一、题目

Decoupled Numerical Schemes for the Cahn-Hilliard-Stokes-Darcy System

二、主讲人

陈文斌

三、摘要

We propose and analyze two novel decoupled numerical schemes for solving the Cahn-Hilliard-Stokes-Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical scheme, we explore a fractional step method (operator splitting) to decouple the phase-field (Cahn-Hilliard equation) from the velocity field (Stokes-Darcy fluid equations). To further decouple the Stokes-Darcy system, we introduce a first order pressure stabilization term in the Darcy solver in the second numerical scheme so that the Stokes system is decoupled from the Darcy system and hence the CHSD system can be solved in a fully decoupled manner. We show that both decoupled numerical schemes are uniquely solvable and energy stable. Numerical results are presented to demonstrate the accuracy and efficiency of our schemes.

四、主讲人简介

陈文斌，山东大学数学系本科和硕士毕业，复旦大学数学系博士毕业。现为复旦大学数学科学学院教授，博士生导师。中国工业与应用数学学会第七届、第六届理事会理事，中国计算数学学会第九届理事会理事。曾参加国家973项目《大规模科学计算》《高性能科学计算研究》、国家自然科学基金面上重点项目和国家自然科学基金重大研究计划等，并主持上海市自然科学基金项目和国家自然科学基金项目。

五、邀请人

孙同军

六、时间

11月20日（周五）10:00-11:00

七、地点

腾讯会议，会议ID：170 548 481

八、主办方

山东大学数学学院