A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition

© 2019, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. The integral boundary layer (IBL) method with viscous-inviscid coupling is an effective tool for rapid aerodynamic design and analysis. However, existing IBL methods remain to be extended to general three-dime...

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Main Authors: Zhang, Shun, Drela, Mark, Galbraith, Marshall C., Allmaras, Steven R., Darmofal, David L.
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:English
Published: American Institute of Aeronautics and Astronautics (AIAA) 2021
Online Access:https://hdl.handle.net/1721.1/137924
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author Zhang, Shun
Drela, Mark
Galbraith, Marshall C.
Allmaras, Steven R.
Darmofal, David L.
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Zhang, Shun
Drela, Mark
Galbraith, Marshall C.
Allmaras, Steven R.
Darmofal, David L.
author_sort Zhang, Shun
collection MIT
description © 2019, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. The integral boundary layer (IBL) method with viscous-inviscid coupling is an effective tool for rapid aerodynamic design and analysis. However, existing IBL methods remain to be extended to general three-dimensional (3D) configurations. To this end, previous work proposed an IBL formulation using the discontinuous Galerkin (DG) finite element method (FEM) with strong viscous-inviscid coupling, which is non-parametric in the sense that the aerodynamic shape is does not have to be explicitly parametrized by curvilinear coordinates. The current work builds on that strongly-coupled non-parametric IBL formulation, and further develops numerical discretization methods to enable flow transition modeling. Both a cut-cell-based fitted transition approach and a simple captured transition approach are presented and compared. In solving the nonlinear system of equations arising from free-transition problems, a strongly-coupled global Newton solver is adopted and augmented for solution robustness. Numerical results demonstrate favorable accuracy and robustness of the cut-cell fitted transition method compared to the captured transition methods. On the other hand, the captured transition approach allows for a more straightforward numerical implementation, but requires further improvement to achieve comparable reliability for aerodynamic analysis with free transition.
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spelling mit-1721.1/1379242023-03-29T19:59:24Z A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition Zhang, Shun Drela, Mark Galbraith, Marshall C. Allmaras, Steven R. Darmofal, David L. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics © 2019, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. The integral boundary layer (IBL) method with viscous-inviscid coupling is an effective tool for rapid aerodynamic design and analysis. However, existing IBL methods remain to be extended to general three-dimensional (3D) configurations. To this end, previous work proposed an IBL formulation using the discontinuous Galerkin (DG) finite element method (FEM) with strong viscous-inviscid coupling, which is non-parametric in the sense that the aerodynamic shape is does not have to be explicitly parametrized by curvilinear coordinates. The current work builds on that strongly-coupled non-parametric IBL formulation, and further develops numerical discretization methods to enable flow transition modeling. Both a cut-cell-based fitted transition approach and a simple captured transition approach are presented and compared. In solving the nonlinear system of equations arising from free-transition problems, a strongly-coupled global Newton solver is adopted and augmented for solution robustness. Numerical results demonstrate favorable accuracy and robustness of the cut-cell fitted transition method compared to the captured transition methods. On the other hand, the captured transition approach allows for a more straightforward numerical implementation, but requires further improvement to achieve comparable reliability for aerodynamic analysis with free transition. 2021-11-09T15:34:53Z 2021-11-09T15:34:53Z 2019-01 2019-10-24T18:32:23Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/137924 Zhang, Shun, Drela, Mark, Galbraith, Marshall C., Allmaras, Steven R. and Darmofal, David L. 2019. "A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition." en 10.2514/6.2019-1154 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Institute of Aeronautics and Astronautics (AIAA) Other repository
spellingShingle Zhang, Shun
Drela, Mark
Galbraith, Marshall C.
Allmaras, Steven R.
Darmofal, David L.
A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title_full A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title_fullStr A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title_full_unstemmed A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title_short A Strongly-coupled Non-parametric Integral Boundary Layer Method for Aerodynamic Analysis with Free Transition
title_sort strongly coupled non parametric integral boundary layer method for aerodynamic analysis with free transition
url https://hdl.handle.net/1721.1/137924
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