NONLINEAR EVOLUTION ANALYSIS OF T-S DISTURBANCE WAVE AT FINITE AMPLITUDE IN NONPARALLEL BOUNDARY LAYERS
NONLINEAR EVOLUTION ANALYSIS OF T-S DISTURBANCE WAVE AT FINITE AMPLITUDE IN NONPARALLEL BOUNDARY LAYERS作者机构:Department of Aerodynamics Nanjing University of Aeronautics and Astronautics Nanjing 210016 P R China Department of Aerodynamics Nanjing University of Aeronautics and Astronautics Nanjing 210016 P R China
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2002年第23卷第6期
页 面:660-669页
核心收录:
学科分类:080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 0801[工学-力学(可授工学、理学学位)]
基 金:theNationalNaturalScienceFoundationofChina ( 1 9972 0 2 6)
主 题:boundary layer stability nonlinear evolution nonparallelism T-S disturbance wave compact scheme spatial mode parabolized stability equation
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 I 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.