Lattice Boltzmann Models with Mid-Range Interactions
Giacomo Falcucci 1, Gino Bella 2, Giancarlo Chiatti 1, Sergio Chibbaro 3, Mauro Sbragaglia 4, Sauro Succi 5*1 Department of Mechanical and Industrial Engineering, University of "Roma Tre", Via della Vasca Navale 79 00146 Rome, Italy.
2 Department of Mechanical Engineering, University of Tor Vergata, Viale Politecnico, Rome, Italy.
3 Department of Mechanical Engineering, University of "Tor Vergata", Viale Politecnico, Rome, Italy / Istituto Applicazioni Calcolo, CNR, V.le del Policlinico 137, 00161, Rome, Italy.
4 Faculty of Applied Sciences, Impact and Burgerscentrum, University of Twente, P.O. Box 217, AE 7500 Enschede, The Netherlands.
5 Istituto Applicazioni Calcolo, CNR, V.le del Policlinico 137, 00161, Rome, Italy.
Received 27 November 2006; Accepted (in revised version) 12 February 2007
Available online 15 June 2007
An extension of the standard Shan-Chen model for non ideal-fluids, catering for mid-range, soft-core and hard-core repulsion, is investigated. It is shown that the inclusion of such mid-range interactions does not yield any visible enhancement of the density jump across the dense and light phases. Such an enhancement can however be obtained by tuning the exponents of the effective interaction. The results also indicate that the inclusion of soft-core repulsion can prevent the coalescence of neighborhood bubbles, thereby opening the possibility of tailoring the size of multi-droplet configurations, such as sprays and related phase-separating fluids.
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PACS: 47.51.+a, 47.45.Ab
Key words: Lattice-Boltzmann, pseudopotential, phase-separation.
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