Numerical simulations of granular dam break: comparison between discrete element, Navier-Stokes and thin-layer models
Hugo A. Martin
(1, 2)
,
Marc Peruzzetto
(3, 4)
,
Sylvain Viroulet
(5)
,
Anne Mangeney
(1, 6)
,
Pierre-Yves Lagrée
(7)
,
Stéphane Popinet
(7)
,
Bertrand Maury
(8, 9)
,
Aline Lefebvre-Lepot
(10)
,
Yvon Maday
(2, 6)
,
François Bouchut
(11)
1
IPG Paris -
Institut de Physique du Globe de Paris
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
3 IPGP (UMR_7154) - Institut de Physique du Globe de Paris
4 BRGM - Bureau de Recherches Géologiques et Minières
5 IMFT - Institut de mécanique des fluides de Toulouse
6 IUF - Institut universitaire de France
7 IJLRDA-FCIH - Fluides Complexes et Instabilités Hydrodynamiques
8 DMA - Département de Mathématiques et Applications - ENS Paris
9 LMO - Laboratoire de Mathématiques d'Orsay
10 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
11 LAMA - Laboratoire Analyse et de Mathématiques Appliquées
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
3 IPGP (UMR_7154) - Institut de Physique du Globe de Paris
4 BRGM - Bureau de Recherches Géologiques et Minières
5 IMFT - Institut de mécanique des fluides de Toulouse
6 IUF - Institut universitaire de France
7 IJLRDA-FCIH - Fluides Complexes et Instabilités Hydrodynamiques
8 DMA - Département de Mathématiques et Applications - ENS Paris
9 LMO - Laboratoire de Mathématiques d'Orsay
10 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
11 LAMA - Laboratoire Analyse et de Mathématiques Appliquées
Hugo A. Martin
- Fonction : Auteur
- PersonId : 1166842
- IdHAL : hugo-a-martin
- ORCID : 0000-0002-7089-8958
Marc Peruzzetto
- Fonction : Auteur
- PersonId : 753445
- IdHAL : marc-peruzzetto
- ORCID : 0000-0002-0562-1506
Anne Mangeney
- Fonction : Auteur
- PersonId : 755583
- ORCID : 0000-0002-3197-6087
Pierre-Yves Lagrée
- Fonction : Auteur
- PersonId : 5128
- IdHAL : pierre-yves-lagree
- ORCID : 0000-0002-3931-6622
- IdRef : 180669745
Stéphane Popinet
- Fonction : Auteur
- PersonId : 11972
- IdHAL : stephane-popinet
- ORCID : 0000-0001-9947-297X
- IdRef : 223641987
Aline Lefebvre-Lepot
- Fonction : Auteur
- PersonId : 180069
- IdHAL : aline-lefebvre-lepot
- ORCID : 0000-0002-9521-126X
Yvon Maday
- Fonction : Auteur
- PersonId : 1208540
- ORCID : 0000-0002-0443-6544
- IdRef : 032894031
François Bouchut
- Fonction : Auteur
- PersonId : 1417
- IdHAL : francois-bouchut
- ORCID : 0000-0002-2545-1655
- IdRef : 069393656
Résumé
Granular flows occur in various contexts including laboratory experiments, industrial processes and natural geophysical flows. In order to investigate their dynamics, different kinds of physically-based models have been developed. These models can be characterized by the length scale at which dynamic processes are described. Discrete models use a microscopic scale to model individually each grain, Navier-Stokes models use a mesoscopic scale to consider elementary volumes of grains, and thin-layer models use a macroscopic scale to model the dynamics of elementary columns of fluids. In each case, the derivation of the associated equations is well known. However, few studies focus on the extent to which these modeling solutions yield mutually coherent results. In this work, we compare the simulations of a granular dam break on a horizontal or inclined plane, for the discrete model COCD, the Navier-Stokes model Basilisk, and the thin-layer model SHALTOP. We show that, although all three models allow reproducing the temporal evolution of the free surface in the horizontal case (except for SHALTOP at the initiation), the modeled flow dynamics are significantly different, and in particular during the stopping phase. The pressures measured at the flow's bottom are in relatively good agreement, but significant variations are obtained with the COCD model due to complex and fast-varying granular lattices. Similar conclusions are drawn using the same rheological parameters to model a dam break on an inclined plane. This comparison exercise is essential for assessing the limits and uncertainties of granular flow modeling.
