High-order lattice Boltzmann methods provide an elegant and systematic way to incorporate thermal and compressible effects and represent a promising approach for the study of beyond-hydrodynamics regimes characterized by finite Knudsen numbers. However, the presence of multiple layers makes the definition of boundary conditions non-trivial, since one needs to define the missing information for particle distributions across several boundary layers. In this work we present a thermal extension of a recently proposed non-equilibrium bounce-back boundary condition and compare it against established algorithms by simulating standard benchmarks with wall-bounded flows.

高阶晶格玻尔兹曼方法提供了一种结合热效应和可压缩效应的优雅且系统的方法，并为研究以有限克努森数为特征的超流体力学状态提供了一种有前途的方法。然而，多层的存在使得对边界条件的定义变得不平凡，因为人们需要为跨多个边界层的粒子分布定义缺失的信息。在这项工作中，我们介绍了最近提出的非平衡回弹边界条件的热扩展，并通过模拟边界壁流的标准基准，将其与已建立的算法进行了比较。