A new lattice Boltzmann model for reactive ideal gas mixtures is presented. The model is an extension to reactive flows of the recently proposed multi-component lattice Boltzmann model for compressible ideal gas mixtures with Stefan–Maxwell diffusion for species interaction. First, the kinetic model for the Stefan–Maxwell diffusion is enhanced to accommodate a source term accounting for the change in the mixture composition due to chemical reaction. Second, by including the heat of formation in the energy equation, the thermodynamic consistency of the underlying compressible lattice Boltzmann model for momentum and energy allows a realization of the energy and temperature change due to chemical reactions. This obviates the need for ad-hoc modelling with source terms for temperature or heat. Both parts remain consistently coupled through mixture composition, momentum, pressure, energy and enthalpy. The proposed model uses the standard three-dimensional lattices and is validated with a set of benchmarks including laminar burning speed in the hydrogen–air mixture and circular expanding premixed flame.

This article is part of the theme issue ‘Progress in mesoscale methods for fluid dynamics simulation’.

提出了一种新的反应性理想气体混合物的格子玻尔兹曼模型。该模型是最近提出的多组分晶格玻尔兹曼模型的反应流的扩展，该模型适用于可压缩理想气体混合物，并具有用于物种相互作用的 Stefan-Maxwell 扩散。首先，增强了 Stefan-Maxwell 扩散的动力学模型，以适应解释化学反应引起的混合物成分变化的源项。其次，通过在能量方程中包含形成热，底层可压缩晶格玻尔兹曼动量和能量模型的热力学一致性允许实现化学反应引起的能量和温度变化。这样就不需要使用温度或热量的源项进行临时建模。两个部分通过混合物成分、动量、压力、能量和焓保持一致的耦合。所提出的模型使用标准三维晶格，并通过一组基准进行验证，包括氢空气混合物中的层流燃烧速度和圆形膨胀预混合火焰。

本文是主题“流体动力学模拟介尺度方法的进展”的一部分。