Finite Element Convergence Analysis of Two-Scale Non-Newtonian Flow Problems

Abstract:

The convergence of the first-order hyperbolic partial differential equations in non-Newton fluid is analyzed. This paper uses coupled partial differential equations (Cauchy fluid equations, P-T/T stress equation) on a macroscopic scale to simulate the free surface elements. It generates watershed by excessive tensile elements. The semi-discrete finite element method is used to solve these equations. These coupled nonlinear equations are approximated by linear equations. Its super convergence is proposed.

• Periodical: Advanced Materials Research (Volumes 718-720)
• Pages: 1723-1728
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.718-720.1723
• Online since: July 2013
• Authors: Lei Hou, Jun Jie Zhao, Han Ling Li
• Keywords: Nonlinear, Non-Newtonian Fluid, Semi-Discrete Finite Element Method, Super Convergence

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