【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。更多还原

【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.更多还原