References
- E. Reshotko, "Boundary-Layer Stability and Transition", Annu. Rev. Fluid Mech., Vol.9, pp. 311-349, 1976.
- A. Fedorov, "Transition and Stability of High-Speed Boundary Layers", Annu. Rev. Fluid Mech., Vol. 43, pp. 79,-95, 2011. https://doi.org/10.1146/annurev-fluid-122109-160750
- W. S. Saric, H. L. Reed, and E. J. Kerschen, "Boundary-Layer Receptivity to Freestream Disturbances", Annu. Rev. Fluid Mech., Vol. 34, pp. 291-319, 2002. https://doi.org/10.1146/annurev.fluid.34.082701.161921
- L. M. Mack, "Boundary-Layer Linear Stability Theory", AGARD CP-709, NATO, Belgium, 1984.
- H. L. Reed and W. S. Saric, "Linear Stability Theory Applied to Boundary Layers", Annu. Rev. Fluid Mech., Vol. 28, pp. 389-428, 1996. https://doi.org/10.1146/annurev.fl.28.010196.002133
- J. T. Stuart, "Nonlinear Stability Theory", Annu. Rev. Fluid Mech., Vol.3, pp.347-370, 1971. https://doi.org/10.1146/annurev.fl.03.010171.002023
- W. S. Saric, R. B. Carrillo, and M. S. Reibert, "Nonlinear Stability and Transition in 3-D Boundary Layers", Meccanica, Vol.33, pp. 469-487, 1998. https://doi.org/10.1023/A:1004368526215
- F. P. Bertolotti and T. Herbert, and P. R. Spalart, "Linear and nonlinear stability of the Blasius boundary layer", Journal of Fluid Mechanics, Vol. 242, pp. 441-474, 1992. https://doi.org/10.1017/S0022112092002453
- C. L. Chang, M. R. Malik, G. Erlebacher, and M. Y. Hussaini, "Linear and Nonlinear PSE for Compressible Boundary Layers", NASA CR-191537, ICASE Report No. 93-70, 1993.
- R. D. Joslin, C. L. Streett, and C. L. Chang, "Validation of Three-Dimensional Incompressible Spatial Direct Numerical Simulation Code", NASA TP-3205, 1992.
- C. D. Pruett, T. A. Zang, C. L. Chang, and M. H. Carpenter, "Spatial Direct Numerical Simulation of High-Speed Boundary Layer Flows Part I: Algorithmic Considerations and Validation", Theoret. Comput. Fluid Dynamics, Vol. 7, pp. 49-76, 1995. https://doi.org/10.1007/BF00312399
- L. Jiang, C.-L. Chang, M. Choudhari, and C. Liu, "Instability-wave propagation in boundary-layer flows at subsonic through hypersonic Mach numbers", Mathematics and Computers in Simulation, Vol. 65, pp. 469-487, 2004. https://doi.org/10.1016/j.matcom.2004.01.011
- C. S. J. Mayer, H. F. Fasel, M. Choudhari, and C. L. Chang, "Detailed Comparison of DNS with PSE for Oblique Breakdown at Mach 3", AIAA 2010-4596, 2010.
- Bertolotti, F.P., "Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties", Ph.D.Dissertation, The Ohio State University, 1990.
- N. M. El-Hady, "Nonparallel instability of supersonic and hypersonic boundary layers", Phys. Fluids A. Vol. 3, No. 9, pp. 2164-2178, 1991. https://doi.org/10.1063/1.857898
- T. Hebert, "Parabolized Stability Equations", AGARD R-793, 1993.
- T. Hebert, "Parabolized Stability Equations", Annu. Rev. Fluid Mech., Vol. 29, pp. 245-283, 1997. https://doi.org/10.1146/annurev.fluid.29.1.245
- M. R. Malik, "Finite-Difference Solution of the Compressible Stability Eigenvalue Problem", NASA CR-3584, 1982.
