Interaction Pressure Tensor for a class of Multicomponent Lattice Boltzmann models
arXiv:1305.2547 · doi:10.1103/PhysRevE.88.013306
Abstract
We present a theory to obtain the pressure tensor for a class of non-ideal multicomponent lattice Boltzmann models, thus extending the theory presented by Shan (X. Shan, Phys. Rev. E 77, 066702 (2008)) for single component fluids. We obtain the correct form of the pressure tensor directly on the lattice and the resulting equilibrium properties are shown to agree very well with those measured from numerical simulations. Results are compared with those of alternative theories.
arXiv comment7 Pages, 5 figures
References in corpus (16)
- Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
- Lattice Boltzmann Simulation of Non-Ideal Fluids
- Multi-component lattice-Boltzmann model with interparticle interaction
- Generalized Lattice Boltzmann Method with multi-range pseudo-potential
- Mesoscopic modeling of a two-phase flow in the presence of boundaries: the Contact Angle
- Three-Dimensional Multi-Relaxation Time (MRT) Lattice-Boltzmann Models for Multiphase Flow
- Diffusion in a multi-component Lattice Boltzmann Equation model
- Slip flow over structured surfaces with entrapped microbubbles
- From Bijels to Pickering emulsions: a lattice Boltzmann study
- Lattice Boltzmann method with self-consistent thermo-hydrodynamic equilibria
- Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations
- The emergence of supramolecular forces from lattice kinetic models of non ideal fluids: applications to the rheology of soft glassy meterials
- Spinodal Decomposition in Binary Gases
- Continuum Free-Energy formulation for a class of Lattice Boltzmann multiphase models
- Binary Fluids with Long Range Segregating Interaction I: Derivation of Kinetic and Hydrodynamic Equations
- Free Energy Minimizers for a Two--Species Model with Segregation and Liquid-Vapor Transition
Cited by in corpus (22)
- Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
- Third-order analysis of pseudopotential lattice Boltzmann model for multiphase flow
- Sliding drops across alternating hydrophobic and hydrophilic stripes
- Deformation and break-up of viscoelastic droplets in confined shear flow
- Hybrid Lattice Boltzmann/Finite Difference simulations of viscoelastic multicomponent flows in confined geometries
- Mesoscopic model for soft flowing systems with tunable viscosity ratio
- Hydrodynamic behavior of the Pseudo-Potential lattice Boltzmann method for interfacial flows
- A Lattice Boltzmann study of the effects of viscoelasticity on droplet formation in microfluidic cross-junctions
- Fluctuating Multicomponent Lattice Boltzmann Model
- Achieving thermodynamic consistency in a class of free-energy multiphase lattice Boltzmann models
- Effects of thermal fluctuations in the fragmentation of a nano-ligament
- Lattice Boltzmann Simulations of Droplet formation in confined Channels with Thermocapillary flows
- Lattice Boltzmann simulations of droplet dynamics in time-dependent flows
- Sub-Kolmogorov droplet dynamics in isotropic turbulence using a multiscale lattice Boltzmann scheme
- Effects of viscoelasticity on droplet dynamics and break-up in microfluidic T-Junctions: a lattice Boltzmann study
- Structure and Isotropy of Lattice Pressure Tensors for Multi-range Potentials
- On the impact of controlled wall roughness shape on the flow of a soft-material
- Lattice Boltzmann simulations of droplet breakup in confined and time-dependent flows
- Regularized Fluctuating Lattice Boltzmann Model
- Mesoscopic simulation study of wall roughness effects in micro-channel flows of dense emulsions
- Lattice Boltzmann Simulations of Non-Equilibrium Fluctuations in a Non-Ideal Binary Mixture
- Plastic flow of foams and emulsions in a channel