走向现代数学学术报告 - 贺巧琳教授（No. 879)

报告题目：Thermodynamically consistent modeling and simulation of the moving contact line problem in non-isothermal two-phase flows

报告时间：2025年12月15日 9:30

报告地点：东海岸校区-D实209

报 告 人： 贺巧琳 教授（四川大学）

邀 请 人：单丽 副教授

报告摘要： According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable, characterized by the proposed temperature governing equation, rather than being derived from intermediate variables such as total energy density, internal energy density or entropy density. The hydrodynamic boundary conditions, which represent a generalization of the generalized Navier slip boundary condition for non-isothermal flows, are imposed in the proposed model. We then derive the dimensionless form of the model and prove that it rigorously satisfies both the first and second laws of thermodynamics. Based on the dimensionless system, an efficient numerical scheme is constructed by extending the multiple scalar auxiliary variable approach to the entropy production. The resulting scheme is decoupled, linear, unconditionally entropy-stable, and preserves mass conservation as well as the boundedness of number density at the fully discrete level. Several numerical results are presented to validate the effectiveness and stability of the proposed method.

报告人简介：四川大学数学学院教授、博士生导师。主要研究领域为关于有奇异解问题的自适应网格方法、流体力学问题的计算方法, 复杂流体计算、数值分析和数值模拟、微分方程数值格式和深度学习的方法结合等等。在国际著名期刊上发表高水平论文50余篇。先后主持国家自然科学基金3项，科技部重点研发计划子课题等项目。