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Application of the One-Way Navier-Stokes (OWNS) Equations to Hypersonic Boundary Layers

Kamal, Omar and Rigas, Georgios and Lakebrink, Matthew T. and Colonius, Tim (2020) Application of the One-Way Navier-Stokes (OWNS) Equations to Hypersonic Boundary Layers. In: AIAA AVIATION 2020 FORUM. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2020-2986. ISBN 978-1-62410-598-2.

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Prediction of linear amplification of disturbances in hypersonic boundary layers is challenging due to the presence and interactions of discrete modes (e.g. Tollmien-Schlichting and Mack) and continuous modes (entropic, vortical, and acoustic). While DNS and global analysis can be used, the large grids required make the computation of optimal transient and forced responses expensive, particularly when a large parameter space is required. At the same time, parabolized stability equations are non-convergent and unreliable for problems involving multi-modal and non-modal interactions. In this work, we apply the One-Way Navier-Stokes (OWNS) equations to hypersonic boundary layers. OWNS is based on a rigorous, approximate parabolization of the equations of motion that removes disturbances with upstream group velocity using a high-order recursive filter. We extend the original algorithm by considering non-orthogonal body-fitted curvilinear coordinates and incorporate full compressibility with temperature-dependent fluid properties. We validate the results by comparing to DNS data for a flat plate and sharp cone, and to LST results for local disturbances on the centerline of the HIFiRE-5 elliptic cone. OWNS provides DNS-quality results for the former flows at a small fraction of the computational expense.

Item Type:Book Section
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URLURL TypeDescription
Rigas, Georgios0000-0001-6692-6437
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2020 by Omar Kamal, Georgios Rigas, Matthew T. Lakebrink, Tim Colonius. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. This work has been supported by The Boeing Company through the Strategic Research and Development Relationship Agreement CT-BA-GTA-1. We also acknowledge support of the Natural Sciences and Engineering Research Council of Canada via the Postgraduate Doctoral Scholarship (PGSD3-532522-2019).
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Boeing Company Strategic Research and Development RelationshipCT-BA-GTA-1
Natural Sciences and Engineering Research Council of Canada (NSERC)PGSD3-532522-2019
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AIAA Paper2020-2986
Record Number:CaltechAUTHORS:20211008-210432471
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Official Citation:Omar Kamal, Georgios Rigas, Matthew T. Lakebrink and Tim Colonius. "Application of the One-Way Navier-Stokes (OWNS) Equations to Hypersonic Boundary Layers," AIAA 2020-2986. AIAA AVIATION 2020 FORUM. June 2020.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111298
Deposited By: George Porter
Deposited On:08 Oct 2021 22:44
Last Modified:08 Oct 2021 22:44

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