Commun. Comput. Phys., 9 (2011), pp. 1414-1430.


Multiphysic Two-Phase Flow Lattice Boltzmann: Droplets with Realistic Representation of the Interface

Pablo M. Dupuy 1, Maria Fernandino 2*, Hugo A. Jakobsen 3, Hallvard F. Svendsen 3

1 Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway; and CSIRO - Mathematics, Informatics and Statistics, Melbourne, Australia (current affiliation).
2 Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway.
3 Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway.

Received 3 November 2009; Accepted (in revised version) 10 January 2011
Available online 18 February 2011
doi:10.4208/cicp.031109.100111s

Abstract

Free energy lattice Boltzmann methods are well suited for the simulation of two phase flow problems. The model for the interface is based on well understood physical grounds. In most cases a numerical interface is used instead of the physical one because of lattice resolution limitations. In this paper we present a framework where we can both follow the droplet behavior in a coarse scale and solve the interface in a fine scale simultaneously. We apply the method for the simulation of a droplet using an interface to diameter size ratio of 1 to 280. In a second simulation, a small droplet coalesces with a 42 times larger droplet producing on it only a small capillary wave that propagates and dissipates.


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PACS: 82.70.-y, 02.70.Hm, 02.60.Nm
Key words: Two-phase flow, diffuse interface model, multi-scale, real interface.

*Corresponding author.
Email: pablo.dupuy@nt.ntnu.no, pablo.dupuy@csiro.au (P. M. Dupuy), maria.fernandino@nt.ntnu.no (M. Fernandino), hugo.jakobsen@chemeng.ntnu.no (H. A. Jakobsen), hallvard.svendsen@chemeng.ntnu.no (H. F. Svendsen)
 

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