DEKAF: Spectral multi-regime basic-state solver for boundary-layer stability

Koen J. Groot, Fernando Miró Miró, Ethan S. Beyak, Alexander J. Moyes, Fabio Pinna, Helen L. Reed

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

17 Citations (Scopus)
136 Downloads (Pure)


As the community investigates more complex flows with stronger streamwise variations and uses more physically inclusive stability techniques, such as BiGlobal theory, there is a perceived need for more accuracy in the base flows. To this end, the implication is that using these more advanced techniques, we are now including previously neglected terms of O(Re2). Two corresponding questions follow: (1) how much accuracy can one reasonably achieve from a given set of basic-state equations and (2) how much accuracy does one need to converge more advanced stability techniques? The purpose of this paper is to generate base flow solutions to successively higher levels of accuracy and assess how inaccuracies ultimately affect the stability results. Basic states are obtained from solving the self-similar boundary-layer equations, and stability analyses with LST, which both share O(1/Re) accuracy. This is the first step toward tackling the same problem for more complex basic states and more advanced stability theories. Detailed convergence analyses are performed, allowing to conclude on how numerical inaccuracies from the basic state ultimately propagate into the stability results for different numerical schemes and instability mechanisms at different Mach numbers.

Original languageEnglish
Title of host publication2018 Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages26
ISBN (Electronic)9781624105531
Publication statusPublished - 2018
Event48th AIAA Fluid Dynamics Conference, 2018 - Atlanta, United States
Duration: 25 Jun 201829 Jun 2018


Conference48th AIAA Fluid Dynamics Conference, 2018
Country/TerritoryUnited States

Bibliographical note

Correction Notice
 The reference corresponding to the quote on page 18 should point to Theofilis 12 (Advances in Global
Linear Instability Analysis of Nonparallel and Three-Dimensional Flows in Progress in Aerospace
Sciences, Vol. 39, No. 4, 2003, pp. 249-315) instead of Theofilis40
 In appendix A, the third outlined step should involve subtracting a column of ones from the last column of
the matrix instead of a row of ones from the last row. Equation (23), the accompanying text and figure 8 are
affected by this.


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