DEKAF

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

Groot, K.J. (TU Delft Aerodynamics)
Miró Miró, Fernando (von Karman Institute for Fluid Dynamics)
Beyak, Ethan S. (Texas A and M University)
Moyes, Alexander J. (Texas A and M University)
Pinna, Fabio (von Karman Institute for Fluid Dynamics)
Reed, Helen L. (Texas A and M University)

2018

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.

http://resolver.tudelft.nl/uuid:b71fb443-3ee5-47fd-851b-0b5ced96936c

https://doi.org/10.2514/6.2018-3380

American Institute of Aeronautics and Astronautics Inc. (AIAA)

2019-08-01

9781624105531

2018 Fluid Dynamics Conference

48th AIAA Fluid Dynamics Conference, 2018, 2018-06-25 → 2018-06-29, Atlanta, United States

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.

Institutional Repository

conference paper

© 2018 K.J. Groot, Fernando Miró Miró, Ethan S. Beyak, Alexander J. Moyes, Fabio Pinna, Helen L. Reed