Solutions of high-order methods for three-dimensional compressible viscous flows

Li Wang, W. Kyle Anderson, J. Taylor Erwin, Sagar Kapadia

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Scopus citations

Abstract

In this paper high-order finite-element discretizations consisting of discontinuous Galerkin (DG) and streamline/ upwind Petrov-Galerkin (SUPG) methods are investigated and developed for solutions of two- and threedimensional compressible viscous flows. Both approaches treat the discretized system fully implicitly to obtain steady state solutions or to drive unsteady problems at each time step. The modified Spalart and Allmaras (SA) turbulence model is implemented and is discretized to an order of accuracy consistent with the main Reynolds Averaged Navier-Stokes (RANS) equations using the present high-order finite-element methods. To accurately represent the real geometries for viscous flows, high-order curved boundary meshes are generated via a CAPRI interface, while the interior meshes are deformed subsequently through a linear elasticity solver. The mesh movement procedure effectively prevents the generation of collapsed elements that can occur due to the projection of curved physical boundaries and thus allows high-aspect-ratio curved elements in viscous boundary layers. Several numerical examples, including large-eddy simulations of viscous flow over a threedimensional circular cylinder and turbulent flows over a NACA 4412 airfoil and a high-lift multi-element airfoil at high angles of attack, are considered to show the capability of the present high-order finite-element solvers in capturing typical viscous effects such as flow separation and to compare the accuracy between high-order DG and SUPG discretization methods.

Original languageEnglish
Title of host publication42nd AIAA Fluid Dynamics Conference and Exhibit 2012
StatePublished - 2012
Externally publishedYes
Event42nd AIAA Fluid Dynamics Conference and Exhibit 2012 - New Orleans, LA, United States
Duration: Jun 25 2012Jun 28 2012

Publication series

Name42nd AIAA Fluid Dynamics Conference and Exhibit 2012

Conference

Conference42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Country/TerritoryUnited States
CityNew Orleans, LA
Period06/25/1206/28/12

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