Comptes Rendus
Parallel simulation of multiphase flows using octree adaptivity and the volume-of-fluid method
Comptes Rendus. Mécanique, Volume 339 (2011) no. 2-3, pp. 194-207.

We describe computations performed using the Gerris code, an open-source software implementing finite volume solvers on an octree adaptive grid together with a piecewise linear volume of fluid interface tracking method. The parallelisation of Gerris is achieved by domain decomposition. We show examples of the capabilities of Gerris on several types of problems. The impact of a droplet on a layer of the same liquid results in the formation of a thin air layer trapped between the droplet and the liquid layer that the adaptive refinement allows to capture. It is followed by the jetting of a thin corolla emerging from below the impacting droplet. The jet atomisation problem is another extremely challenging computational problem, in which a large number of small scales are generated. Finally we show an example of a turbulent jet computation in an equivalent resolution of 6×10243 cells. The jet simulation is based on the configuration of the Deepwater Horizon oil leak.

Nous décrivons des simulations réalisées avec le code Gerris, un logiciel libre qui implémente des méthodes de résolution de type volume fini sur un maillage adaptatif hiérarchique octree, et une méthode de suivi en volume avec construction d'interface affine par morceaux. La parallélisation de Gerris est obtenue par une décomposition en domaine. Nous montrons des exemples des capacités de cette approche sur plusieurs types de problèmes. L'impact d'un goutte sur une couche du même liquide provoque la formation d'une mince couche d'aire sous la goutte à l'instant de l'impact qui peut être capturée par la méthode adaptative. Il est suivi par le jaillissement d'une mince corolle par dessous la goutte impactante. Le problème de l'atomization est également un défi important pour le calcul intentsif, dans lequel un grand nombre de structures de petite échelle sont produites. Finalement nous montrons un exemple de simulation de jet turbulent avec une résolution équivalente de 6×10243 cellules. Cette configuration est basée sur celle de la fuite de pétrole brut de Deepwater Horizon.

Published online:
DOI: 10.1016/j.crme.2010.12.006
Keywords: Computer science, Two-phase flow, Parallel computing, Octree, Volume-of-fluid, Droplet impact, Atomisation
Mot clés : Informatique, Algorithmique, Écoulement diphasique, Calcul parallèle, Octree, Volume de fluid, Impact de goutte, Atomisation

Gilou Agbaglah 1, 2; Sébastien Delaux 3; Daniel Fuster 1, 2; Jérôme Hoepffner 1, 2; Christophe Josserand 1, 2; Stéphane Popinet 1, 2, 3; Pascal Ray 1, 2; Ruben Scardovelli 4; Stéphane Zaleski 1, 2

1 Univ. Paris 06, UMR 7190, institut Jean-Le-Rond-d'Alembert, 75005 Paris, France
2 CNRS, UMR 7190, institut Jean-Le-Rond-d'Alembert, 75005 Paris, France
3 National Institute of Water and Atmospheric Research, Private Bag 14-901, Wellington, New Zealand
4 DIENCA - Lab. di Montecuccolino, Università degli Studi di Bologna, Via dei Colli 16, 40136 Bologna, Italy
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Gilou Agbaglah; Sébastien Delaux; Daniel Fuster; Jérôme Hoepffner; Christophe Josserand; Stéphane Popinet; Pascal Ray; Ruben Scardovelli; Stéphane Zaleski. Parallel simulation of multiphase flows using octree adaptivity and the volume-of-fluid method. Comptes Rendus. Mécanique, Volume 339 (2011) no. 2-3, pp. 194-207. doi : 10.1016/j.crme.2010.12.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.12.006/

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