发表机构
ETH Zurich（苏黎世联邦理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究为硬球玻尔兹曼方程推导出应力与热流产生的精确非线性碰撞顶点，通过厄米特层级重求和得到通用张量定律，并经DSMC测试验证，无需有限矩闭合。
AI 中文摘要
对于硬球玻尔兹曼方程，我们推导出一个精确的非线性生成顶点，用于碰撞应力与热流产生。完整的双输入厄米特层级对于应力重求和为一个通用无迹张量乘以一个标量径向定律，而热流顶点则通过精确收缩由同一定律得出。泰勒微分产生具有精确应力与热流分级的通用双线性碰撞张量，无需有限矩闭合。DSMC测试，包括壁驱动流动和双峰马赫5激波，恢复了独立采样的玻尔兹曼产生项及预测的收敛性，而收敛的产生项独立于用于其厄米特表示的热高斯尾部。
英文摘要
For the hard-sphere Boltzmann equation, we derive an exact nonlinear generating vertex for collisional stress and heat-flux production. The complete two-input Hermite hierarchy for stress resums to a universal traceless tensor times one scalar radial law, while the heat-flux vertex follows from the same law by an exact contraction. Taylor differentiation yields universal bilinear collision tensors with exact stress and heat-flux gradings, without a finite moment closure. DSMC tests, including wall-driven flows and a bimodal Mach-5 shock, recover independently sampled Boltzmann productions and the predicted convergence, while the converged production is independent of the thermal Gaussian foot used for its Hermite representation.
Comments5 pp., 1 fig
