质量校正方法,以减少滴滴自发收缩在基于自由能量的格子博尔兹曼法方法
Cheng Peng1, Xuming Li1, Chunhua Zhang2,3
1Shandong University, Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Jinan 250061, Shandong, China.
Physical review. E
|August 1, 2025
概括
研究人员开发了一种质量校正方法,以防止在基于自由能量的格子博尔兹曼模拟中自发的滴滴收缩. 这种技术提高了局部质量保护,保持滴滴体积,而不会影响模拟稳定性或准确性.
科学领域:
- 计算流体动力学 计算流体动力学
- 多相流量模拟多相流量模拟
- 热力学是一种热力学.
背景情况:
- 基于自由能量的格子博尔茨曼法 (LBM) 对多相流程有效.
- 自发的滴滴收缩阻碍了小滴滴相互作用的LBM模拟.
- 现有的相场理论分析并不能完全解决这个收缩问题.
研究的目的:
- 调查基于自由能量的LBM中自发滴滴收缩的原因.
- 在LBM模拟中开发一种用于减轻液滴收缩的新方法.
- 在多相流模拟过程中确保本地和全球质量保护.
主要方法:
- 在格子博尔兹曼方程框架内对自发滴滴收缩的分析.
- 引入一个质量校正术语 (拉普拉斯) 来解决局部密度演变.
- 在三维多相流场景中对拟议的校正进行数值测试.
主要成果:
- 确定了持续的局部密度演变后平衡作为收缩的原因.
- 拟议的质量校正有效地减轻了自发的滴滴收缩.
- 滴滴体积保持在不影响数值稳定性,质量保存或速度演变的情况下.
结论:
- 这种新的质量校正方法成功地解决了基于自由能量的LBM中的自发滴滴收缩.
- 这一进步提高了LBM模拟小滴滴动态的可靠性.
- 该方法可确保准确和稳定的模拟涉及滴滴的多相流.
相关概念视频
02:54Trends in Lattice Energy: Ion Size and Charge
24.3K
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:
24.3K
01:20Maxwell-Boltzmann Distribution: Problem Solving
1.7K
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
1.7K
04:01Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
35.4K
Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
35.4K
01:27Distribution of Molecular Speeds
4.2K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.2K
01:10Van der Waals Equation
4.6K
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...
4.6K
02:44The Born-Haber Cycle
22.3K
Lattice Energy
22.3K