scholarly journals Lattice Boltzmann methods for compressible two-phase flow problems

2020 ◽  
Author(s):  
Philippe Helluy
2011 ◽  
Vol 9 (5) ◽  
pp. 1414-1430 ◽  
Author(s):  
Pablo M. Dupuy ◽  
María Fernandino ◽  
Hugo A. Jakobsen ◽  
Hallvard F. Svendsen

AbstractFree 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.


2002 ◽  
Vol 29 (12) ◽  
pp. 1421-1453 ◽  
Author(s):  
Gábor Házi ◽  
Attila R. Imre ◽  
Gusztáv Mayer ◽  
István Farkas

2020 ◽  
Vol 92 (9) ◽  
pp. 1162-1197
Author(s):  
Zhe Li ◽  
James E. McClure ◽  
Jill Middleton ◽  
Trond Varslot ◽  
Adrian P. Sheppard

Author(s):  
Andreas G. Yiotis ◽  
John Psihogios ◽  
Michael E. Kainourgiakis ◽  
Aggelos Papaioannou ◽  
Athanassios K. Stubos

2009 ◽  
Vol 2009 (06) ◽  
pp. P06014 ◽  
Author(s):  
Pablo M Dupuy ◽  
Maria Fernandino ◽  
Hugo A Jakobsen ◽  
Hallvard F Svendsen

2007 ◽  
Vol 04 (02) ◽  
pp. 299-333 ◽  
Author(s):  
D. ZEIDAN ◽  
A. SLAOUTI ◽  
E. ROMENSKI ◽  
E. F. TORO

We outline an approximate solution for the numerical simulation of two-phase fluid flows with a relative velocity between the two phases. A unified two-phase flow model is proposed for the description of the gas–liquid processes which leads to a system of hyperbolic differential equations in a conservative form. A numerical algorithm based on a splitting approach for the numerical solution of the model is proposed. The associated Riemann problem is solved numerically using Godunov methods of centered-type. Results show the importance of the Riemann problem and of centered schemes in the solution of the two-phase flow problems. In particular, it is demonstrated that the Slope Limiter Centered (SLIC) scheme gives a low numerical dissipation at the contact discontinuities, which makes it suitable for simulations of practical two-phase flow processes.


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