References
- Anderson, D., J. Tannehill, and R. Pletcher. 1984. Computational Fluid Mechanics and Heat Transfer. New York: McGraw-Hill.
- Bagheri, S., E. Åkervik, L. Brandt, and D. S. Henningson. 2009. “Matrix-free Methods for the Stability and Control of Boundary Layers.” AIAA Journal 47 (5): 1057–1068.
- Balsara, D. S., and C.-W. Shu. 2000. “Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy.” Journal of Computational Physics 160 (2): 405–452.
- Bhagatwala, A., and S. K. Lele. 2009. “A Modified Artificial Viscosity Approach for Compressible Turbulence Simulations.” Journal of Computational Physics 228 (14): 4965–4969.
- Chang, C.-L., and M. R. Malik. 1994. “Oblique-mode Breakdown and Secondary Instability in Supersonic Boundary Layers.” Journal of Fluid Mechanics 273: 323–360.
- Chen, X., G. L. Huang, and C. B. Lee. 2019. “Hypersonic Boundary Layer Transition on a Concave Wall: Stationary Görtler Vortices.” Journal of Fluid Mechanics 865: 1–40.
- Craik, A. D. D. 1971. “Non-linear Resonant Instability in Boundary Layers.” Journal of Fluid Mechanics 50 (2): 393–413.
- Egorov, I. V., A. V. Fedorov, and V. G. Soudakov. 2006. “Direct Numerical Simulation of Disturbances Generated by Periodic Suction-blowing in a Hypersonic Boundary Layer.” Theoretical and Computational Fluid Dynamics 20 (1): 41–54.
- Egorov, I. V., and A. V. Novikov. 2016. “Direct Numerical Simulation of Laminar–turbulent Flow Over a Flat Plate At Hypersonic Flow Speeds.” Computational Mathematics and Mathematical Physics 56 (6): 1048–1064.
- Eitel-Amor, G., R. Örlü, P. Schlatter, and O. Flores. 2015. “Hairpin Vortices in Turbulent Boundary Layers.” Physics of Fluids 27 (2): 025108.
- Fedorov, A. V. 2011. “Transition and Stability of High-speed Boundary Layers.” Annual Review of Fluid Mechanics 43: 79–95.
- Fedorov, A. V., and A. P. Khokhlov. 1991. “Excitation of Unstable Modes in a Suic Boundary Layer by Acoustic Waves.” Fluid Dynamics 26 (4): 531–537.
- Franko, K. J., and S. K. Lele. 2013. “Breakdown Mechanisms and Heat Transfer Overshoot in Hypersonic Zero Pressure Gradient Boundary Layers.” Journal of Fluid Mechanics 730: 491–532.
- Gaitonde, D. V., and M. R. Visbal. 1998. “High-order schemes for Navier-Stokes equations: algorithm and implementation into FDL3DI.” Technical Report. institutionAir Force Research Lab Wright-Patterson AFB OH Air Vehicles Directorate.
- Herbert, T. 1988. “Secondary Instability of Boundary Layers.” Annual Review of Fluid Mechanics 20 (1): 487–526.
- Jeong, J., F. Hussain, W. Schoppa, and J. Kim. 1997. “Coherent Structures Near the Wall in a Turbulent Channel Flow.” Journal of Fluid Mechanics 332: 185–214.
- Johnson, H., and G. Candler. 2005. “Hypersonic boundary layer stability analysis using PSE-Chem.” AIAA Paper 2005-5023, 35th AIAA Fluid Dynamics Conference and Exhibit.
- Li, F., M. M. Choudhari, and P. Paredes. 2019. “Nonlinear Görtler Vortices and Their Secondary Instability in a Hypersonic Boundary Layer.” AIAA Paper 2019-3216, AIAA Aviation 2019 Forum.
- Liu, Y., T. A. Zaki, and P. A. Durbin. 2008. “Floquet Analysis of Secondary Instability of Boundary Layers Distorted by Klebanoff Streaks and Tollmien–Schlichting Waves.” Physics of Fluids 20 (12): 124102.
- Loiseau, J.-C., M. A. Bucci, S. Cherubini, and J.-C. Robinet. 2019. Time-stepping and Krylov methods for large-scale instability problems. Computational modelling of bifurcations and instabilities in fluid dynamics. Springer. 33–73.
- Ma, Y., and X. Zhong. 2003. “Receptivity of a Suic Boundary Layer Over a Flat Plate. Part 1. Wave Structures and Interactions.” Journal of Fluid Mechanics 488: 31–78.
- Mack, L. M. 1975. “Linear Stability Theory and the Problem of Suic Boundary-layer Transition.” AIAA Journal 13 (3): 278–289.
- Morkovin, M. V. 1969. On the many faces of transition. Viscous drag reduction. Springer. 1–31.
- Ranjan, R., S. Unnikrishnan, and D. Gaitonde. 2020. “A Robust Approach for Stability Analysis of Complex Flows Using High-order Navier-Stokes Solvers.” Journal of Computational Physics 403: 109076.
- Reshotko, E. 2008. “Transition Issues for Atmospheric Entry.” Journal of Spacecraft and Rockets 45 (2): 161–164.
- Roe, P. L. 1981. “Approximate Riemann Solvers, Parameter Vectors and Difference Schemes.” Journal of Computational Physics 43: 357–372.
- Schneider, S. P. 2008. “Summary of Hypersonic Boundary-layer Transition Experiments on Blunt Bodies with Roughness.” Journal of Spacecraft and Rockets 45 (6): 1090–1105.
- Shu, C. W., and S. Osher. 1988. “Efficient Implementation of Essentially Non-oscillatory Shock-capturing Schemes.” Journal of Computational Physics 77 (2): 439–471.
- Sivasubramanian, J., and H. F. Fasel. 2014. “Numerical Investigation of the Development of Three-dimensional Wavepackets in a Sharp Cone Boundary Layer At Mach 6.” Journal of Fluid Mechanics 756: 600–649.
- Unnikrishnan, S., and D. V. Gaitonde. 2019. “First-mode-induced Nonlinear Breakdown in a Hypersonic Boundary Layer.” Computers & Fluids 191: 104249.
- Unnikrishnan, S., and D. V. Gaitonde. 2020. “Linear, Nonlinear and Transitional Regimes of Second-mode Instability.” Journal of Fluid Mechanics 905: 00.
- Vaughan, N. J., and T. A. Zaki. 2011. “Stability of Zero-pressure-gradient Boundary Layer Distorted by Unsteady Klebanoff Streaks.” Journal of Fluid Mechanics 681: 116.
- Vinokur, M. 1974. “Conservation Equations of Gasdynamics in Curvilinear Coordinate Systems.” Journal of Computational Physics 14 (2): 105–125.
- Visbal, M., and D. Gaitonde. 1998. “High-order accurate methods for unsteady vortical flows on curvilinear meshes.” AIAA Paper 1998-0131, 36th AIAA Aerospace Sciences Meeting and Exhibit.
- Wilkinson, S. 1997. “A review of hypersonic boundary layer stability experiments in a quiet Mach 6 wind tunnel.” AIAA Paper 1997–1819, 28th Fluid Dynamics Conference.
- Wu, X., and P. Moin. 2009. “Direct Numerical Simulation of Turbulence in a Nominally Zero-pressure-gradient Flat-plate Boundary Layer.” Journal of Fluid Mechanics 630: 5–41.
- Zhong, X., and X. Wang. 2012. “Direct Numerical Simulation on the Receptivity, Instability, and Transition of Hypersonic Boundary Layers.” Annual Review of Fluid Mechanics 44: 527–561.