Abstract
An efficient, accurate and robust multiple-relaxation-time (MRT) discrete Boltzmann method (DBM) is proposed for compressible exothermic reactive flows, with both specific heat ratio and Prandtl number being flexible. The chemical reaction is coupled with the flow field naturally and the external force is also incorporated. An efficient discrete velocity model which has sixteen discrete velocities (and kinetic moments) is introduced into the DBM. With both hydrodynamic and thermodynamic nonequilibrium effects under consideration, the DBM provides more detailed and accurate information than traditional Navier–Stokes equations. This method is suitable for fluid flows ranging from subsonic, to supersonic and hypersonic ranges. It is validated by various benchmarks.
Highlights
Exothermic reactive flows are commonplace in nature and industry which play significant roles in economic and social development all over the world
We introduce a new form of reaction and force terms, and reduce the 24 kinetic moments to only 16 while the recovery of the NS equations is made as well
We present an MRT discrete Boltzmann method (DBM) for compressible flows, taking both chemical reaction and external force into account
Summary
Exothermic reactive flows are commonplace in nature and industry which play significant roles in economic and social development all over the world. Wide range of Knudsen numbers and various essential nonequilibrium phenomena To describe such complex systems, traditional macroscopic models have the benefit of high computing efficiency, but could not capture detailed information accurately. The traditional LBM usually works as an alternative tool to solve macroscopic equations, such as incompressible Navier–Stokes (NS) equations Various physical quantities, such as flow velocity and temperature, may be described by different sets of the discrete distribution function. A novel variant of LBM, discrete Boltzmann method (DBM), has emerged as an efficient kinetic model to capture both hydrodynamic and thermodynamic nonequilibrium effects in fluid flows [36,37]. Different from traditional LBMs, the DBM employs only one set of discrete distribution function to describe various physical quantities, including the density, temperature, velocity, and other high order kinetic moments, which is in line with the Boltzmann equation.
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