预条件的Krylov子空间方法在求解N-S方程中的应用

Application of the preconditioned Krylov subspace methods for solving the N-S equations

主要是将预条件的Krylov子空间方法应用到流体力学中N-S方程的求解过程中。以平行板突扩管为例,验证文中所给的预条件Krylov子空间方法的可行性和有效性,在CUP时间上与常用的TDMA算法做了比较。

In this thesis,the preconditioned Krylov subspace methods are applied to solve the N-S equations in fluid dynamics.A numerical test for sudden expansion tube is listed to verify the feasibility and the efficiency of the methods.The CPU times is also compared with TDMA algorithm.