Dual-Scaled Method for the Rheology of Non-newtonian Boundary Layer and Its High Performance FEM

摘要

In this paper, a macro-micro dual-scaled method is used to model the rheology of non-Newtonian fluids. In the micro scale, stochastic analysis of boundary layer data resulting from engineering test is presented, and bending deformation of cellular porous materials is introduced. In the macro scale, coupled PDEs: Cauchy fluid equation and P-T/T stress equation are used for modeling free surface and over-stretched element, which are non-Newtonian fluid domain. Semi-discrete finite element method is used to solve the macroscopic equations, and three solving schemes are compared. The call of high performance function library, the NAG, is introduced.