A Caltech Library Service

Input/Output Analysis of Hypersonic Boundary Layers using the One-Way Navier-Stokes (OWNS) Equations

Kamal, Omar and Rigas, Georgios and Lakebrink, Matthew and Colonius, Tim (2021) Input/Output Analysis of Hypersonic Boundary Layers using the One-Way Navier-Stokes (OWNS) Equations. In: AIAA Aviation 2021 Forum. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2021-2827. ISBN 978-1-62410-610-1.

[img] PDF - Accepted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Accurate prediction of linear amplification of disturbances in hypersonic boundary layers is computationally challenging. While direct numerical simulations and global analysis can be used to compute optimal (worst-case) forced responses, their large computational expense render these tools less practical for large design parameter spaces. At the same time, parabolized stability equations can be unreliable for problems involving multi-modal and non-modal interactions. To bridge this gap, we apply an approximate fast marching technique, the One-Way Navier-Stokes (OWNS) Equations, in iterative fashion to solve for optimal disturbances. OWNS approximates a rigorous parabolization of the equations of motion by removing disturbances with upstream group velocity using a higher-order recursive filter. Using OWNS, we aim to characterize disturbances of flat-plate and complex-geometry hypersonic boundary layers over a range of Mach numbers, and find optimal disturbances under different cost functions that define corresponding receptivity problems. The calculation of optimal disturbances reveals multi-modal transition scenarios depending on the spatial support, frequency, and physical nature of the external disturbances.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Ppresentation
Rigas, Georgios0000-0001-6692-6437
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2021 by Omar Kamal, Georgios Rigas, Matthew T. Lakebrink, and 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, and more recently through the Office of Naval Research via grant N00014-21-1-2158. We also acknowledge support of the Natural Sciences and Engineering Research Council of Canada via the Postgraduate Doctoral Scholarship (PGSD3-532522-2019).
Funding AgencyGrant Number
Boeing Company Strategic Research and Development RelationshipCT-BA-GTA-1
Office of Naval Research (ONR)N00014-21-1-2158
Natural Sciences and Engineering Research Council of Canada (NSERC)PGSD3-532522-2019
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AIAA Paper2021-2827
Record Number:CaltechAUTHORS:20211008-210434815
Persistent URL:
Official Citation:Omar Kamal, Georgios Rigas, Matthew Lakebrink and Tim Colonius. "Input/Output Analysis of Hypersonic Boundary Layers using the One-Way Navier-Stokes (OWNS) Equations," AIAA 2021-2827. AIAA AVIATION 2021 FORUM. August 2021.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111302
Deposited By: George Porter
Deposited On:08 Oct 2021 21:22
Last Modified:08 Oct 2021 21:22

Repository Staff Only: item control page