| ON NONLINEAR STABILITY IN NONPARALLEL BOUNDARY LAYER FLOW |
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| 作者姓名： | TANGDeng-bin WANGWei-zhi |
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| 作者单位： | CollegeofAerospaceEngineering,NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNo :19972 0 2 6 )andtheDoctoralFoundationofMinistryofEducationofChina (GrantNo .2 0 0 30 2 870 0 3) |
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| 摘 要： | The nonlinear stability problem in nonparallel boundary layer flow for two-dimensional disturbances was studied by using a newly presented method called Parabolic Stability Equations (PSE). A series of new modes generated by the nonlinear interaction of disturbance waves were tabulately analyzed, and the Mean Flow Distortion (MFD) was numerically given. The computational techniques developed,including the higher-order spectral method and the more effective algebraic mapping, increased greatly the numerical accuracy and the rate of convergence. With the predictor-corrector approach in the marching procedure, the normalization condition was satisfied, and the stability of numerical calculation could be ensured. With different initial amplitudes, the non linear stability of disturbance wave was studied. The results of examples show good agreement with the data given by the DNS using the full Navier-Stokes equations.
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| 关 键 词： | 非线性稳定性 边界层 谐波 抛物线稳定性方程 平均流变形 Navier-Stokes方程 空气动力学 |
ON NONLINEAR STABILITY IN NONPARALLEL BOUNDARY LAYER FLOW |
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| TANGDeng-bin WANGWei-zhi.ON NONLINEAR STABILITY IN NONPARALLEL BOUNDARY LAYER FLOW[J].Journal of Hydrodynamics,2004,16(3):301-307. |
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| Authors: | TANG Dengbin WANG Weizhi College of Aerospace Engineering Nanjing University of Aeronautics and Astronautics Nanjing China |
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| Affiliation: | TANG Dengbin,WANG Weizhi College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China |
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| Abstract: | The nonlinear stability problem in nonparallel boundary layer flow for twodimensional disturbances was studied by using a newly presented method called Parabolic Stability Equations (PSE). A series of new modes generated by the nonlinear interaction of disturbance waves were tabulately analyzed, and the Mean Flow Distortion (MFD) was numerically given. The computational techniques developed, including the higherorder spectral method and the more effective algebraic mapping, increased greatly the numerical accuracy and the rate of convergence. With the predictorcorrector approach in the marching procedure, the normalization condition was satisfied, and the stability of numerical calculation could be ensured. With different initial amplitudes, the nonlinear stability of disturbance wave was studied. The results of examples show good agreement with the data given by the DNS using the full NavierStokes equations. |
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| Keywords: | nonlinear stability boundary layer nonparallel flow Parabolic Stability Equations (PSE) harmonic wave |
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