V2EX navier-stokes equations

NavierStokes Equations

定义 Definition

纳维斯托克斯方程(组):描述粘性流体(如空气、水)运动的基本方程组,用于刻画速度场与压力随时间和空间的变化,是流体力学与工程计算(如天气预报、空气动力学、管流)中的核心数学模型。(也常讨论不可压/可压形式。)

发音 Pronunciation (IPA)

/nvjr stoks kwenz/

例句 Examples

The NavierStokes equations describe how water flows in a pipe.
纳维斯托克斯方程描述了水在管道中如何流动。

By solving the NavierStokes equations with realistic boundary conditions, researchers can simulate turbulent airflow around an aircraft wing.
通过在真实边界条件下求解纳维斯托克斯方程,研究人员可以模拟飞机机翼周围的湍流气流。

词源 Etymology

该名称来自两位科学家:法国工程师与物理学家 Claude-Louis Navier(纳维) 以及爱尔兰数学家与物理学家 George Gabriel Stokes(斯托克斯)。纳维在19世纪早期提出粘性流体运动的方程形式,斯托克斯随后完善并系统化相关推导与适用情形,因此合称“NavierStokes”。“equations”意为“方(组)”。

相关词 Related Words

文学与著作 Literary Works

  • Fluid Mechanics(Landau & Lifshitz,朗道与栗弗席兹)
  • An Introduction to Fluid Dynamics(G. K. Batchelor,巴彻洛)
  • Computational Fluid Dynamics: The Basics with Applications(John D. Anderson,安德森)
  • Turbulence: The Legacy of A. N. Kolmogorov(U. Frisch,弗里施)
  • Navier(1822)与 Stokes(1845)关于粘性流体运动的经典论文中直接讨论并奠定该方程组形式与应用范围
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