2D numerical simulations of Bingham equations (integrated or not)

Paul Vigneaux 1, 2
2 NUMED - Numerical Medicine
UMPA-ENSL - Unité de Mathématiques Pures et Appliquées, Inria Grenoble - Rhône-Alpes
Abstract : In this talk, we debrief two aspects done in the CNRS Tellus Insu-Insmi project (2016 Call) and which are now supported by the CNRS InFIniTi program (2017-2018). First, we present numerical simulations in expansion-contraction geometries and comparison with physical experiments of Chevalier et al EPL 2013 and Luu et al PRE 2015. It is shown that the Bingham law alone still allows to retrieve non trivial features of the flow. Second, we present 2D schemes for a shallow Bingham model (Bresch et al AMFM 2010) which allow to accurately compute arrested states at the end of the avalanche of a viscoplastic material. It blends Well-Balanced Finite Volumes and duality methods. These two aspects are described respectively in (i) A. Marly, P. Vigneaux : Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments - Journal of Non Newtonian Fluid Mechanics 239 : 35-52 - 2017 and (ii) E. D. Fernandez-Nieto, J. M. Gallardo, P. Vigneaux. Efficient numerical schemes for viscoplastic avalanches. Part 2: the 2D case. Submitted, March 2017.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01568776
Contributor : Paul Vigneaux <>
Submitted on : Tuesday, July 25, 2017 - 4:51:50 PM
Last modification on : Tuesday, November 19, 2019 - 10:44:00 AM

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Paul Vigneaux. 2D numerical simulations of Bingham equations (integrated or not). 5me Ecole du GdR CNRS EGRIN, May 2017, Cargèse, France. ⟨hal-01568776⟩

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