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多原子气体的非平衡建模:通用框架与11矩模型

Non-equilibrium modelling of polyatomic gases: generic framework and 11-moment model

Masrakain Ahmad, Anil Kumar, Anirudh Singh Rana

arXiv 2608.24100首次发表:更新:

AI 中文总结

研究人员结合GENERIC与11矩描述构建热力学一致框架,统一RIT与EIT,通过计算氮气激波结构验证其在中等马赫数下的有效性,为多原子气体非平衡行为提供了物理表征。

AI 中文摘要

本研究通过将非平衡可逆-不可逆耦合通用方程(GENERIC)与11矩描述相结合,提出了一种热力学一致的多原子气体建模框架。该公式将理性不可逆热力学(RIT)和扩展不可逆热力学(EIT)统一为单个与GENERIC兼容的结构,通过泊松矩阵和摩擦矩阵的显式构建,确保符合热力学第二定律。模型包含平动温度、内部温度以及温度张量,为多原子气体的非平衡行为提供了结构良好且具有物理意义的表征。熵产生固有非负,所有封闭关系均自然源于热力学原理。作为适用性测试,计算了氮气中的激波结构,针对直接模拟蒙特卡洛(DSMC)模拟和实验,在中等马赫数范围内验证了该框架的有效性。

英文摘要

In this study, we present a thermodynamically consistent framework for modelling polyatomic gases by integrating the \textit{general equation for non-equilibrium reversible-irreversible coupling} (GENERIC) with an 11-moment description. Our formulation unifies \textit{rational irreversible thermodynamics} (RIT) and \textit{extended irreversible thermodynamics} (EIT) into a single GENERIC-compatible structure that guarantees compliance with the second law of thermodynamics through the explicit construction of Poisson and friction matrices. By including translational and internal temperatures, as well as a temperature tensor, the model offers a well-structured and physically meaningful representation of non-equilibrium behavior in polyatomic gases. The entropy production is inherently non-negative, and all closure relations emerge naturally from thermodynamic principles. As a test of applicability, we compute the shock wave structure in nitrogen gas, validating the framework against Direct Simulation Monte Carlo (DSMC) simulations and experiments up to moderate Mach numbers.

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