%0 Journal Article
%T The Super-Convergence in Rheological Flow
%A H. L. LI
%A J. J. ZHAO
%A L. HOU
%A L. QIU
%A S. L. ZHOU
%A X. Y. SUN
%J -
%D 2014
%R http://dx.doi.org/10.3968/4098 http://dx.doi.org/10.3968/pdf_2
%X To estimate the solution of the coupled first-order hyperbolic partial differential equations, we use both the boundary-layer method and numeric analysis to study the Cauchy fluid equations and P-T/T stress equation. On the macroscopic scale the free surface elements generate flow singularity and stress uncertainty by excessive tensile stretch. A numerical super-convergence semi-discrete finite element scheme is used to solve the time dependent equations. The coupled nonlinear solutions are estimated by boundary-layer approximation. Its numerical super convergence is proposed with the a priori and a posteriori error estimates.
%K Non-Newtonian fluid
%K Semi-discrete finite element method
%K Super convergence
%K Boundary-layer solution
%U http://cscanada.net/index.php/pam/article/view/4098