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

doi:10.2514/6.2018-3380

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

Aerodynamics

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

18 Citations (Scopus)

240 Downloads (Pure)

Abstract

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 language	English
Title of host publication	2018 Fluid Dynamics Conference
Publisher	American Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages	26
ISBN (Electronic)	9781624105531
DOIs	https://doi.org/10.2514/6.2018-3380
Publication status	Published - 2018
Event	48th AIAA Fluid Dynamics Conference, 2018 - Atlanta, United States Duration: 25 Jun 2018 → 29 Jun 2018

Conference

Conference	48th AIAA Fluid Dynamics Conference, 2018
Country/Territory	United States
City	Atlanta
Period	25/06/18 → 29/06/18

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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GMMBMPH-DEKAFAccepted author manuscript, 1.01 MB

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@inproceedings{b71fb4433ee547fd851b0b5ced96936c,

title = "DEKAF: Spectral multi-regime basic-state solver for boundary-layer stability",

abstract = "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.",

author = "Groot, {Koen J.} and {Mir{\'o} Mir{\'o}}, Fernando and Beyak, {Ethan S.} and Moyes, {Alexander J.} and Fabio Pinna and Reed, {Helen L.}",

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. ; 48th AIAA Fluid Dynamics Conference, 2018 ; Conference date: 25-06-2018 Through 29-06-2018",

year = "2018",

doi = "10.2514/6.2018-3380",

language = "English",

booktitle = "2018 Fluid Dynamics Conference",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

address = "United States",

}

Groot, KJ, Miró Miró, F, Beyak, ES, Moyes, AJ, Pinna, F & Reed, HL 2018, DEKAF: Spectral multi-regime basic-state solver for boundary-layer stability. in 2018 Fluid Dynamics Conference., AIAA 2018-3380, American Institute of Aeronautics and Astronautics Inc. (AIAA), 48th AIAA Fluid Dynamics Conference, 2018, Atlanta, United States, 25/06/18. https://doi.org/10.2514/6.2018-3380

DEKAF: Spectral multi-regime basic-state solver for boundary-layer stability. / Groot, Koen J.; Miró Miró, Fernando; Beyak, Ethan S. et al.
2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc. (AIAA), 2018. AIAA 2018-3380.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AU - Pinna, Fabio

AU - Reed, Helen L.

N1 - 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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N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:85051299464

BT - 2018 Fluid Dynamics Conference

PB - American Institute of Aeronautics and Astronautics Inc. (AIAA)

Y2 - 25 June 2018 through 29 June 2018

ER -

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

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