Abstract
Mathematically, the typical difference of Discrete Boltzmann Model (DBM) from the traditional hydrodynamic one is that the Navier-Stokes (NS) equations are replaced by a discrete Boltzmann equation. But physically, this replacement has a significant gain: a DBM is roughly equivalent to a hydrodynamic model supplemented by a coarse-grained model of the Thermodynamic Non-Equilibrium (TNE) effects, where the hydrodynamic model can be and can also beyond the NS. Via the DBM, it is convenient to perform simulations on systems with flexible Knudsen number. The observations on TNE are being obtaining more applications with time.
Highlights
Compressible flow is frequently referred to as gas dynamics which is the branch of fluid mechanics that deals with flows having significant changes in fluid density
The following several kinds of flows including high Mach number flows with combustion, multiphase flows with phase separation and complex flows with hydrodynamic instability1
discrete Boltzmann model (DBM) presents a convenient way to model and simulate systems with trans-scale Knudsen number
Summary
Compressible flow is frequently referred to as gas dynamics which is the branch of fluid mechanics that deals with flows having significant changes in fluid density. Gases and plasmas, to some extent, the plastic solids under strong shock can be modeled as compressible flows. In the last case, that the strength of material is negligibly smaller than that of the shock. Flows with a Mach number less than 0.3 are usually treated as being incompressible for that the variation of density due to velocity is less than 5% in that case. The forcing and responsive processes inside the system are very complicated. Such a system generally shows pronounced non-equilibrium behaviors
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