Two-fluid discrete Boltzmann model for compressible flows: based on Ellipsoidal Statistical Bhatnagar-Gross-Krook

Abstract

A two-fluid Discrete Boltzmann Model(DBM) for compressible flows based on Ellipsoidal Statistical Bhatnagar-Gross-Krook(ES-BGK) is presented. The model has flexible Prandtl number or specific heat ratio. Mathematically, the model is composed of two coupled Discrete Boltzmann Equations(DBE). Each DBE describes one component of the fluid. Physically, the model is equivalent to a macroscopic fluid model based on Navier-Stokes(NS) equations, and supplemented by a coarse-grained model for thermodynamic non-equilibrium behaviors. To obtain a flexible Prandtl number, a coefficient is introduced in the ellipsoidal statistical distribution function to control the viscosity. To obtain a flexible specific heat ratio, a parameter is introduced in the energy kinetic moments to control the extra degree of freedom. For binary mixture, the correspondence between the macroscopic fluid model and the DBM may be several-to-one. Five typical benchmark tests are used to verify and validate the model. Some interesting non-equilibrium results, which are not available in the NS model or the single-fluid DBM, are presented.

References in corpus (7)

• Pore-scale simulation of multicomponent multiphase reactive transport with dissolution and precipitation
• Shearing active gels close to the isotropic-nematic transition
• A generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg's effect
• Modeling realistic multiphase flows using a non-orthogonal multiple-relaxation-time lattice Boltzmann method
• Multiple-relaxation-time lattice Boltzmann kinetic model for combustion
• A multi-component discrete Boltzmann model for nonequilibrium reactive flows
• Molecular Dynamics Simulation of Strong Shock Waves Propagating in Dense Deuterium With the Effect of Excited Electrons

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• Discrete Boltzmann modeling of detonation: based on the Shakhov model