Eventos Anais de eventos
ENCIT 2022
19th Brazilian Congress of Thermal Sciences and Engineering
Accuracy Analysis of Gradient Reconstruction Techniques for the Discrete Solution of the Gas Dynamics Equations
Submission Author:
Frederico Bolsoni Oliveira , SP
Co-Authors:
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
Presenter: Frederico Bolsoni Oliveira
doi://10.26678/ABCM.ENCIT2022.CIT22-0088
Abstract
Three different gradient reconstruction techniques are analyzed in the context of a cell-centered, finite volume formulation for the discrete solution of the gas dynamics equations. Attention is given to the usage of quadrilateral meshes. The quality of the results is assessed by considering two different test cases. The first one is the two-dimensional, zero pressure gradient, flat plate. It is used to identify possible differences between each scheme when facing a geometrically simple problem. The second one is the transonic OAT15A airfoil, used to display the general behavior of each scheme when a shock wave is present in the solution domain. All cases are simulated using a code developed in-house, in which Roe's second-order, TVD, numerical flux is employed in the discretization of the inviscid flux vectors. Viscous flux vectors are discretized by applying a standard centered scheme. Turbulence effects are taken into account by making use of the negative Spalart-Allmaras turbulence model. Further comparisons are made with experimental and numerical data available in the literature. No meaningful difference is observed between each discretization scheme, at least for the cases considered here, and excellent agreement is obtained between the computed solutions and the expected results.
Keywords
Finite Volume, Gradient Reconstruction, Negative Spalart-Allmaras Model, Flat Plate, OAT15A Airfoil
