| 講演要旨： |
Mixture modeling is important in many practical applications, such as chemical reactions, pollutant dispersion and combustion. The Lattice Boltzmann Method (LBM) is considered a promising tool for solving equations governing mixing phenomena because its intrinsic microscopic formulation seems to naturally deal with interactions among constituent fluid particles, at least as far as simplified kinetic model equations are concerned. Unfortunately there is considerably more latitude in the design of a simplified kinetic model equation in the case of a mixture than for a pure gas. For this reason, the consistency of the physical model (at microscopic level and consequently at macroscopic level) should be one of the key concept leading the design process.
In this talk, some popular simplified kinetic model equations for multi-species single-phase mixtures will be reviewed with regards to consistency (1). A numerical LBM scheme will be discussed in detail, as well as some practical details dealing with Multiple Relaxation Time (MRT) formulation, different particle masses and high Schmidt numbers (2). The diffusion process will be discussed also at macroscopic level by comparing Stefan-Maxwell / Fick models and active / passive scalar approaches (3). In addition to the usual explicit LBM formulation, other discretization strategies, such as semi-implicit linearized backward Euler and Crank-Nicolson, will be analyzed (4). Finally, some brief numerical results concerning reactive mixtures in Solid Oxide Fuel Cells (SOFC) and Direct Numerical Simulation (DNS) of decaying homogenous isotropic turbulence of mixtures will be reported (5).
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