Domaines
Mécanique des fluides [physics.class-ph] Modélisation et simulation Mécanique des solides [physics.class-ph]Format du dépôt | Fichier |
---|---|
Type de dépôt | Article dans une revue |
Titre |
en
Numerical simulations of granular dam break: comparison between discrete element, Navier-Stokes and thin-layer models
|
Résumé |
en
Granular flows occur in various contexts including laboratory experiments, industrial processes and natural geophysical flows. In order to investigate their dynamics, different kinds of physically-based models have been developed. These models can be characterized by the length scale at which dynamic processes are described. Discrete models use a microscopic scale to model individually each grain, Navier-Stokes models use a mesoscopic scale to consider elementary volumes of grains, and thin-layer models use a macroscopic scale to model the dynamics of elementary columns of fluids. In each case, the derivation of the associated equations is well known. However, few studies focus on the extent to which these modeling solutions yield mutually coherent results. In this work, we compare the simulations of a granular dam break on a horizontal or inclined plane, for the discrete model COCD, the Navier-Stokes model Basilisk, and the thin-layer model SHALTOP. We show that, although all three models allow reproducing the temporal evolution of the free surface in the horizontal case (except for SHALTOP at the initiation), the modeled flow dynamics are significantly different, and in particular during the stopping phase. The pressures measured at the flow's bottom are in relatively good agreement, but significant variations are obtained with the COCD model due to complex and fast-varying granular lattices. Similar conclusions are drawn using the same rheological parameters to model a dam break on an inclined plane. This comparison exercise is essential for assessing the limits and uncertainties of granular flow modeling.
|
Auteur(s) |
Hugo A. Martin
1, 2
, Marc Peruzzetto
3, 4
, Sylvain Viroulet
5
, Anne Mangeney
1, 6
, Pierre-Yves Lagrée
7
, Stéphane Popinet
7
, Bertrand Maury
8, 9
, Aline Lefebvre-Lepot
10
, Yvon Maday
2, 6
, François Bouchut
11
1
IPG Paris -
Institut de Physique du Globe de Paris
( 300354 )
- 1 rue Jussieu, 75005 Paris
- France
2
LJLL (UMR_7598) -
Laboratoire Jacques-Louis Lions
( 1005052 )
- Sorbonne-Université, Boîte courrier 187 - 75252 Paris Cedex 05
- France
3
IPGP (UMR_7154) -
Institut de Physique du Globe de Paris
( 1005035 )
- 1 rue Jussieu, 75238 Paris cedex 05 et Bât. Lamarck A case postale 7011, 75205 Paris CEDEX 13
- France
4
BRGM -
Bureau de Recherches Géologiques et Minières
( 18404 )
- regroupe le site d'Orléans et l'ensemble des Directions régionales sous une seule et même affiliation. Ne pas décliner de sous-structures locales
- France
5
IMFT -
Institut de mécanique des fluides de Toulouse
( 690 )
- Allée du Professeur Camille Soula
31400 Toulouse
France
- France
6
IUF -
Institut universitaire de France
( 56663 )
- Maison des Universités 103 Boulevard Saint-Michel 75005 Paris
- France
7
IJLRDA-FCIH -
Fluides Complexes et Instabilités Hydrodynamiques
( 477788 )
- France
8
DMA -
Département de Mathématiques et Applications - ENS Paris
( 66 )
- 45 rue d'Ulm
75005 Paris
- France
9
LMO -
Laboratoire de Mathématiques d'Orsay
( 1042458 )
- Bâtiment 307, 91405, Orsay cedex
- France
10
CMAP -
Centre de Mathématiques Appliquées - Ecole Polytechnique
( 89626 )
- École Polytechnique Route de Saclay 91128 Palaiseau Cedex
- France
11
LAMA -
Laboratoire Analyse et de Mathématiques Appliquées
( 1004422 )
- Université Gustave Eiffel, 5 boulevard Descartes, F-77454 Marne-la-Vallée, France
Université Paris-Est Créteil LAMA UMR CNRS 8050 UFR des Sciences et Technologie
Bâtiment P3 - 4ème étage -61, avenue du Général de Gaulle 94010 Créteil Cedex
- France
|
Date de production/écriture |
2022
|
Vulgarisation |
Non
|
Comité de lecture |
Oui
|
Audience |
Internationale
|
Langue du document |
Anglais
|
Nom de la revue |
|
Date de publication |
2023-11-06
|
Volume |
108
|
Numéro |
5
|
Page/Identifiant |
054902-054927
|
Domaine(s) |
|
Mots-clés |
en
Navier-Stokes Equations, Thin-layer models, Granular Flow Dynamics, Basal stress, Granular media, Discrete Element Methods
|
DOI | 10.1103/PhysRevE.108.054902 |
Origine :
Fichiers produits par l'(les) auteur(s)
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