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Title: Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
Authors: Pires, Marília
Bodnár, Tomás
Editors: Poole, Chris
Von Larcher, Thomas
Sahraie, Nastaran Ranjbar
Keywords: Artificial diffusion stabilization
Finite element method
Oldroyd-B fluid
Stress diffusion
Issue Date: 12-Apr-2023
Publisher: SN Applied Sciences
Citation: Pires, M., Bodnár, T. Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations. SN Appl. Sci. 5, 135 (2023).
Abstract: Two different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present during the initial stage of time-marching process towards the steady state solution. These extra terms naturally vanish and do not affect the final result. The numerical simulations are built on a simple steady 2D case of Oldroyd-B fluid flow in a symmetrical corrugated channel. Numerical solver uses finite element discretization in space and characteristic Galerkin method for pseudo-time discretization. Numerical results are presented in the form of isolines and graphs of selected flow variables, to assess the possible efficiency of the different stabilization techniques used
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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