Numerical simulation of linear phan-thien tanner model in a 4:1 planar contraction flow

Abstract

This thesis considers the viscoelastic flows in a 4:1 planar contraction geometry with robust numerical algorithms. Discontinuous Galerkin (DG) method was applied to the constitutive equations to increase the accuracy of numerical solutions. The governing equations were rewritten as a discrete Elastic Viscous Stress Splitting-G (DEVSS-G) form. Governing equations were formulated with a finite element method. A fractional fourstep method was employed as a transient scheme. With these stable algorithms, complicated flow fields predicted by linear Phan-Thien Tanner model could be analyzed. In addition, vortex dynamics and the flow behavior were compared with those predicted by the Oldroyd-B model.