Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902009 | Journal of Computational and Applied Mathematics | 2018 | 26 Pages |
Abstract
In this paper, the time discrete higher order projection method is proposed and analyzed for the time-dependent viscoelastic flow problem. Our numerical method is based on the time iterative discrete schemes. By the projection method, the considered problem is decoupled into two linear subproblems: One is for the velocity and the other is for the pressure. Unconditional stability of the numerical schemes is established. Convergence results for the velocity and pressure are also derived. Our main results of this paper are that the convergence analysis for the velocity is weakly second order and for the pressure is weakly first order. Finally, some numerical examples are provided to confirm the performances of the developed numerical algorithms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tong Zhang, Yanxia Qian, Tao Jiang, JinYun Yuan,