publication . Report . 2016

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

Shahriari, Nima; Hanifi, Ardeshir; Henningson, Dan S.;
Open Access English
  • Published: 01 Jan 2016
  • Publisher: KTH, Stabilitet, Transition, Kontroll
  • Country: Sweden
Abstract
Acoustic receptivity of a two-dimensional boundary layer on a flat plate with elliptic leading edge is studied through direct numerical simulation (DNS). Sound waves are modelled by a uniform oscillation of freestream boundaries in time which results to an infinite-wavelength acoustic wave. Acoustic disturbances interact with strong streamwise gradients at the leading edge or surface non- homogeneities and create Tollmien-Schlichting (TS) waves inside the boundary layer. Measuring amplitude of TS waves created by sound waves is challenging due to presence of Stokes wave (acoustic boundary layer) with the same temporal frequency of TS waves. In this study biortho...
Subjects
arXiv: Physics::Fluid Dynamics
Funded by
EC| RODTRAC
Project
RODTRAC
Robustness of distributed micron-sized roughness-element for transition control
  • Funder: European Commission (EC)
  • Project Code: 296507
  • Funding stream: FP7 | SP1 | SP1-JTI
Download from
27 references, page 1 of 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 .

27 references, page 1 of 2
Related research
Abstract
Acoustic receptivity of a two-dimensional boundary layer on a flat plate with elliptic leading edge is studied through direct numerical simulation (DNS). Sound waves are modelled by a uniform oscillation of freestream boundaries in time which results to an infinite-wavelength acoustic wave. Acoustic disturbances interact with strong streamwise gradients at the leading edge or surface non- homogeneities and create Tollmien-Schlichting (TS) waves inside the boundary layer. Measuring amplitude of TS waves created by sound waves is challenging due to presence of Stokes wave (acoustic boundary layer) with the same temporal frequency of TS waves. In this study biortho...
Subjects
arXiv: Physics::Fluid Dynamics
Funded by
EC| RODTRAC
Project
RODTRAC
Robustness of distributed micron-sized roughness-element for transition control
  • Funder: European Commission (EC)
  • Project Code: 296507
  • Funding stream: FP7 | SP1 | SP1-JTI
Download from
27 references, page 1 of 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 .

27 references, page 1 of 2
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