Related Experiment Video
Updated: Jan 6, 2026
10:12
Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
Published on: June 12, 2015
9.5K
Improved three-dimensional color-gradient lattice Boltzmann model for immiscible two-phase flows.
1School of Energy Science and Engineering, Central South University, Changsha 410083, China.
Physical Review. E
|October 3, 2019
Summary
This study introduces an improved three-dimensional color-gradient lattice Boltzmann (LB) model for simulating two-phase flows. The enhanced model reduces numerical errors and improves Galilean invariance, leading to more accurate simulations of complex fluid dynamics.
Area of Science:
- Computational fluid dynamics
- Fluid mechanics
- Numerical analysis
Background:
- Lattice Boltzmann (LB) models are widely used for simulating fluid flows.
- Previous three-dimensional color-gradient LB models exhibited limitations in Galilean invariance and numerical accuracy.
- Error terms in recovered macroscopic equations contributed to inaccuracies in prior models.
Purpose of the Study:
- To propose an improved three-dimensional color-gradient lattice Boltzmann model.
- To enhance Galilean invariance and numerical accuracy in simulating immiscible two-phase flows.
- To address limitations of existing color-gradient LB models.
Main Methods:
- Development of an improved three-dimensional color-gradient lattice Boltzmann model.
- Elimination of error terms in recovered macroscopic equations.
- Numerical simulations including a moving droplet test, layered two-phase flow, Rayleigh-Taylor instability, and droplet impact on a solid surface.
Main Results:
- The improved model demonstrates enhanced Galilean invariance, verified by a moving droplet simulation.
- Significant improvements in numerical accuracy were observed compared to previous models.
- The model successfully simulated dynamic two-phase flows with large density ratios, such as droplet impact.
Conclusions:
- The proposed three-dimensional color-gradient LB model offers superior numerical accuracy and Galilean invariance.
- The enhanced model is capable of simulating complex dynamic two-phase flows, including those with significant density variations.
- This advancement provides a more reliable tool for computational fluid dynamics research.
Related Concept Videos
01:34The Fluid Mosaic Model
176.1K
The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
176.1K
01:07Laminar 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
01:17Steady, Laminar Flow Between Parallel Plates
752
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.
752
01:11Relative Velocity in Two Dimensions
8.8K
Relative velocity is the velocity of an object as observed from a particular reference frame, or the velocity of one reference frame with respect to another reference frame. The concept of relative velocity can be used to describe motion in two dimensions. Consider a particle P and two reference frames S and S′. The position of the origin of S′ as measured in S is , the position of P as measured in S′ is , and the position of P as measured in S is , which can be evaluated by utilizing...
8.8K
01:27Uniform Depth Channel Flow
509
Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
509
02:54Trends in Lattice Energy: Ion Size and Charge
26.4K
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:
26.4K