报告题目:Numerical methods of quasiperiodic systems
报 告 人:蒋凯教授 湘潭大学
报告摘要:We develop a novel fully-decoupled numerical technique for the incompressible two-phase flow phase-field model with variable density and viscosity, which can achieve unconditional energy stability while explicitly discretizing nonlinear coupling items. The idea is invented on the basis of combining the Strang operator splitting method and the novel decoupling method using the zero-energy-contribution property. The scheme only needs to solve a series of completely independent linear elliptic equations at each time step, in which the Cahn-Hilliard equation and the pressure Poisson equation are constant coefficient. To demonstrate the effectiveness of the scheme, we provide the rigorous proof and present some numerical simulations.
报告人简介:蒋凯,湘潭大学教授、国家高层次青年人才,主要从事无理数引发的数学与算法等方面的研究。近年来在PNAS,SINUM,SISC,Macromolecules等计算数学和交叉领域重要期刊发表论文多篇,主持国家重点研发计划项目课题1项,国家自然科学基金面上项目2项、青年项目1项,获湖南省杰出青年基金资助和中国计算数学学会优秀青年论文一等奖。
报告时间:2024年6月13日 11:00-12:00
报告地点:文渊楼 B536
主办单位:数学与统计学院