应用数学和力学2025，Vol.46Issue(10)：1245-1255,11.DOI:10.21656/1000-0887.450175
一种新型混合气体多松弛动理学模型方程及其验证分析
Numerical Evaluation of a Novel Multi-Relaxation Kinetic Model for Gas Mixture Flows
摘要
Abstract
To study the flow mechanism of the gas mixture transport phenomenon in all flow regimes,a multi relaxation collision model equation suitable for gas mixture was developed out of the Boltzmann equation as the basic equation in the gas kinetic theory,and the expression of the collision relaxation frequency pertinent to the DSMC method was established.Then under the framework of the gas kinetic unified algorithm,a multi-compo-nent 1D shock wave structure problem with high particle mass and mole fraction ratios was simulated,and compared with the DSMC results.The comparison shows that,the proposed model equation can simulate the macroscopic parameter changes of the gas mixture and its components in the shock wave,and can analyze the diffusion rules of each component of the gas mixture.The validity and correctness of the multi relaxation model equation were verified.The simulation results indicate that,the diffusion effect of the components with the smallest molecular weight is the most significant,but the effect of other components is relatively small,and the flow non-equilibrium effect mainly comes from the component with the largest molecular weight;the thermal diffusion caused by temperature gradients is more sensitive to molecular mass in shock wave,and the mass dif-fusion caused by component concentration gradients makes components separate,which produces a significant non-equilibrium effect downstream of shock wave.At the same time,the addition of medium-mass molecules in the multi-component mixed gas increases the diffusion of large-mass molecules and magnifies the separation effect.关键词
混合气体/输运特性/气体动理论统一算法/激波结构Key words
gas mixture/transport characteristic/gas kinetic unified algorithm/shock wave structure分类
数理科学引用本文复制引用
彭傲平,吴俊林,李志辉..一种新型混合气体多松弛动理学模型方程及其验证分析[J].应用数学和力学,2025,46(10):1245-1255,11.基金项目
国家自然科学基金(12332013 （）
11902339) （）
