https://doi.org/10.1051/epjconf/202124903025
Coupling non-local rheology and volume of fluid (VOF) method: a finite volume method (FVM) implementation
Dept. of Mechanical Eng. Osaka Univ., 2-1 Yamada-Oka, Suita, Osaka
* e-mail: dorian@cf.mech.eng.osaka-u.ac.jp
** e-mail: washino.k@mech.eng.osaka-u.ac.jp
*** e-mail: tak@mech.eng.osaka-u.ac.jp
**** e-mail: tanaka@mech.eng.osaka-u.ac.jp
Published online: 7 June 2021
Additional to a behavior switching between solid-like and liquid-like, dense granular flows also present propagating grain size-dependent effects also called non-local effects. Such behaviors cannot be efficiently modeled by standard rheologies such as µ(I)-rheology but have to be dealt with advanced non-local models. Unfortunately, these models are still new and cannot be used easily nor be used for various configurations. We propose in this work a FVM implementation of the recently popular NGF model coupled with the VOF method in order to both make non-local modeling more accessible to everyone and suitable not only for single-phase flows but also for two-phase flows. The proposed implementation has the advantage to be extremely straightforward and to only require a supplementary stabilization loop compared to the theoretical equations. We then applied our new framework to both single and two-phase flows for validation.
A video is available at https://doi.org/10.48448/wk3b-ab27
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
