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arXiv 2607.16670physics.flu-dynmath-phmath.MP

一种用于复杂表面上液滴动力学的具有物理规定参数的光滑粒子流体动力学模型

An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces

Zhonghua Qiao, Yifan Wei, Xianmin Xu

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中文总结 AI 辅助

研究复杂表面上液滴动力学,开发基于物理的SPH模型,采用单相建模策略,通过核函数和压力处理界面相互作用,建立势能与表面张力系数关系,经模拟验证可有效捕捉复杂动态润湿行为。

中文摘要 AI 辅助

具有不同润湿性的复杂表面上液滴动力学的数值模拟对工程应用和基础研究都具有重要意义。然而,现有数值方法在准确捕捉界面相互作用同时保持物理一致性和计算效率方面仍面临挑战。本文开发了一种基于物理且高效的光滑粒子流体动力学(SPH)模型用于液滴动力学模拟。采用单相液滴建模策略降低计算成本,在界面处用SPH核函数近似长程相互作用、压力表示短程相互作用,并建立分子间势能与宏观表面张力系数的明确关系以减少对经验参数校准的依赖。该方法先通过静态润湿模拟验证,平衡接触角与杨氏 - 杜普雷方程吻合良好,进一步的润湿和液滴冲击模拟表明该方法能够捕捉复杂动态润湿行为。

英文摘要

Numerical simulation of droplet dynamics on complex surfaces with varying wettability is of great significance to both engineering applications and fundamental research. However, existing numerical methods still face challenges in accurately capturing interfacial interactions while preserving physical consistency and computational efficiency. In this work, a physically grounded and efficient smoothed particle hydrodynamics (SPH) model is developed for droplet dynamics simulation. To reduce computational cost, a single-phase droplet modeling strategy is employed. At the interface, long-range interactions are approximated using the SPH kernel function, whereas short-range interactions are represented through pressure. Based on this treatment, an explicit relationship between the intermolecular potential energy and the macroscopic surface tension coefficient is further established, thereby reducing reliance on empirical parameter calibration. The proposed method is first validated through static wetting simulations, where the equilibrium contact angles agree well with the Young--Dupré equation. Further simulations of wetting and droplet impact demonstrate that the method is capable of capturing complex dynamic wetting behaviors.

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