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The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sat, 09 Nov 2024 12:58:15 GMT2024-11-09T12:58:15ZLattice Boltzmann method for miscible gases: A forcing-term approach
http://hdl.handle.net/10985/19695
Lattice Boltzmann method for miscible gases: A forcing-term approach
VIENNE, Lucien; MARIÉ, Simon; GRASSO, Francesco
A lattice Boltzmann method for miscible gases is presented. In this model, the standard lattice Boltzmann method is employed for each species composing the mixture. Diffusion interaction among species is taken into account by means of a force derived from kinetic theory of gases. Transport coefficients expressions are recovered from the kinetic theory. Species with dissimilar molar masses are simulated by also introducing a force. Finally, mixing dynamics is recovered as shown in different applications: an equimolar counterdiffusion case, Loschmidt's tube experiment, and an opposed jets flow simulation. Since collision is not altered, the present method can easily be introduced in any other lattice Boltzmann algorithms.
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/10985/196952019-01-01T00:00:00ZVIENNE, LucienMARIÉ, SimonGRASSO, FrancescoA lattice Boltzmann method for miscible gases is presented. In this model, the standard lattice Boltzmann method is employed for each species composing the mixture. Diffusion interaction among species is taken into account by means of a force derived from kinetic theory of gases. Transport coefficients expressions are recovered from the kinetic theory. Species with dissimilar molar masses are simulated by also introducing a force. Finally, mixing dynamics is recovered as shown in different applications: an equimolar counterdiffusion case, Loschmidt's tube experiment, and an opposed jets flow simulation. Since collision is not altered, the present method can easily be introduced in any other lattice Boltzmann algorithms.Simulation of Viscous Fingering Instability by the Lattice Boltzmann Method
http://hdl.handle.net/10985/19696
Simulation of Viscous Fingering Instability by the Lattice Boltzmann Method
VIENNE, Lucien; MARIE, Simon; GRASSO, Francesco
The viscous fingering instability is successfully simulated within a lattice Boltzmann framework. Each species of the mixture is governed by its own kinetic equation and a force takes into account the diffusion between species. The influence of the porous medium is mimicked by using the gray lattice Boltzmann model or the Brinkman force model. In this study, both representations of the porous medium yield equivalent results. Then a physical analysis of the instability is performed and two different dynamical behaviour are stated and discussed. Finally, it is observed that a high Péclet number intensify the instability and the viscous dissipation stemming from the Darcy-Brinkman equations delay the development of the fingers in the case of large effective viscosity.
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/10985/196962019-01-01T00:00:00ZVIENNE, LucienMARIE, SimonGRASSO, FrancescoThe viscous fingering instability is successfully simulated within a lattice Boltzmann framework. Each species of the mixture is governed by its own kinetic equation and a force takes into account the diffusion between species. The influence of the porous medium is mimicked by using the gray lattice Boltzmann model or the Brinkman force model. In this study, both representations of the porous medium yield equivalent results. Then a physical analysis of the instability is performed and two different dynamical behaviour are stated and discussed. Finally, it is observed that a high Péclet number intensify the instability and the viscous dissipation stemming from the Darcy-Brinkman equations delay the development of the fingers in the case of large effective viscosity.