Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints
We present an investigation of the Lyapunov spectrum of the chaotic, separated flow around the NACA 0012 airfoil at Reynolds number 2,400. The impact of the numerical discretization on the spectrum is investigated through time and space refinement studies. Numerical results show that the time discre...
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| Format: | Article |
| Language: | en_US |
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American Institute of Aeronautics and Astronautics (AIAA)
2018
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| Online Access: | http://hdl.handle.net/1721.1/115070 https://orcid.org/0000-0002-6291-4946 https://orcid.org/0000-0001-9669-2563 |
| _version_ | 1826205472566280192 |
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| author | Fernandez del Campo, Pablo Wang, Qiqi |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Fernandez del Campo, Pablo Wang, Qiqi |
| author_sort | Fernandez del Campo, Pablo |
| collection | MIT |
| description | We present an investigation of the Lyapunov spectrum of the chaotic, separated flow around the NACA 0012 airfoil at Reynolds number 2,400. The impact of the numerical discretization on the spectrum is investigated through time and space refinement studies. Numerical results show that the time discretization has a small impact on the Lyapunov exponents, whereas the spatial discretization can dramatically change them. In particular, the asymptotic Lyapunov spectrum for this wall-bounded flow is achieved with global CFL numbers as large as O(10¹−10²), whereas the system continues to become more and more chaotic as the mesh is refined even for meshes that are much finer than the best practice for this type of flows. Based on these results, we conclude the paper with a discussion on the feasibility of adjoint-based sensitivity analysis for chaotic flows. |
| first_indexed | 2024-09-23T13:13:23Z |
| format | Article |
| id | mit-1721.1/115070 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:13:23Z |
| publishDate | 2018 |
| publisher | American Institute of Aeronautics and Astronautics (AIAA) |
| record_format | dspace |
| spelling | mit-1721.1/1150702022-09-28T12:48:06Z Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints Fernandez del Campo, Pablo Wang, Qiqi Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Fernandez del Campo, Pablo Fernandez del Campo, Pablo Wang, Qiqi We present an investigation of the Lyapunov spectrum of the chaotic, separated flow around the NACA 0012 airfoil at Reynolds number 2,400. The impact of the numerical discretization on the spectrum is investigated through time and space refinement studies. Numerical results show that the time discretization has a small impact on the Lyapunov exponents, whereas the spatial discretization can dramatically change them. In particular, the asymptotic Lyapunov spectrum for this wall-bounded flow is achieved with global CFL numbers as large as O(10¹−10²), whereas the system continues to become more and more chaotic as the mesh is refined even for meshes that are much finer than the best practice for this type of flows. Based on these results, we conclude the paper with a discussion on the feasibility of adjoint-based sensitivity analysis for chaotic flows. United States. Air Force. Office of Scientific Research (Award FA9550-15-1-0072) Stanford University (CTR Summer Program 2016) 2018-04-27T21:11:07Z 2018-04-27T21:11:07Z 2017-06 Article http://purl.org/eprint/type/ConferencePaper 978-1-62410-506-7 http://hdl.handle.net/1721.1/115070 Fernandez, Pablo, and Qiqi Wang. “Lyapunov Spectrum of Scale-Resolving Turbulent Simulations. Application to Chaotic Adjoints.” 23rd AIAA Computational Fluid Dynamics Conference (June 2, 2017), Denver, Colorado, 2017. https://orcid.org/0000-0002-6291-4946 https://orcid.org/0000-0001-9669-2563 en_US https://doi.org/10.2514/6.2017-3797 23rd 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 (AIAA) Fernandez |
| spellingShingle | Fernandez del Campo, Pablo Wang, Qiqi Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title | Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title_full | Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title_fullStr | Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title_full_unstemmed | Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title_short | Lyapunov spectrum of scale-resolving turbulent simulations. Application to chaotic adjoints |
| title_sort | lyapunov spectrum of scale resolving turbulent simulations application to chaotic adjoints |
| url | http://hdl.handle.net/1721.1/115070 https://orcid.org/0000-0002-6291-4946 https://orcid.org/0000-0001-9669-2563 |
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