题目：Higher order fully decoupled and unconditionally energy stable schemes for the incompressible Cahn-Hilliard-Navier-Stokes equations with variable density

主讲人：张通 教授

时间：2026年8月16日（星期日）16：00

地点：理学院308会议室

主办单位：国家天元数学西北中心、理学院

主讲人简介：

张通，烟台大学数学与信息科学学院教授。主要从事不可压缩粘性流体问题的高效数值算法设计及其理论分析方面的研究，发表高水平学术论文50余篇，主持完成省部级及国家级项目6项，主持在研山东省自然科学基金项目1项。

摘要：

This talk presents three higher order fully decoupled numerical schemes for the CHNS with variable density. Firstly, an equivalent form of the original problem is reformed based on four introduced auxiliary variables, the first order Euler and second order BDF2 schemes are adopted to discrete the time derivation, then time filter technique is employed to raise the temporal order from first and second orders to second and third orders, respectively. Unconditional energy stability of both schemes is provided. In order to ensure the uniquely solvability of numerical solutions of variable density CHNS, we design the fully decoupled BDF2 scheme with introduced ECAV, then volume conservation, energy dissipation and existence of numerical approximations are proved. Finally, some numerical examples are given to show the efficiency of the proposed numerical schemes.