Affiliation:
1. Shanghai University
2. Shanghai Jiaotong University
Abstract
This paper introduces two equations of non-Newtonian boundary-layer fluid: Cauchy equation of flow field and P-T/T equation of stress field. Secondly, we analyze the convergence of this system of fluid-solid coupled equation with semi-discrete finite element method. We use Galerkin finite element method on the space and semi-implicit C-N difference scheme on the time. Thus, the convergent order of the coupled equations is O（h2+k2） .
Publisher
Trans Tech Publications, Ltd.
Reference7 articles.
1. Dongmei Bai, Luming Zhang. The finite element method for the coupled Schrodinger-KdV equations. Physics Letters A 2009: 2237-2244.
2. Pengzhan Huang, Xinlong Feng, Haiyan Su. Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Nonlinear Analysis, Real world Applications 2013: 1171-1181.
3. Lei Hou, Junjie Zhao, Hanling Li. Finite element convergence analysis of two-scale non-Newtonian flow problems. Proceedings of Adcances Materials Research Xiamen, China, 2013: 1723-1728.
4. Lei Hou, Li Cai. Nonlinear property of the visco-elastic-plastic material in the impact problem. Journal of Shanghai University (English Edition), 2009, 13(1): 23-28.
5. Lei Hou, Dezhi Lin, Hanling Li. Computational Modeling on the Complex Boundary Conditions in the Impact Problem. International Conference on Computer and Network Technology, Shanghai, China, 2011: 231-235.