# Application of biorthogonal eigenfunction system for extraction of Tollmien-Schlichting waves in acoustic receptivity simulations

- Published: 01 Jan 2016
- Publisher: KTH, Stabilitet, Transition, Kontroll
- Country: Sweden

- Funder: European Commission (EC)
- Project Code: 296507
- Funding stream: FP7 | SP1 | SP1-JTI

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Casalis, G., Gouttenoire, C. & Troff, B. 1997 DNS investigation of leading edge and localized receptivity. O ce National D Etudes Et De Recherches Aerospatiales Onera-Publications-TP .

Fischer, P. F., Lottes, J. W. & Kerkemeier, S. G. 2008 Nek5000 Web page. http://nek5000.mcs.anl.gov.

Fuciarelli, D., Reed, H. & Lyttle, I. 2000 Direct numerical simulation of leadingedge receptivity to sound. AIAA Journal 38 (7), 1159-1165. [OpenAIRE]

Goldstein, M. 1983 The evolution of Tollmien-Sclichting waves near a leading edge. J. Fluid Mech. 127, 59-81.

Goldstein, M. & Hultgren, L. 1989 Boundary-layer receptivity to long-wave free-stream disturbances. Ann. Rev. Fluid Mech. 21 (1), 137-166.

Haddad, O. M. & Corke, T. C. 1998 Boundary layer receptivity to free-stream sound on parabolic bodies. J. Fluid Mech. 368, 1-26. [OpenAIRE]

Lin, N., Reed, H. & Saric, W. 1992 E↵ ect of leading-edge geometry on boundarylayer receptivity to freestream sound. In Instability, Transition and Turbulence, pp. 421-440. Springer.

Maday, Y. & Patera, A. T. 1989 Spectral element methods for the incompressible Navier-Stokes equations. In State of the art surveys on computational mechanics. New York, ASME , , vol. 1, pp. 71-143.

Monschke, J. A., Kuester, M. S. & White, E. B. 2016 Acoustic receptivity measurements using modal decomposition of a modified Orr-Sommerfeld equation. AIAA J. 54 (3), 805-815.

Morkovin, M. V. 1969 On the many faces of transition. In Viscous drag reduction, pp. 1-31. Springer.

Murdock, J. 1980 The generation of a Tollmien-Schlichting wave by a sound wave. Proc. Roy. Soc. Lond. A 372 (1751), 517-534.

Nishioka, M. & Morkovin, M. 1986 Boundary-layer receptivity to unsteady pressure gradients: experiments and overview. J. Fluid Mech. 171, 219-261.

Patera, A. 1984 A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. comp. Phys. 54 (3), 468-488. [OpenAIRE]

Piot, E., Casalis, G. & Terracol, M. 2007 Direct numerical simulation of the crossflow instabilities induced by a periodic roughness array on a swept cylinder: receptivity and stability investigations. AIAA Paper 2007-3976 . [OpenAIRE]

Sakov, P. 2011 gridgen-c: an orthogonal grid generator based on the CRDT algorithm (by conformal mapping). https://github.com/sakov/gridgen-c .

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##### Related research

- Funder: European Commission (EC)
- Project Code: 296507
- Funding stream: FP7 | SP1 | SP1-JTI

- 1
- 2

Casalis, G., Gouttenoire, C. & Troff, B. 1997 DNS investigation of leading edge and localized receptivity. O ce National D Etudes Et De Recherches Aerospatiales Onera-Publications-TP .

Fischer, P. F., Lottes, J. W. & Kerkemeier, S. G. 2008 Nek5000 Web page. http://nek5000.mcs.anl.gov.

Fuciarelli, D., Reed, H. & Lyttle, I. 2000 Direct numerical simulation of leadingedge receptivity to sound. AIAA Journal 38 (7), 1159-1165. [OpenAIRE]

Goldstein, M. 1983 The evolution of Tollmien-Sclichting waves near a leading edge. J. Fluid Mech. 127, 59-81.

Goldstein, M. & Hultgren, L. 1989 Boundary-layer receptivity to long-wave free-stream disturbances. Ann. Rev. Fluid Mech. 21 (1), 137-166.

Haddad, O. M. & Corke, T. C. 1998 Boundary layer receptivity to free-stream sound on parabolic bodies. J. Fluid Mech. 368, 1-26. [OpenAIRE]

Lin, N., Reed, H. & Saric, W. 1992 E↵ ect of leading-edge geometry on boundarylayer receptivity to freestream sound. In Instability, Transition and Turbulence, pp. 421-440. Springer.

Maday, Y. & Patera, A. T. 1989 Spectral element methods for the incompressible Navier-Stokes equations. In State of the art surveys on computational mechanics. New York, ASME , , vol. 1, pp. 71-143.

Monschke, J. A., Kuester, M. S. & White, E. B. 2016 Acoustic receptivity measurements using modal decomposition of a modified Orr-Sommerfeld equation. AIAA J. 54 (3), 805-815.

Morkovin, M. V. 1969 On the many faces of transition. In Viscous drag reduction, pp. 1-31. Springer.

Murdock, J. 1980 The generation of a Tollmien-Schlichting wave by a sound wave. Proc. Roy. Soc. Lond. A 372 (1751), 517-534.

Nishioka, M. & Morkovin, M. 1986 Boundary-layer receptivity to unsteady pressure gradients: experiments and overview. J. Fluid Mech. 171, 219-261.

Patera, A. 1984 A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. comp. Phys. 54 (3), 468-488. [OpenAIRE]

Piot, E., Casalis, G. & Terracol, M. 2007 Direct numerical simulation of the crossflow instabilities induced by a periodic roughness array on a swept cylinder: receptivity and stability investigations. AIAA Paper 2007-3976 . [OpenAIRE]

Sakov, P. 2011 gridgen-c: an orthogonal grid generator based on the CRDT algorithm (by conformal mapping). https://github.com/sakov/gridgen-c .

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