报告人：单丽 副教授（汕头大学）

时间：2021年12月15日 15：00

地点：学术报告厅（工西416）

摘要：In this talk, we consider a confined flow in a dual-porosity media coupled with free flow in embedded macrofractures and conduits.  More specifically, the flow in dual-porosity media, which consists of both matrix and microfratures, is described by a dual-porosity model of both matrix pressure and microfracture pressure;  the flow in the conduits/macrofratures is governed by the Stokes model. There are four physically valid interface conditions to couple the two models on the interface, including a no-exchange condition, a mass balance condition, a force balance condition, and the Beavers-Joseph condition. We provide three numerical method for dual-porosity-Stokes system, the first one is the standard finite element method, the other two are decoupled schemes based on the partitioned time stepping strategy. They decouple the complex model into three simple sub-problems and solve them separately. Considering the flows in two sub-regions act with different speed, the third scheme allows different time scales to discretize different sub-problems.

个人简介：单丽，汕头大学副教授，2012年博士毕业于西安交通大学计算数学专业，研究方向是偏微分方程数值解。主持国家自然科学基金2项，省厅级项目4项，在SIAM J.Numer. Anal., J. Sci. Comput., Appl. Numer. Math.等期刊发表学术论文20余篇。