报告主题：外貌相场模子的直接离散化要领 (Direct discretization method for phase field model on surfaces)

报 告 人：李义宝 教授（西安交通大学）

报告时间：2021年10月13日（周三） 19:00-22：00

参会方法：腾讯聚会

聚会ID：861 375 605

约请人：潘晓敏

主理部分：理学院数学系

报告摘要：

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.