A highly accurate finite-difference PSE code has been developed to investigate the stability analysis of incompressible boundary layers over a flat plate. The PSE equations are derived in terms of primitive variables and are solved numerically by using compact method. In these formulations, both nonparallel as well as nonlinear effects are accounted for. The validity of present numerical scheme is demonstrated using spatial simulations of two cases; two-dimensional (linear and nonlinear) Tollmien-Schlichting wave propagation and three-dimensional subharmonic instability breakdown. The PSE solutions have been compared with previous numerical investigations and experimental results and show good agreement.
Linear and Nonlinear PSE for Stability Analysis of the Blasius Boundary Layer Using Compact Scheme
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division November 22, 1999; revised manuscript received April 12, 2001. Associate Editor: D. R. Williams.
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Esfahanian, V., Hejranfar , K., and Sabetghadam, F. (April 12, 2001). "Linear and Nonlinear PSE for Stability Analysis of the Blasius Boundary Layer Using Compact Scheme ." ASME. J. Fluids Eng. September 2001; 123(3): 545–550. https://doi.org/10.1115/1.1385833
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