对于波动的纳维埃-斯托克斯方程,整数格子气体与采样碰撞运算符.
Noah Seekins1, Alexander J Wagner1
1North Dakota State University, Department of Physics, Fargo, North Dakota 58108, USA.
Physical review. E
|November 18, 2025
概括
整数格子气体方法为格子博尔兹曼方法提供了替代方案,保留了影响散装粘度的相关性. 一个新的采样碰撞操作器提高了计算效率.
科学领域:
- 计算物理学的计算物理.
- 流体动力学 流体动力学
背景情况:
- 格子博尔茨曼方法被广泛用于流体动力学模拟.
- 整数格子气体方法提供了一个具有独特特性的潜在替代方案.
研究的目的:
- 为了评估一个维的布洛梅尔整数格子气体作为格子博尔兹曼方法的替代方案.
- 分析整数格子气体对流体特性 (如散装粘度) 的相关关系的影响.
主要方法:
- 将一维的布洛梅尔整数格子气体与热格子博尔兹曼方法进行比较.
- 对衰变正弦波的分析,以研究体积粘度依赖于相关性.
- 引入采样碰撞操作员以提高计算效率.
主要成果:
- 一维的布洛梅尔整数格子气体与热格子的博尔兹曼极限非常接近.
- 整数格子气体表现出额外的相关性,排除了明确的博尔兹曼极限.
- 散装粘度可以显著地受到波兹曼极限之外的这些相关性的影响.
结论:
- 整数格子气体方法是格子博尔兹曼方法的一个有希望的替代方案.
- 在整数格子气体中存在的相关性为特定模拟提供了独特的优势.
- 开发的采样碰撞操作器提高了计算效率,使整数格子气体方法具有竞争力.
相关概念视频
01:28Navier–Stokes Equations
2.1K
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
2.1K
01:25Poisson's And Laplace's Equation
4.1K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
4.1K
01:10Van der Waals Equation
6.1K
The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
6.1K
01:07Laminar and Turbulent Flow
10.5K
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...
10.5K
01:20Maxwell-Boltzmann Distribution: Problem Solving
2.8K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
2.8K
01:17Steady, Laminar Flow Between Parallel Plates
771
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
771