Generalized lattice Boltzmann method with multirange pseudopotential

Abstract

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Internal dynamics and activated processes in soft-glassy materials

“…37,38 The model gives direct access to the hydrodynamical variables: coarse grained hydrodynamical densities are indeed dened for both species r z ¼ X 31,40 However, they give rise only to negative disjoining pressures, i.e. "thin" lms between neighboring droplets cannot be stabilized against rupture (see Fig.…”

Droplet formation in microfluidic cross-junctions

“…38 The pseudo-potential model introduces the nearest-neighboring interaction between fluid particles to describe the intermolecular potential, and the phase separation occurs with a properly chosen potential function. Although significant advances have recently been made, [43][44][45] further improvements are necessary for the pseudo-potential model to minimize spurious velocities at interface and control numerical instability for the flows with low capillary number and viscosity ratio. The free-energy model suffers from the lack of Galilean invariance, 32 although the local conservation of mass and momentum is satisfied.…”

Multiphase lattice Boltzmann simulations for porous media applications

“…Recently, several methods have been developed to alleviate the limitations of the original inter-particle potential model and improve its performance. These techniques include incorporating a realistic equation of state into the model [111,112], increasing the isotropy order of the interactive force [113,114], improving the force scheme [115][116][117][118], and using the Multi-Relaxation Time (MRT) scheme [109,119] instead of the BGK approximation. These techniques have been demonstrated to be effective in reducing the magnitude of spurious velocities, eliminating the unphysical dependence of equilibrium density and interfacial tension on viscosity (relaxation time), and increasing the viscosity and density ratios in simple systems [120][121][122][123][124].…”