Matrix methods for input-output analysis of 2d and 3d hypersonic flows

David A. Cook, Anthony L. Knutson, Joseph W. Nichols, Graham V. Candler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations


Input-output analysis has recently been used successfully to predict the non-modal behavior of small, linear disturbances that can cause laminar to turbulent transition in hypersonic boundary layers. Because input-output analysis does not invoke simplifying assumptions about the spatial growth of the boundary layer, it seamlessly captures the effects of non-modal growth which the linear and parabolized stability theory do not, in particular, it captures the effects of spatial transient growth. Because global analysis requires the solution to large, sparse linear systems which are non-normal and poorly conditioned, a survey of Kyrlov subspace methods is performed, and the usefulness of the GMRES and TFQMR algorithms are also investigated in more detail. For application to 3D flows, a segmented mesh method is then proposed for input-output analysis, and preliminary input-output results are shown for a cone with a highly swept fin at Mach 6.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2020 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105951
StatePublished - 2020
EventAIAA Scitech Forum, 2020 - Orlando, United States
Duration: Jan 6 2020Jan 10 2020

Publication series

NameAIAA Scitech 2020 Forum
Volume1 PartF


ConferenceAIAA Scitech Forum, 2020
Country/TerritoryUnited States

Bibliographical note

Funding Information:
DAC and JWN gratefully acknowledge support for this research from ONR grant number N00014-17-1-2496.

Publisher Copyright:
© 2020, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.


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