Commun. Comput. Phys., 9 (2011), pp. 269-296.

Lattice Boltzmann Methods for Multiphase Flow Simulations across Scales

Giacomo Falcucci 1, Stefano Ubertini 1, Chiara Biscarini 2, Silvia Di Francesco 3, Daniele Chiappini 4, Silvia Palpacelli 5, Alessandro De Maio 5, Sauro Succi 6*

1 Department of Technologies, University of Naples "Parthenope", Centro Direzionale-Isola C4, 80143 Naples, Italy.
2 H2CU, Honors Center of Italian Universities-University of Rome "La Sapienza", Rome, Italy; and Water Resources Research and Documentation Centre, University for Foreigners, Villa La Colombella, Perugia, Italy.
3 H2CU, Honors Center of Italian Universities-University of Rome "La Sapienza", Rome, Italy; and Department of Civil and Environmental Engineering, University of Perugia,Via G. Duranti 93, Perugia, Italy.
4 Department of Mechanical Engineering, University of Rome "Tor Vergata", Viale Politecnico, Rome, Italy.
5 Nu.M.I.D.I.A. srl, Via Berna 31, 00184 Roma, Italy.
6 Istituto Applicazioni Calcolo, CNR, Via dei Taurini 9, 00185 Rome, Italy.

Received 22 December 2009; Accepted (in revised version) 25 May 2010
Available online 27 August 2010


The simulation of multiphase flows is an outstanding challenge, due to the inherent complexity of the underlying physical phenomena and to the fact that multiphase flows are very diverse in nature, and so are the laws governing their dynamics. In the last two decades, a new class of mesoscopic methods, based on minimal lattice formulation of Boltzmann kinetic equation, has gained significant interest as an efficient alternative to continuum methods based on the discretisation of the NS equations for non ideal fluids. In this paper, three different multiphase models based on the lattice Boltzmann method (LBM) are discussed, in order to assess the capability of the method to deal with multiphase flows on a wide spectrum of operating conditions and multiphase phenomena. In particular, the range of application of each method is highlighted and its effectiveness is qualitatively assessed through comparison with numerical and experimental literature data.

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PACS: 47.11.-j, 47.65.Cb
Key words: Lattice Boltzmann, multiphase flows.

*Corresponding author.
Email: (G. Falcucci), (S. Ubertini), (C. Biscarini), (S. Di Francesco), (D. Chiappini), (A. De Maio), (S. Succi)

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