EPTT 2020

12th Spring School on Transition and Turbulence

HYDRODYNAMIC STABILITY ANALYSIS IN HIGH WEISSENBERG NUMBER FLOWS VIA LOG-CONFORMATION TRANSFORMATION

Submission Author: Beatriz Liara Carreira , SP
Co-Authors: Beatriz Liara Carreira, Analice Brandi, Matheus Tozo de Araujo, Laison Junio da Silva Furlan, Leandro Franco de Souza
Presenter: Beatriz Liara Carreira

doi://10.26678/ABCM.EPTT2020.EPT20-0047

 

Abstract

Over time, several authors have dedicated themselves to investigating the causes and developing stabilizing methods for a difficulty that became known as the High Weissenberg Number Problem (HWNP), which consists in numerical instabilities arising from the collapse of numerical schemes applied in the constitutive equation solution for non-Newtonian fluids. The log-conformation formulation has highlight in the literature and consists of the application of the logarithmic transformation to the conformation tensor. Therefore, the aim of the present work is to use the log-conformation method as code stabilizing technique to investigate the hydrodynamic stability of the two-dimensional Poiseuille flow for Giesekus fluid by means of Direct Numerical Simulation (DNS) considering high Weissenberg numbers.

Keywords

high Weissenberg number problem, log-conformation method, direct numerical simulation, Poiseuille flow

 

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