Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (6): 660-669.

• 论文 • 上一篇    下一篇

NONLINEAR EVOLUTION ANALYSIS OF T-S DISTURBANCE WAVE AT FINITE AMPLITUDE IN NONPARALLEL BOUNDARY LAYERS

唐登斌, 夏浩   

  1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
  • 收稿日期:2001-07-19 修回日期:2002-02-09 出版日期:2002-06-18 发布日期:2002-06-18
  • 基金资助:
    the National Natural Science Foundation of China(19972026)

NONLINEAR EVOLUTION ANALYSIS OF T-S DISTURBANCE WAVE AT FINITE AMPLITUDE IN NONPARALLEL BOUNDARY LAYERS

TANG Deng-bin, XIA Hao   

  1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
  • Received:2001-07-19 Revised:2002-02-09 Online:2002-06-18 Published:2002-06-18
  • Supported by:
    the National Natural Science Foundation of China(19972026)

摘要: The nonlinear evolution problem in nonparallel boundary layer stability was studied. The relative parabolized stability equations of nonlinear nonparallel boundary layer were derived. The developed numerical method, which is very effective, was used to study the nonlinear evolution of T-S disturbance wave at finite amplitudes. Solving nonlinear equations of different modes by using predictor-corrector and iterative approach, which is uncoupled between modes, improving computational accuracy by using high order compact differential scheme, satisfying normalization condition, determining tables of nonlinear terms at different modes, and implementing stably the spatial marching, were included in this method. With different initial amplitudes, the nonlinear evolution of T-S wave was studied. The nonlinear nonparallel results of examples compare with data of direct numerical simulations (DNS) using full Navier-Stokes equations.

Abstract: The nonlinear evolution problem in nonparallel boundary layer stability was studied. The relative parabolized stability equations of nonlinear nonparallel boundary layer were derived. The developed numerical method, which is very effective, was used to study the nonlinear evolution of T-S disturbance wave at finite amplitudes. Solving nonlinear equations of different modes by using predictor-corrector and iterative approach, which is uncoupled between modes, improving computational accuracy by using high order compact differential scheme, satisfying normalization condition, determining tables of nonlinear terms at different modes, and implementing stably the spatial marching, were included in this method. With different initial amplitudes, the nonlinear evolution of T-S wave was studied. The nonlinear nonparallel results of examples compare with data of direct numerical simulations (DNS) using full Navier-Stokes equations.

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