The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows
Author(s)Yano, Masayuki; Modisette, James; Darmofal, David L.
MetadataShow full item record
This work presents an adaptive framework for a higher-order discretization of the Reynolds-averaged Navier-Stokes (RANS) equations. The adaptation strategy is based on an output-based error estimate and explicit control of the degrees of freedom. Adaptation iterates toward the generation of simplex meshes that equidistribute local errors throughout the domain and provide anisotropic resolution in arbitrary orientations. Numerical experiments reveal that uniform refinement limits the performance of higher-order methods when applied to aerodynamic flows with low regularity. However, when combined with anisotropic refinement of singular features, higher-order methods can significantly improve computational affordability of RANS simulations in the engineering environment. The benefit of the higher spatial accuracy is exhibited for a wide range of applications including subsonic, transonic, and supersonic flows. The higher-order simplex meshes are generated using the elasticity and the cut-cell techniques, and the competitiveness of the cut-cell method is demonstrated in terms of accuracy per degree of freedom.
DepartmentMassachusetts Institute of Technology. Aerospace Computational Design Laboratory; Massachusetts Institute of Technology. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology. Department of Mechanical Engineering
Proceedings of the 20th AIAA Computational Fluid Dynamics Conference
American Institute of Aeronautics and Astronautics
Yano, Masayuki, James Modisette, and David Darmofal. “The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows.” 20th AIAA Computational Fluid Dynamics Conference (June 27, 2011).
Author's final manuscript