【摘要】 以双板驱动空腔粘性流问题为研究对象,根据其特点建立了哈密顿体系下的对偶正则方程,将问题归结为辛体系下的本征值问题。利用辛本征解空间的完备性、正交性和展开理论,形成一套封闭的求解问题方法。算例的数值结果揭示了一些空腔流动的特点。同时这种方法也为研究其他问题提供了一条思路。更多还原

【Abstract】 This paper discusses viscous flows in Lid-driven cavities.Dual equations in Hamiltonian system are obttained and the original problem is reduced to the determination of eigenvalues and eigensolutions in the symplectic space.Because of the complete space of eigensolutions,adjoint relationships of symplectic ortho-normalization and expansion theory,a method is presented and the solution is closed.Some examples are given and show some characteristics in cavities.The method can provide a new idea for investigating other problems.更多还原