The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows
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...
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American Institute of Aeronautics and Astronautics
2015
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Online Access: | http://hdl.handle.net/1721.1/96929 https://orcid.org/0000-0002-8323-9054 |
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author | Yano, Masayuki Modisette, James Darmofal, David L. |
author2 | Massachusetts Institute of Technology. Aerospace Computational Design Laboratory |
author_facet | Massachusetts Institute of Technology. Aerospace Computational Design Laboratory Yano, Masayuki Modisette, James Darmofal, David L. |
author_sort | Yano, Masayuki |
collection | MIT |
description | 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. |
first_indexed | 2024-09-23T15:02:01Z |
format | Article |
id | mit-1721.1/96929 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:02:01Z |
publishDate | 2015 |
publisher | American Institute of Aeronautics and Astronautics |
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spelling | mit-1721.1/969292022-10-02T00:07:22Z The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows Yano, Masayuki Modisette, James Darmofal, David L. Massachusetts Institute of Technology. Aerospace Computational Design Laboratory Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Department of Mechanical Engineering Yano, Masayuki Modisette, James Darmofal, David L. 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. Boeing Company 2015-05-07T15:20:03Z 2015-05-07T15:20:03Z 2011-06 Article http://purl.org/eprint/type/ConferencePaper 978-1-62410-148-9 http://hdl.handle.net/1721.1/96929 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). https://orcid.org/0000-0002-8323-9054 en_US http://dx.doi.org/10.2514/6.2011-3852 Proceedings of the 20th AIAA Computational Fluid Dynamics Conference Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Institute of Aeronautics and Astronautics MIT web domain |
spellingShingle | Yano, Masayuki Modisette, James Darmofal, David L. The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title | The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title_full | The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title_fullStr | The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title_full_unstemmed | The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title_short | The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows |
title_sort | importance of mesh adaptation for higher order discretizations of aerodynamic flows |
url | http://hdl.handle.net/1721.1/96929 https://orcid.org/0000-0002-8323-9054 |
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