Seminars on Numerical Algorithms, Analyses, and Applications：Direct discretization method for phase field model on surfaces

：李义宝（西安交通大学）
：2025-11-05 10:30
：海韵园行政楼C503

报告人：李义宝（西安交通大学）

时  间：2025年11月5日10:30

地  点：海韵园行政楼C503

内容摘要:

In this talk, we will introduce simple and efficient direct discretization schemes for solving the phase field model on a fix and evolving surfaces. By using a conservation law and transport formulae, we derive the phase field model on evolving surfaces. An evolving surface is discretized using an unstructured triangular mesh. The discrete phase field model is defined on the surface mesh and its dual surface polygonal tessellation. The evolving triangular surfaces are then realized by moving the surface nodes according to a given velocity field. The proposed scheme is based on the Crank–Nicolson scheme and a linearly stabilized splitting scheme. The scheme is second order accurate, with respect to both space and time. Several numerical experiments are presented to demonstrate the performance and effectiveness of the proposed numerical scheme. 

个人简介：

李义宝，西安交通大学教授，博导，2020年入选国家青年人才计划。主要从事多物理场的耦合机制、3D打印优化-设计-仿真等研究工作。自2010年，在数学与力学交叉期刊发表SCI论文100多篇，获国家授权发明专利9项。

 

联系人：陈黄鑫