Sharp interface modeling and simulations of two-phase ferrofluid flows    

主讲人：王冀鲁（哈尔滨工业大学（深圳））

摘要：We propose a novel sharp interface model to describe the behavior of two-phase ferrofluid flows with unmatched densities. The model couples the Navier-Stokes equations for incompressible fluid motion with an advection-reaction equation for the magnetization field, incorporating precise jump conditions at the interface. Utilizing the techniques by Barrett, Garcke, and Nurnberg (BGN), we establish a mathematical relationship between the parameterization of the interface and its mean curvature, enabling an accurate description of the interface geometry and capturing the dynamics at the sharp interface explicitly. To solve the model, we develop a fully discrete backward Euler arbitrary-Lagrangian-Eulerian (ALE) finite element method, enhanced with a specialized mesh velocity governed by a harmonic equation to maintain mesh quality throughout the simulation. Extensive numerical examples are presented to verify the validity of the proposed model, illustrate the accuracy of the numerical scheme, and simulate the benchmark “Rosensweig instability” in both two and three dimensions.

主讲人简介：王冀鲁，哈尔滨工业大学（深圳）教授，国家高层次青年人才，此前为北京计算科学研究中心特聘研究员。王冀鲁的研究兴趣为偏微分方程数值解，包括关于浅水波方程、多孔介质中不可压混溶驱动模型、薛定谔方程以及分数阶方程的数值方法。目前分别主持和参与国家自然科学基金面上项目和重点项目。   

邀请人：李东方

时间：2026年9月22日14:00-16:00

地点： 腾讯会议室：463284025