Cylinder by High-Order Discontinuous Galerkin Method
Submission Author:
Aureo Quintas Garcia , PR
Presenter: Aureo Quintas Garcia
doi://10.26678/ABCM.ENCIT2016.CIT2016-0072
Abstract
We present application of discontinuous Galerkin method (DG) to a classical cylider-channel experiment consiting of laminar viscous incompressible flow around cylinder inside rectangular channel. Our DG formulation is endowed with a recently introduced outflow boundary condition (BC) treatment (Dong et al. (2014); Braack and Mucha (2014)) that allows to use reduced size computational domains; as oposed to classical long size domains practices. In the current literature there are applications of this new BC to various incompressible test-flow examples in a Spectral and Finite Elements contexts. And the a major result achieved by them was this new outflow boundary’s approach allow us significantly reduce computational domain size without important erroes are setting up. Accordingly, due to its alredy known capabilities and stablished mathematical basis, it is natural issue to ask about the DG behaviour over this all-useful achievment. In this work the DG method performance, equipped with this new boundary condition, is tested. In this case drag and lift cofficients are computed, so the admensional Strouhal number. Conclusions are traced to show the readness of DG to embody this new boundary condition technique.
Keywords
High-order Method, Incompressible Navier-Stokes Equations, Discontinuous Galerkin Method, Outflow Boundary Condition

