Biorthogonal eigenfunction system for supersonic inviscid flow past a flat plate

作者: Carlos Chiquete , Anatoli Tumin

DOI: 10.2514/6.2007-3982

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摘要: In order to illustrate the application of biorthogonal eigenfunction system receptivity problems and multimode decomposition, a study case is chosen so that all steps method are accompanied by analytical solutions. The an inviscid supersonic ∞ow past ∞at plate localized periodic-in-time perturbations emanating from wall revisited within scope for linearized Euler’s equations. addition, projection computational results onto modes continuous spectra shown.

参考文章(13)
Paul Gaydos, Anatoli Tumin, Multimode Decomposition in Compressible Boundary Layers AIAA Journal. ,vol. 42, pp. 1115- 1121 ,(2004) , 10.2514/1.2289
A. M. Tumin, A. V. Fedorov, Spatial growth of disturbances in a compressible boundary layer Journal of Applied Mechanics and Technical Physics. ,vol. 24, pp. 548- 554 ,(1984) , 10.1007/BF00907906
Anatoli Tumin, Eli Reshotko, Receptivity of a boundary-layer flow to a three-dimensional hump at finite Reynolds numbers Physics of Fluids. ,vol. 17, pp. 094101- ,(2005) , 10.1063/1.2033907
Xiaowen Wang, Xiaolin Zhong, Anatoli Tumin, Direct Numerical Simulation and the Theory of Receptivity in a Hypersonic Boundary Layer Physics of Fluids. ,vol. 19, pp. 014101- ,(2007) , 10.1063/1.2409731
Anatoli Tumin, Biorthogonal Eigenfunction System in the Triple‐Deck Limit Studies in Applied Mathematics. ,vol. 117, pp. 165- 190 ,(2006) , 10.1111/J.1467-9590.2006.00351.X
I. M. Ryzhik, I. S. Gradshteyn, M. Y. Tseytlin, Y. V. Geronimus, Alan Jeffrey, Y. C. Fung, Table of Integrals, Series, and Products ,(1943)
Anatoli Tumin, Receptivity of compressible boundary layers to three-dimensional wall perturbations 44th AIAA Aerospace Sciences Meeting and Exhibit. pp. 13445- 13463 ,(2006) , 10.2514/6.2006-1110
Anatoli Tumin, Eli Reshotko, The problem of boundary-layer flow encountering a three-dimensional hump revisited 42nd AIAA Aerospace Sciences Meeting and Exhibit. ,(2004) , 10.2514/6.2004-101