A method of symplectic enginsolutions in Stokes flow
Stokes 流问题中的辛本征解方法

In this paper, the problem of two dimensional Stokes flow is reduced to the determination of eigenvalues and eigensolutions in a Hamiltonian system. A closed method for the symplectic eigensolution is presented based on the completeness of the space of symplectic eigensolutions. The results show that basic flows can be described by eigensolutions of zero-eigenvalue and the end effects for the Stokes flow by eigensolutions of non-zero-eigenvalues. Numerical results include some examples of symplectic eigenvalues and eigensolutions, which show that the irregular flow at the ends of the pipeline is decayed. At the same time, the method can also be used for other problems.