The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows
We present a high-order Implicit Large-Eddy Simulation (ILES) approach for transitional aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier–Stokes (NS) equations, and a parallel preconditioned Newton-GMRES solver for the re...
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| Format: | Article |
| Language: | en_US |
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Elsevier BV
2020
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| Online Access: | https://hdl.handle.net/1721.1/123994 |
| _version_ | 1826210656322322432 |
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| author | Fernandez del Campo, Pablo Nguyen, Ngoc Cuong Peraire, Jaime |
| 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 Nguyen, Ngoc Cuong Peraire, Jaime |
| author_sort | Fernandez del Campo, Pablo |
| collection | MIT |
| description | We present a high-order Implicit Large-Eddy Simulation (ILES) approach for transitional aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier–Stokes (NS) equations, and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG methods with an efficient solution procedure leads to a high-order accurate NS solver that is competitive to alternative approaches, such as finite volume and finite difference codes, in terms of computational cost. The proposed approach is applied to transitional flows over the NACA 65-(18)10 compressor cascade and the Eppler 387 wing at Reynolds numbers up to 460,000. Grid convergence studies are presented and the required resolution to capture transition at different Reynolds numbers is investigated. Numerical results show rapid convergence and excellent agreement with experimental data. In short, this work aims to demonstrate the potential of high-order ILES for simulating transitional aerodynamic flows. This is illustrated through numerical results and supported by theoretical considerations. Keyword: Discontinuous Galerkin methods; Implicit Large-Eddy Simulation; Navier–Stokes iterative solvers; High-order methods; Laminar separation bubble; Transition to turbulence |
| first_indexed | 2024-09-23T14:53:24Z |
| format | Article |
| id | mit-1721.1/123994 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:53:24Z |
| publishDate | 2020 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1239942022-10-01T23:12:30Z The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows Fernandez del Campo, Pablo Nguyen, Ngoc Cuong Peraire, Jaime Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Center for Computational Engineering Pablo Fernandez We present a high-order Implicit Large-Eddy Simulation (ILES) approach for transitional aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier–Stokes (NS) equations, and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG methods with an efficient solution procedure leads to a high-order accurate NS solver that is competitive to alternative approaches, such as finite volume and finite difference codes, in terms of computational cost. The proposed approach is applied to transitional flows over the NACA 65-(18)10 compressor cascade and the Eppler 387 wing at Reynolds numbers up to 460,000. Grid convergence studies are presented and the required resolution to capture transition at different Reynolds numbers is investigated. Numerical results show rapid convergence and excellent agreement with experimental data. In short, this work aims to demonstrate the potential of high-order ILES for simulating transitional aerodynamic flows. This is illustrated through numerical results and supported by theoretical considerations. Keyword: Discontinuous Galerkin methods; Implicit Large-Eddy Simulation; Navier–Stokes iterative solvers; High-order methods; Laminar separation bubble; Transition to turbulence United States. Air Force. Office of Scientific Research (FA9550-16-1-0214) Pratt & Whitney Aircraft Company 2020-03-03T20:12:53Z 2020-03-03T20:12:53Z 2017-02 2016-12 Article http://purl.org/eprint/type/JournalArticle 0021-9991 https://hdl.handle.net/1721.1/123994 Fernandez, P., N.C. Nguyen, and J. Peraire. "The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows." Journal of Computational Physics, 336 (May 2017): 308-329. en_US https://doi.org/10.1016/j.jcp.2017.02.015 Journal of Computational Physics Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV Pablo Fernandez |
| spellingShingle | Fernandez del Campo, Pablo Nguyen, Ngoc Cuong Peraire, Jaime The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title | The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title_full | The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title_fullStr | The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title_full_unstemmed | The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title_short | The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows |
| title_sort | hybridized discontinuous galerkin method for implicit large eddy simulation of transitional turbulent flows |
| url | https://hdl.handle.net/1721.1/123994 |
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