,
, Despite that the derivation is rigorously correct only for dilute gases, we could to a certain extent apply these results to liquids and dense gases by means of the Eyring and Enskog theories
Mass-conserving advection-diffusion lattice Boltzmann model for multi-species reacting flows, Phys. A, vol.499, p.40, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01947478
, The Lattice Boltzmann Method, Principles and Practice, 2017.
A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev, vol.94, p.511, 1954. ,
Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures, Phys. Rev. E, vol.67, p.36302, 2003. ,
Kinetic modeling of gas mixtures, Phys. Fluids, vol.5, p.908, 1962. ,
Lattice Boltzmann method for continuum, multi-component mass diffusion in complex 2D geometries, J. Phys. D, vol.40, p.2961, 2007. ,
A multi-component lattice Boltzmann method in consistent with Stefan-Maxwell equations: Derivation, validation and application in porous medium, Comput. Fluids, vol.105, p.155, 2014. ,
Semi-implicit-linearized multiple-relaxation-time formulation of lattice Boltzmann schemes for mixture modeling, Phys. Rev. E, vol.73, p.56705, 2006. ,
A consistent lattice Boltzmann equation with baroclinic coupling for mixtures, J. Comput. Phys, vol.227, p.3878, 2008. ,
Kinetic model for binary gas mixtures, Phys. Fluids, vol.8, p.418, 1965. ,
BGK models for diffusion in isothermal binary fluid systems, Phys. A, vol.299, p.494, 2001. ,
Lattice Boltzmann model for the simulation of multicomponent mixtures, Phys. Rev. E, vol.76, p.46703, 2007. ,
Thermal multicomponent lattice Boltzmann model for catalytic reactive flows, Phys. Rev. E, vol.89, p.63310, 2014. ,
Multiple-relaxation-time lattice Boltzmann scheme for homogeneous mixture flows with external force, Phys. Rev. E, vol.77, p.56706, 2008. ,
A consistent BGK-type model for gas mixtures, J. Stat. Phys, vol.106, p.993, 2002. ,
URL : https://hal.archives-ouvertes.fr/inria-00072389
Lattice Boltzmann scheme for mixture modeling: Analysis of the continuum diffusion regimes recovering Maxwell-Stefan model and incompressible Navier-Stokes equations, Phys. Rev. E, vol.80, p.56701, 2009. ,
A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip, Int. J. Numer. Methods Fluids, vol.69, p.171, 2011. ,
A robust lattice Boltzmann method for parallel simulations of multicomponent flows in complex geometries, Comput. Fluids, vol.153, p.20, 2017. ,
Lattice Boltzmann scheme for electrolytes by an extended Maxwell-Stefan approach, Phys. Rev. E, vol.89, p.53310, 2014. ,
, Molecular Theory of Gases and Liquids, 1964.
Toward a unified theory of isotropic molecular transport phenomena, AIChE J, vol.51, p.79, 2004. ,
Multiple relaxation time lattice Boltzmann models in three dimensions, Philos. Trans. R. Soc. London A, vol.360, p.437, 2002. ,
Entropic Lattice Boltzmann Models for Hydrodynamics in Three Dimensions, Phys. Rev. Lett, vol.97, p.10201, 2006. ,
Lattice Boltzmann method with regularized pre-collision distribution functions, Math. Comput. Sim, vol.72, p.165, 2006. ,
The cumulant lattice Boltzmann equation in three dimensions: Theory and validation, Comput. Math. Appl, vol.70, p.507, 2015. ,
Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E, vol.65, p.46308, 2002. ,
On the dynamical theory of gases, Philos. Trans. R. Soc. London, vol.157, p.49, 1867. ,
, The Mathematical Theory of Non-uniform Gases, 1970.
A viscosity equation for gas mixtures, J. Chem. Phys, vol.18, p.517, 1950. ,
Lattice Boltzmann methods for binary mixtures with different molecular weights, Phys. Rev. E, vol.71, p.46704, 2005. ,
Introducing a variable speed of sound in single-component lattice Boltzmann simulations of isothermal fluid flows, Comput. Fluids, vol.167, p.129, 2018. ,
Investigation of a lattice Boltzmann model with a variable speed of sound, J. Phys. A, vol.39, p.13807, 2006. ,
Unsteady diffusion in ternary gas mixtures, AIChE J, vol.13, p.909, 1967. ,
An experimental study of three component gas diffusion, AIChE J, vol.8, p.38, 1962. ,
, Multicomponent Mass Transfer, 1993.
Uphill diffusion in multicomponent mixtures, Chem. Soc. Rev, vol.44, p.2812, 2015. ,