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arXiv 2609.01444physics.flu-dyn

基于前驱膜模型的薄膜润湿/去润湿的宏观模拟

Macroscopic simulations of thin film wetting/dewetting using a precursor film model

Xi-Hu Wu, Zhuo Long, Xue-Li Wang, Peng Gao

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中文总结 AI 辅助

针对动态润湿模拟的移动接触线多尺度挑战,提出结合润滑方程与前驱膜模型的有限元方法,降低接触线空间分辨率要求,通过液滴等模拟验证其准确性与计算优势。

中文摘要 AI 辅助

由于移动接触线的多尺度特性,动态润湿过程的数值模拟仍具有挑战性。本文在润滑方程和前驱膜模型的框架内,提出了一种针对二维或三维动态润湿问题的有限元方法。通过重构分离压力公式,实现了介观前驱膜模型,使相对较厚的前驱膜能够再现物理上较薄的前驱膜的中间区域界面行为。该模型降低了接触线附近对过高空间分辨率的要求,从而在保留宏观流动动力学的同时显著降低了计算成本。该方法不包含任何移动边界,可轻松处理拓扑变化。其能力和准确性通过多种模拟得到验证,包括液滴的铺展、回缩、滑动和聚并,以及液脊的破裂。采用介观前驱膜模型的数值结果与现有精确解和渐近理论吻合良好。

英文摘要

Numerical simulation of dynamic wetting processes remains challenging due to the multiscale feature of the moving contact line. This paper presents a finite element method for two- or three-dimensional dynamic wetting problems within the framework of the lubrication equation and the precursor film model. By reconstructing the disjoining pressure formulation, a mesoscopic precursor film model is implemented to enable a relatively thick precursor film to reproduce the intermediate-region interfacial behavior of a physically thin precursor film. The proposed model reduces the requirement for excessive spatial resolution near the contact line, thereby significantly reducing the computational cost while preserving the macroscopic flow dynamics. This method does not incorporate any moving boundary and easily handles topological changes. Its capability and accuracy are validated through various simulations, including the spreading, retraction, sliding, and coalescence of drops, as well as the breakup of liquid ridges. Numerical results (with the mesoscopic precursor film model adopted) show good agreement with the available exact solutions and asymptotic theories.

发表机构

  • State Key Laboratory of High Temperature Gas Dynamics, School of Engineering Science, University of Science and Technology of China(中国科学技术大学工程科学学院高温气体动力学国家重点实验室)

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