- C.-L. Chang and M.R. Malik, "Non-Parallel Stability of Compressible Boundary Layers", AIAA 93-2912, 1993.
- C-L. Chang and M.R. Malik, "Oblique-mode breakdown and secondary instability in supersonic boundary layers", J. Fluid Mechanics, Vol. 273, pp. 323-360, 1994. https://doi.org/10.1017/S0022112094001965
- M. R. Malik, F. Li, M. M. Choudhari, and C.-L. Chang, "Secondary instability of crossflow vortices and swept-wing boundary-layer transition", J. Fluid Mech, Vol. 399, pp. 85-115, 1999. https://doi.org/10.1017/S0022112099006291
- C.-L. Chang, "Langley Stability and Transition Analysis Code(LASTRAC) Version 1.2 User Manual", NASA TM-2004-213233, 2004.
- F.Li and M.R.Malik, "On the Nature of PSE Approximation", Theoret. Comput. Fluid Dynamics, Vol. 8, pp. 253-273, 1996. https://doi.org/10.1007/BF00639695
- P. Andersson, D. S. Henningson, and A. Hanifi, "On a stabilization procedure for the parabolic stability equations", Journal of Engineering Mathematics, Vol. 33, pp. 311-322, 1998. https://doi.org/10.1023/A:1004367704897
- www.netlib.org/lapack
- M. R. Malik, "Numerical Methods for Hypersonic Boundary Layer Stability", Journal of Computational Physics, Vol. 86, pp. 376-413, 1990. https://doi.org/10.1016/0021-9991(90)90106-B
- C.-L. Chang and M. R. Malik, "Compressible Stability of Growing Boundary Layers Using Parabolized Stability Equation", AIAA 91-1636, 1991.
- T. Herbert "Secondary Instability of Boundary Layers", Annu. Rev. Fluid Mech., Vol. 20, pp. 487-526, 1988. https://doi.org/10.1146/annurev.fl.20.010188.002415
- N. M. El-Hady, "Secondary Subharmonic Instability of Boundary Layers With Pressure Gradient and Suction", NASA CR-4112, 1988.
- Y. S. Kachanov and V. Y. Levchenko, "The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer", Journal of Fluid Mechanics, Vol. 138, pp. 209-247, 1984. https://doi.org/10.1017/S0022112084000100
- H. Fasel, A. Thumm, and H. Bestek, "Direct numerical simulation of transition in supersonic boundary layer: oblique breakdown", In Transitional and Turbulent Compressible FLows, FED 151, pp. 77-92, ASME, 1993.
- C. S. J. Mayer, D. A. Von Terzi, and H. F. Fasel, "Direct numerical simulation of complete transition to turbulence via obliqe breakdown at Mach 3", Journal of Fluid Mechanics, 2011.
- T. Herbert, "Studies of Boundary-Layer Receptivity with Parabolzied Stability Equations", AIAA 93-3053, 1993.
- A. M. O. Smith and N. Gamberoni, "Transition, Pressure Gradient, and Stability Theory", Rep. No. ES.26388, Douglas Aircr. Co., Inc.,1956.
- G. Schrauf, T. Herbert, and G. Stuckert, "Evaluation of Transition in Flight Tests Using Nonlinear PSE Analysis", AIAA 95-1801, 1995.
- C. L. Chang and M. Choudhari, "Boundary-Layer Receptivity and Integrated Transition Prediction", AIAA 2005-0526, 2005.
- M. R. Malik and C. L. Chang, "Nonparallel and nonlinear stability of supersonic jet flow", Computers & Fluids, Vol. 29, pp. 327-365, 2000. https://doi.org/10.1016/S0045-7930(99)00013-4
- T. Colonius, A. Samanta, and K. Gudmundsson, "Parabolized stability equation models of large-scale jet mixing noise", Procedia Engineering, Vol. 6, pp. 64-73, 2010. https://doi.org/10.1016/j.proeng.2010.09.008
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