Second order time-space iterative method for the stationary Navier-Stokes equations

被引：5
作者：
Huang, Pengzhan [1 ]
He, Yinnian [1 ,2 ]
Feng, Xinlong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 59卷
关键词：
Navier-Stokes equations; Second order temporal accuracy; Time-space iterative method; Implicit/explicit scheme; Numerical verification; FINITE-ELEMENT APPROXIMATION; STABILITY; SCHEME;
D O I：
10.1016/j.aml.2016.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A second order time space implicit/explicit iterative scheme for the stationary Navier-Stokes equations is designed, where the spatial discretization is based on the mixed finite element method and the time discretization is based on the second order implicit/explicit (the Crank-Nicolson/Admas-Bashforth) scheme. Under a weak uniqueness condition, the optimal H1-L2 error estimates related to the mesh size h and time step size tau of the iterative solution (u(h)(n),p(n)(h)) to the exact solution ((u) over tilde,(p) over tilde) and the optimal L-2 error estimate related to h and tau of the iterative solution u(h)(n) to the exact solution (u) over tilde are provided. In numerical aspect, some comparisons with the first order time space iterative method are made to confirm the efficiency of the proposed second order scheme. (C) 2016 Elsevier Ltd. All rights reserved.
引用
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页码：79 / 86
页数：8
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