TY - GEN
T1 - Solutions of high-order methods for three-dimensional compressible viscous flows
AU - Wang, Li
AU - Kyle Anderson, W.
AU - Taylor Erwin, J.
AU - Kapadia, Sagar
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84881248258&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84881248258
SN - 9781600869334
T3 - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012
BT - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012
T2 - 42nd AIAA Fluid Dynamics Conference and Exhibit 2012
Y2 - 25 June 2012 through 28 June 2012
ER -