适用于具有部分润湿边界条件的非理想气体的谱元格子玻尔兹曼方法

中文摘要 AI 辅助

我们提出了一种用于弯曲几何上部分润湿问题的谱元格子玻尔兹曼方法（LBM）。将非理想气体相场模型纳入LBM框架，以实现具有恒定界面厚度的相分离，并采用表面张力力的势形式。我们采用力分裂方法，显著提升了稳定性和精度。使用通量反弹方案可自然处理复杂边界，该方案解决了相邻单元间法向量的不一致性问题。此外，实现了通用润湿边界条件，以热力学一致的方式捕捉静态接触线。该方法通过对平面表面、2/3维曲面上的液滴以及无边界平衡液滴的模拟进行验证。结果表明，在具有复杂几何的非结构化网格上，寄生电流显著降低，对于润湿构型，残余动能达到10^-24量级；对于孤立液滴，残余动能达到10^-30量级。

英文摘要

We present a spectral element lattice Boltzmann method (LBM) for partial wetting on curved geometries. A non-ideal gas phase-field model is incorporated into the LBM framework to enable phase separation with a constant interface thickness and the potential form of surface tension force is used. We adopt the force-splitting approach, yielding significantly improved stability and accuracy. Complex boundaries are naturally handled using a flux bounce-back scheme, which resolves inconsistencies in normal vectors across adjacent elements. Additionally, a general wetting boundary condition is implemented to capture static contact line in a thermodynamically consistent manner. The method is validated through simulations of droplets on flat surfaces, 2/3-dimensional curved surfaces, and equilibrium droplets without boundaries. Results demonstrate that parasitic currents are significantly reduced on unstructured meshes with complex geometries, reaching residual kinetic energy levels on the order of $10^{-24}$ for wetting configurations and $10^{-30}$ for isolated droplets.

发表机构

• City College of New York（纽约市立学院）
• Argonne National Laboratory（阿贡国家实验室）

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