通过即时气体近似的合成流
Timo Schorlepp1, Katharina Kormann2, Jeremiah Lübke3
1Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA.
Physical review. E
|December 23, 2025
概括
这项研究引入了一种新的方法,用于使用即时气体模型创建合成流场. 这种方法准确地捕捉了流结构,在复制关键统计数据方面表现优于传统模型.
科学领域:
- 流体动力学 流体动力学
- 计算物理 计算物理
- 统计力学 统计力学
背景情况:
- 流的直接数值模拟 (DNS) 在计算上昂贵.
- 需要精确的合成流场来建模欧勒尔和拉格朗的统计数据.
- 现有的模型往往无法代表流至关重要的连贯结构.
研究的目的:
- 开发一种系统,连贯的基于结构的方法,用于采样合成随机场.
- 为DNS提供一个计算可操作的替代品.
- 提高对流的物理理解.
主要方法:
- 提出一种基于实时配置 (实时气体) 叠加的方法.
- 讨论实例组合的采样策略 (有/没有相互作用,包括波动).
- 数字化评估欧勒和拉格朗的统计学.
主要成果:
- 即时气体方法准确地重现了更高阶的欧勒尔和拉格朗的统计数据.
- 即使是一组简单的不相互作用的即时子,没有波动,也与1D Burgers流的DNS结果非常相匹配.
- 与高斯式和日志正常级联模型相比,该方法表现出卓越的性能.
结论:
- 提出的基于连贯结构的实时气体方法是产生现实的合成流场的强大工具.
- 这种方法为研究流提供了一个计算效率高的DNS替代方案.
- 该方法显示了扩展到复杂的流流的潜力,如磁动力学.
相关概念视频
Kinetic Theory of an Ideal Gas
4.6K
A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called...
The number of molecules in one mole is called...
4.6K
Turbulent Flow
630
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
630
Laminar and Turbulent Flow
10.4K
Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the...
10.4K
Energy Conservation and Bernoulli's Equation
10.4K
Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
10.4K
Accelerating Fluids
2.0K
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
2.0K
Bernoulli's Equation
14.9K
In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
14.9K


