CFD的时空观：时空相关模型和时空耦合算法
A spacetime outlook on CFD: Spacetime correlated models and spacetime coupled algorithms
摘要：
提出了计算流体动力学的时空观：流体力学中的模型往往具有时空相关性，在相应的数值算法中应继承和保持这种时空相关性。从连续介质假设下流体力学的基本表述出发，定义了模型的时空相关性的含义，确立了有限体积格式的基本原理，阐述了算法时空耦合的必要性，实现了流体力学基本控制方程与有限体积格式在物理和数学上的统一。在实践中，给出了时空耦合高阶数值算法的设计方法，并比较了与时空解耦方法的差异。需要指出的是，本文的大部分内容适用于连续介质假设下的计算流体动力学，有些只适用于可压缩流动。
英文摘要：
A spacetime outlook on Computational Fluid Dynamics is advocated: models in fluid mechanics often have the spacetime correlation property, which should be inherited and preserved in the corresponding numerical algorithms. Starting from the fundamental formulation of fluid mechanics under continuum hypothesis, this paper defines the meaning of spacetime correlation of the models, establishes the fundamental principle of finite volume schemes, expounds the necessity of spacetime coupling of algorithms, as well as realizes the physical and mathematical unification of basic governing equations of fluid mechanics and finite volume schemes. In practice, the design methodology of spacetime coupling high order numerical algorithms is presented, and the difference from spacetime decoupling method is compared. It should be pointed out that most of the contents in this paper are suitable for computational fluid dynamics under the assumption of continuous medium, and some are only suitable for compressible flow.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
