1. Modelling and Simulations of non-Newtonian fluid flows Open Access Author: Lee, Young-Ju Title: Modelling and Simulations of non-Newtonian fluid flows Graduate Program: Mathematics Keywords: conformation tensornon-Newtonian modelsconstitutive equationpositivity preserving schemeRiccati differential equationLie derivativemultigridsingular problemsfalling sphere simulationsthe Johnson-Segalman model File: Download mythesis.pdf Committee Members: Jinchao Xu, Committee Chair/Co-ChairChun Liu, Committee MemberAndrew Leonard Belmonte, Committee MemberJames Spiro Vrentas, Committee MemberNigel David Higson, Committee Member