Application of high-order lattice Boltzmann pseudopotential models

Area of Science:

• Computational fluid dynamics
• Multiphase flow modeling
• Scientific computing

Background:

• Higher-order lattice Boltzmann (LB) pseudopotential models offer flexibility and parallelizability for complex fluid dynamics.
• However, the discrete nature of LB models obscures fundamental properties like diffusion coefficients and contact angles.
• This limits their application in simulating multicomponent flows.

Purpose of the Study:

• To derive general continuum solutions for diffusion coefficients and contact angles in higher-order LB pseudopotential models.
• To validate these solutions against established theoretical frameworks.
• To demonstrate the capability of these models in accurately simulating binary mixtures and various contact angles.

Main Methods:

• Derivation of continuum solutions for diffusion coefficient and contact angle.
• Validation against known theoretical results.
• Analysis of binary miscible mixture decay and droplet shapes for neutral, hydrophobic, and hydrophilic interactions.

Main Results:

• General continuum solutions for diffusion coefficient and contact angle were successfully derived.
• The derived solutions show favorable agreement with existing theoretical predictions.
• Higher-order LB models accurately reproduced sinusoidal decay of binary mixtures and various contact angles, capturing discrete differences.

Conclusions:

• The developed continuum solutions provide practical tools for utilizing higher-order LB pseudopotential models.
• These models can now be reliably applied to simulate multicomponent flows with greater accuracy.
• This work bridges the gap between discrete LB models and continuum fluid dynamics theory.