Discrete Boltzmann modeling of Rayleigh-Taylor instability in two-component compressible flows

Abstract

A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI) in two-component compressible flows. Each species has a flexible specific heat ratio and is described by one discrete Boltzmann equation (DBE). Independent discrete velocities are adopted for the two DBEs. The collision and force terms in the DBE account for the molecular collision and external force, respectively. Two types of force terms are exploited. In addition to recovering the modified Navier-Stokes equations in the hydrodynamic limit, the DBM has the capability of capturing detailed nonequilibrium effects. Furthermore, we use the DBM to investigate the dynamic process of the RTI. The invariants of tensors for nonequilibrium effects are presented and studied. For low Reynolds numbers, both global nonequilibrium manifestations and the growth rate of the entropy of mixing show three stages (i.e., the reducing, increasing, and then decreasing trends) in the evolution of the RTI. On the other hand, the early reducing tendency is suppressed and even eliminated for high Reynolds numbers. Relevant physical mechanisms are analyzed and discussed.

References in corpus (6)

• Pancake bouncing on superhydrophobic surfaces
• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Discrete Boltzmann modeling of multiphase flows: hydrodynamic and thermodynamic non-equilibrium effects
• Multiple-relaxation-time lattice Boltzmann kinetic model for combustion
• Molecular Dynamics Simulation of Strong Shock Waves Propagating in Dense Deuterium With the Effect of Excited Electrons
• Kinetic Simulations of Rayleigh-Taylor Instabilities

Cited by in corpus (22)

• Discrete Boltzmann trans-scale modeling of high-speed compressible flows
• Nonequilibrium and morphological characterizations of Kelvin-Helmholtz instability in compressible flows
• Collaboration and Competition Between Richtmyer-Meshkov instability and Rayleigh-Taylor instability
• A phase-field model for large-density-ratio two-phase flows based on discrete unified gas-kinetic scheme
• Discrete Boltzmann method for non-equilibrium flows: based on Shakhov model
• Advances in the kinetics of heat and mass transfer in near-continuous complex flows
• Morphological and non-equilibrium analysis of coupled Rayleigh-Taylor-Kelvin-Helmholtz instability
• Multiple-relaxation-time discrete Boltzmann modeling of multicomponent mixture with nonequilibrium effects
• Discrete Boltzmann modeling of high-speed compressible flows with various depths of non-equilibrium
• Kinetic modeling of multiphase flow based on simplified Enskog equation
• Nonequilibrium effects of reactive flow based on gas kinetic theory
• Discrete Boltzmann modeling of Rayleigh-Taylor instability: effects of interfacial tension, viscosity and heat conductivity
• Viscous effects on morphological and thermodynamic non-equilibrium characterizations of shock-bubble interaction
• Rayleigh-Taylor instability under multi-mode perturbation: discrete Boltzmann modeling with tracers
• Two-fluid discrete Boltzmann model for compressible flows: based on Ellipsoidal Statistical Bhatnagar-Gross-Krook
• Thermodynamic non-equilibrium effects in bubble coalescence: A discrete Boltzmann study
• A simple and efficient kinetic model for wealth distribution with saving propensity effect: based on lattice gas automaton
• A One-Dimensional Discrete Boltzmann Model for Detonation and an Abnormal Detonation Phenomenon
• Comparative study of discrete Boltzmann model and Navier-Stokes
• Specific heat ratio effects of compressible Rayleigh-Taylor instability studied by discrete Boltzmann method
• Delineation of the flow and mixing induced by Rayleigh-Taylor instability through tracers
• Comparative Study on Several Criteria for Non-equilibrium Phase Separation