Speaker: Dr. Junxiang Yang (杨钧翔博士)

Time: 14:00-15:00, 16 May 2025 (Friday) (Beijing time)

Venue: A103, Lijiao Building

Abstract

We present a mass‐conserving diffuse‐interface two‑phase model that captures fine interfacial features without extra mesh refinement. To address the local mass loss seen in small droplets with the standard Cahn–Hilliard approach, we introduce a curvature‐dependent mobility: in high‑curvature regions it slows interface shrinkage, while in low‑curvature regions it retains the usual interface dynamics. Because this mobility is always nonnegative, the model still ensures global mass conservation and energy dissipation. Under matched density and viscosity, we develop a linear, second‑order, energy‑stable time‑stepping scheme—the leap‑frog–auxiliary‑variable (LFAV) method—which at each step solves only decoupled parabolic equations for velocity, a Poisson equation for pressure, and a parabolic equation with variable coefficients for the phase field. We prove energy stability for arbitrary time steps. Numerical tests confirm improved local mass conservation, accurate interface capture, and overall stability, and a three‑dimensional dam‑break simulation demonstrates robust handling of large deformations and fine splashes.

About the Speaker

杨钧翔，澳门科技大学创新工程学院计算机科学与工程学院助理教授，2021年8月博士毕业于韩国高丽大学应用数学专业，2021年12月-2023年6月在中山大学从事博士后研究工作。研究兴趣为多物理场耦合建模、相场方法、计算流体动力学、三维重建与图像处理等。自2018年起至今，共参与发表sci论文100余篇，其中以第一或通讯作者身份发表sci论文78篇，成果主要发表于Computer Methods in Applied Mechanics and Engineering、Journal of Computational Physics等期刊。主持了国家自然科学基金青年科学基金项目、澳门科学技术发展基金创新人才计划提升项目、澳门科技大学基金项目、中国博士后科学基金面上项目等。曾入选2022年中国博士后国际交流计划引进项目。