格子博尔茨曼法的热平衡:水力动力学和数值属性
1Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
Physical review. E
|September 19, 2023
概括
热格子博尔兹曼框架为流体动力学模拟提供无条件的线性稳定性. 这种新的方法通过最小化离散函数来增强解决器属性,提高了数值准确性.
科学领域:
- 计算流体动力学的流体动力学.
- 热力学是一种热力学.
- 数字分析 数字分析
背景情况:
- 格博尔兹曼 (eLB) 框架通过最小化离散函数来构建平衡.
- 这种平衡对溶解器属性的影响是正在进行的研究和讨论的主题.
研究的目的:
- 严格分析网格博尔茨曼法中的热平衡的水力动力学和数值学.
- 与传统方法相比,证明平衡的无条件线性稳定性.
主要方法:
- 对平衡的水力动力学和数学的分析.
- 研究维持无条件线性稳定性的机制,包括自适应的传播速度和正确的消散率.
- 开发局部校正以减轻有效散装粘度的偏差.
主要成果:
- 平衡证明了无条件的线性稳定性,比传统的多项式平衡显著改善.
- 稳定性的关键机制包括正常模式的自适应传播速度和水力动力学自身模式的正确定义的消散速率.
- 一个简单的局部校正有效地减少了计算的有效散装粘度的偏差.
结论:
- 平衡为格子博尔兹曼解法器提供了一个强大的和无条件的线性稳定框架.
- 了解稳定性的基本机制为改善流体模拟中的数值准确性和可靠性提供了洞察力.
- 拟议的局部校正提供了一种实用方法,可以在这个框架内提高批量粘度计算的准确性.
更多相关视频
06:37Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
Published on: September 17, 2021
4.5K
10:52Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
Published on: April 12, 2019
12.8K
相关概念视频
02:54Trends in Lattice Energy: Ion Size and Charge
24.0K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
24.0K
01:10Van der Waals Equation
4.2K
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...
4.2K
01:17Steady, Laminar Flow Between Parallel Plates
222
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.
222
02:44The Born-Haber Cycle
22.0K
Lattice Energy
22.0K
01:23Equilibrium Conditions for a Particle
1.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.2K
02:35Clausius-Clapeyron Equation
57.0K
The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
57.0K