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Droplet Collision Simulation by a Multi-Speed Lattice Boltzmann Method

Published online by Cambridge University Press:  20 August 2015

Daniel Lycett-Brown*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK
Ilya Karlin*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland
Kai H. Luo*
Affiliation:
Energy Technology Group, School of Engineering Sciences, University of Southampton, SO17 1BJ, UK
*
Corresponding author.Email:[email protected]
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Abstract

Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices. The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers. Results are found to be in a good agreement with experimental findings.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2011

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References

[1]Shan, X., and Chen, H., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E., 47 (1993), 1815–1819.CrossRefGoogle ScholarPubMed
[2]Yuan, P., and Schaefer, L., Equations of state in a lattice Boltzmann model, Phys. Fluids., 18 (2006), 042101.Google Scholar
[3]Sbragaglia, M., Benzi, R., Biferale, L., Succi, S., Sugiyama, K., and Toschi, F., Generalized lattice Boltzmann method with multirange pseudopotential, Phys. Rev. E., 75 (2007), 026702.CrossRefGoogle ScholarPubMed
[4]Chikatamarla, S. S., and Karlin, I. V., Entropy and Galilean invariance of lattice Boltzmann theories, Phys. Rev. Lett., 9 (2006), 190601.Google Scholar
[5]Chikatamarla, S. S., and Karlin, I. V., Lattices for the lattice Boltzmann method, Phys. Rev. E., 79 (2009), 046701.CrossRefGoogle ScholarPubMed
[6]He, X., and Luo, L.-S., Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E., 56 (1997), 6811–6817.Google Scholar
[7]Ashgriz, N., and Poo, J. Y., Coalescence and separation in binary collisions of liquid drops, J. Fluid. Mech., 221 (1990), 183–204.CrossRefGoogle Scholar
[8]Brazier-Smith, P. R., Jennings, S. G., and Latham, J., The interaction of falling water drops: coalescence, Proc. R. Soc. London. A., 326 (1972), 393–408.Google Scholar
[9]Qian, J., and Law, C. K., Regimes of coalescence and separation in droplet collision, J. Fluid. Mech., 331 (1997), 59–80.CrossRefGoogle Scholar
[10]Inamuro, T., Ogata, T., Tajima, S., and Konishi, N., A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198 (2004), 628–644.CrossRefGoogle Scholar
[11]Chorin, A. J., Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), 745–762.Google Scholar
[12]Luo, K. H., Xia, J., and Monaco, E., Multiscale modelling of multiphase flow with complex interactions, J. Multiscale. Model., 1 (2009), 125–156.Google Scholar
[13]Frisch, U., D. d’Humires, Hasslacher, B., Lallemand, P., Pomeau, Y., and Rivet, J.-P., Lattice gas hydrodynamics in two and three dimensions, Complex. Syst., 1 (1987), 649–707.Google Scholar
[14]Gunstensen, A. K., Rothman, D. H., Zaleski, S., and Zanetti, G., Lattice Boltzmann model of immiscibel fluids, Phys. Rev. A., 43 (1991), 4320–4307.Google Scholar
[15]Shan, X., Analysis and reduction of the spurious current in a class of multiphase lattice Boltz-mann models, Phys. Rev. E., 73 (2006), 047701.Google Scholar
[16]Asinari, P., and Karlin, I., Generalized Maxwell state and H-theorem for computing fluid flows using the lattice Boltzmann method, Phys. Rev. E., 79 (2009), 036703.CrossRefGoogle ScholarPubMed
[17]Carnahan, N. F., and Starling, K. E., Equation of state for nonattracting rigid spheres, J. Chem. Phys., 51 (1969), 635–636.Google Scholar
[18]Chikatamarla, S. S., Frouzakis, C. E., Karlin, I. V., Tomboulides, A. G., and Boulou, K.B.-chos, Lattice Boltzmann method for direct numerical simulation of turbulent flows, J. Fluid. Mech., 656 (2010), 298–308.CrossRefGoogle Scholar