Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Log-Conformation and Square Root-Conformation Transformations in High Weissenberg Number Flows
Submission Author:
Beatriz Liara Carreira , SP
Co-Authors:
Beatriz Liara Carreira, Analice Costacurta Brandi, Laison Junio da Silva Furlan, Matheus Tozo de Araujo, Leandro Franco de Souza
Presenter: Analice Costacurta Brandi
doi://10.26678/ABCM.COBEM2019.COB2019-1949
Abstract
The High Weissenberg Number Problem (HWNP) consists in the occurrence of numerical instabilities, resulting from a breakdown of the numerical schemes applied in the constitutive equation solution for non-Newtonian fluids. Considering the incompressible two-dimensional Poiseuille flow, whose the mathematical model adopted for the non-Newtonian fluid extra-stress tensor is the Giesekus and the stability analysis is performed by means of Direct Numerical Simulations (DNS). This work aims to present a comparison between two techniques for HWNP solution. These are matrix decompositions of the tensor conformation: one is known as a log-conformation formulation and the other as a square root-conformation.
Keywords
Giesekus fluid, Poiseuille flow, log-conformation tensor, square root-conformation tensor
