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A FVM implementation and validation of non-local modeling for single- and two-phase granular flows

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Abstract

Granular materials involve a number of phenomena which cannot solely be described by standard local models. In recent years, various non-local models have been proposed to address these shortcomings. However, these models are still in their first step and are rarely implemented numerically, which makes them inconvenient for practical applications. In this paper, we propose an Eulerian numerical implementation of the non-local granular fluidity model (NGF) based on a finite volume method and the volume-of-fluid interface capturing method. The proposed implementation is straightforward at the exception of a relaxation loop used for numerical stabilization and offers a suitable framework to steady flow problems involving evolving boundaries or two distinct phases. It is then validated and successfully applied to different reference cases such as single-phase planar and annular shear cells and two-phase inclined plane. Beyond the validation of the model, this work also highlights the limits of the NGF model as well as the practical conditions to obtain optimal results.

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Funding

This research received no specific grant from any funding agency, commercial or not-for-profit sectors.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Osaka University, 2-1 Yamada-Oka, Osaka, Japan

    Dorian Faroux, Kimiaki Washino, Takuya Tsuji & Toshitsugu Tanaka

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  1. Dorian Faroux
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  2. Kimiaki Washino
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  3. Takuya Tsuji
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  4. Toshitsugu Tanaka
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Correspondence to Takuya Tsuji.

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Custom solver developed in OpenFOAM-6 software.

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Faroux, D., Washino, K., Tsuji, T. et al. A FVM implementation and validation of non-local modeling for single- and two-phase granular flows. Comp. Part. Mech. 9, 1249–1263 (2022). https://doi.org/10.1007/s40571-021-00455-5

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