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二维抛物化稳定性方程计算
引用本文:王伟志,唐登斌.二维抛物化稳定性方程计算[J].南京航空航天大学学报(英文版),2000,17(1):36-41.
作者姓名:王伟志  唐登斌
作者单位:南京航空航天大学空气动力学系,南京,210016
摘    要:针对二维抛物化稳定性方程(PSE)在法向上采用正交函数展开法进行了计算.在求解PSE的初始条件以及L0的中性曲线中应用了Chebyshev多项式展开.计算结果表明可以获得非常精确的解,证实了在PSE中应用Chebyshev多项式的有效性.

关 键 词:抛物化稳定性方程  Chebyshev多项式  二维方程

CALCULATION OF TWO-DIMENSIONAL PARABOLIC STABILITY EQUATIONS
Wang Weizhi,Tang Dengbin.CALCULATION OF TWO-DIMENSIONAL PARABOLIC STABILITY EQUATIONS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2000,17(1):36-41.
Authors:Wang Weizhi  Tang Dengbin
Abstract:Two-dimensional parabolic stability equations (PSE) are numerically solved using expansions in orthogonal functions in the normal direction.The Chebyshev polynomials approximation,which is a very useful form of orthogonal expansions, is applied to solving parabolic stability equations. It is shown that results of great accuracy are effectively obtained.The availability of using Chebyshev approximations in parabolic stability equations is confirmed.
Keywords:parabolic stability equations  Chebyshev approximations  two-dimensional equation
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