论文标题
CFD的时空前景：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
论文作者
论文摘要
提倡对计算流体动力学的时空前景：流体力学中的模型通常具有时空相关属性，应在相应的数值算法中遗传和保存。从连续假设下的流体力学的基本制定开始，本文定义了模型的时空相关性的含义，建立了有限体积方案的基本原理，阐述了算法的时空割法的必要性，以及实现了基本的综合体积和量化机制的物理统一和数学统一。在实践中，提出了时空耦合高阶数值算法的设计方法，并比较了时空脱钩方法的差异。应该指出的是，本文中的大多数内容适用于在连续培养基的假设下适用于计算流体动力学，而有些仅适用于可压缩流。
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.
