AI 中文总结
研究将伯内特水平离散玻尔兹曼模型扩展到外力作用下的多组分可压缩流，采用高各向同性离散速度集和矩匹配策略，经查普曼-恩斯科格展开验证，并通过五个基准案例验证，该模型能高精度捕捉相关特征。
AI 中文摘要
本工作在高精度离散动力学方法的基本框架上，将伯内特水平离散玻尔兹曼模型从单组分扩展到外力作用下的多组分可压缩流。采用高各向同性的25离散速度集保证数值稳定性和空间对称性，同时开发严格的矩匹配策略构建平衡分布函数和外力项。该模型本质上包含种间质量扩散效应和多组分热力学非平衡行为。查普曼-恩斯科格展开验证了模型在连续极限下能精确恢复外力作用下多组分可压缩流的伯内特水平控制方程。通过五个典型基准案例验证，结果表明所开发的模型在捕捉外力作用下的流体动力学演化和多组分非平衡特征方面具有高精度和鲁棒性。
英文摘要
This work extends the Burnett-level discrete Boltzmann model (DBM) from single-component to multicomponent compressible flows under external forces, building on the fundamental framework of the high-precision discrete kinetic method. A high-isotropy 25-discrete-velocity set is adopted to guarantee numerical stability and spatial symmetry, while a rigorous moment-matching strategy is developed to construct the equilibrium distribution function and external force term. Different from the single-component counterpart, the present model intrinsically incorporates interspecies mass diffusion effects and multi-component thermodynamic nonequilibrium behaviors, which are critical for complex compressible multicomponent systems. The Chapman--Enskog expansion verifies that the proposed model can exactly recover the Burnett-level governing equations for forced multicomponent compressible flows in the continuum limit. Five canonical benchmark cases, including multicomponent mass diffusion, compressible Sod shock tube, thermal Couette flow, Kelvin--Helmholtz instability, and Rayleigh--Taylor instability, are systematically performed. Numerical results demonstrate that the developed Burnett-level multicomponent DBM achieves high accuracy and robustness in capturing both hydrodynamic evolution and multicomponent nonequilibrium characteristics under external forces.
