Thermodynamically consistent versions of approximations used in modelling moist air
Thermodynamically consistent versions of approximations used in modelling moist air
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用于模拟潮湿空气的热力学一致近似版本
DOI：
10.1002/qj.4353
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发表时间：
2022
影响因子：
8.9
通讯作者：
O. Guba
中科院分区：
文献类型：
--
作者：
C. Eldred;M. Taylor;O. Guba
一些现有的方法来模拟湿空气的热力学近似破坏热力学的一致性，使得所得的热力学不遵守第一和第二定律或具有其他不一致性。最近，有人提出了一种避免这种不一致的方法：使用热力学势的自然变量，所有的热力学量和关系（状态方程）都是从热力学势导出的。在这篇文章中，我们开发了这种方法用于未近似的湿空气热力学和两个广泛使用的近似：常数-κ$ \kappa $$近似和干热容量近似。（相容的）常数-κ$ \kappa $$近似特别有吸引力，因为它导致，通过适当选择热力学变量，绝热动力学只依赖于总质量，而不依赖于水形式之间的分解。此外，各种各样的材料从不同的来源在文献中的热力学在大气建模汇集在一起。希望这篇文章提供了一个全面的参考使用的热力学势在大气模拟，特别是对于这里考虑的三个系统。
Some existing approaches to modelling the thermodynamics of moist air make approximations that break thermodynamic consistency, such that the resulting thermodynamics does not obey the first and second laws or has other inconsistencies. Recently, an approach to avoid such inconsistency has been suggested: the use of thermodynamic potentials in terms of their natural variables, from which all thermodynamic quantities and relationships (equations of state) are derived. In this article, we develop this approach for unapproximated moist‐air thermodynamics and two widely used approximations: the constant‐ κ$$ \kappa $$ approximation and the dry heat capacities approximation. The (consistent) constant‐ κ$$ \kappa $$ approximation is particularly attractive because it leads to, with the appropriate choice of thermodynamic variable, adiabatic dynamics that depend only on total mass and are independent of the breakdown between water forms. Additionally, a wide variety of material from different sources in the literature on thermodynamics in atmospheric modelling is brought together. It is hoped that this article provides a comprehensive reference for the use of thermodynamic potentials in atmospheric modelling, especially for the three systems considered here.
影响因子：
6.8
作者：
Lauritzen, P. H.;Nair, R. D.;Tribbia, J. J.
通讯作者：
Tribbia, J. J.
使用内能作为热力学势的大气模型中一致且灵活的热力学。
影响因子：
8.9
作者：
Bowen P
通讯作者：
Bowen P