Equations of state in a lattice Boltzmann model

By P. Yuan, Laura A. Schaefer. 2006

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Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “This is one of the reasons why the spurious currents shown in Yuan and Schaefer’s work [33] are very large at high density ratios.”
Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability (2015, methodology): “d using the non-ideal equation of state pEOS , which is incorporated into the pseudopotential LB model via 22 x 2 pcGcEOS s . In this work, the Peng-Robinson (P-R) equation of state is used [43] 2 EOS 11222 RT aT p bbb , (21) where 2 1 0.37464 1.54226 0.26992 12 TTT c , 0.45724 22 aR”
Pore-scale simulation of multicomponent multiphase reactive transport with dissolution and precipitation (2014, methodology): “It is well known that the spurious currents around the interface increase with the liquid-gas density [31, 32].”
Lattice Boltzmann method for microfluidics: models and applications (2011, background): “Reprinted with permission from Zhang and Kwok (2004a). Copyright 2004 by the American Physical Society Microfluid Nanofluid (2011) 10:1–28 15”
Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios (2013, methodology): “Yuan and Schaefer [39] found, however, that is possible to simulate SCMP flows with a density ratio that can easily reach 1000:1 by using a more accurate EOS, such as the van der Waals, Peng– Robinson, or Carnahan-Starling EOS [40].”