移动接触线和动态润湿问题在自然界和工业中广泛存在，是诸多自然现象和应用技术的核心影响因素。由于移动接触线问题的多尺度性，现有数值手段难以实现真实物理条件下宏观动态润湿问题的模拟，而接触线基本理论的完备性和精确性仍未解决。本项目拟建立完整的移动接触线理论，发展接触线动力学模型和数值计算相结合的高效算法，实现典型动态润湿问题的可靠模拟。具体研究内容包括：（1）基于边界元法，发展动态润湿问题的全尺度数值模拟方法，揭示接触线局部的精细流场信息；（2）拓展现有移动接触线理论的适用范围，利用数值模拟辅助改进接触线理论的精度；（3）发展严格的接触线宏观计算模型，与边界元方法结合，实现动态润湿问题的高效计算；（4）综合采用直接数值模拟和高效耦合算法，系统研究快速润湿、三维润湿等复杂移动接触线问题。相关成果可加深对移动接触线问题的认识，为涂层、光刻等应用中的流体界面形态控制提供数值工具和理论指导。

Moving contact lines and dynamic wetting are ubiquitous in nature and industry, and are central to many natural phenomena and applications. Due to the multi-scale nature of the moving contact line problem, the existing numerical methods are difficult to achieve large-scale simulation of macroscopic dynamic wetting problems under real physical conditions, and the completeness and accuracy of the fundamental theory of contact lines have not been solved. This project intends to establish a comprehensive theory of moving contact lines, to develop an efficient algorithm combining contact-line theory and numerical simulation, and to achieve a reliable simulation of typical dynamic wetting problems. The specific research contents include: (1) Based on the boundary-element method, we develop a full-scale simulation method for dynamic wetting, and resolve the detailed flow field near the contact line; (2) expanding the applicable range of the previous contact-line theory, and improving its accuracy via numerical simulations; (3) presenting a stringent contact-line model for macroscopic calculation, and coupling with boundary element method to realize efficient simulations of dynamic wetting; (4) performing comprehensive calculations of rapid wetting and 3D wetting problems via direct numerical simulations or method with contact-line models. The corresponding results can deepen the understanding of moving contact line problems and provide numerical tools and theoretical guidance for the control of fluid interface morphology in coating, lithography and other applications.