An unconditionally energy stable finite element scheme for a
nonlinear fluid-fluid interaction model
报告专家：黄鹏展教授 (新疆大学)
报告时间：2023年9月7日下午3:00-3:45
报告地点：东409报告厅
报告摘要：In this talk,wewill show youa decoupled scheme for solving a fluid-fluid interaction problem which includes two Navier-Stokes equations coupled by some nonlinear interface conditions. Compared with two decoupled schemes proposed by Connors et al. in 2012 for the fluid-fluid interaction problem, we deal with these nonlinear interface conditions by applying explicit scheme.The presented fully discrete scheme is a combination of a mixed finite element approximation for spatial discretization, the first order backward Euler scheme for temporal discretization, and explicit treatment for the interface conditions and the nonlinear terms. Moreover, the unconditional energy stability is established and error estimate for the fully discrete scheme is also showed. Finally, some numerical experiments are provided to verify the theoretical results, which illustrate the accuracy and efficiency of the presented scheme.This work is a joint work with Prof. Yinnian He and Wei Li.
专家简介：黄鹏展，中共党员，教授，博士生导师，香港城市大学访问研究员，美国匹兹堡大学访问学者。入选自治区天山英才计划第二、三期培养人选，年度中国博士后科学基金资助者选介，自治区杰出青年科学基金获得者。近年来，主持省部级以上项目10项，在IMAJNA、CMAME、JSC、CiCP、IJHMT等国际知名期刊上发表学术论文110余篇，其中ESI高被引论文1篇。研究成果获自治区自然科学奖一等奖1项（排名第二），自治区自然科学优秀论文奖3篇。
邀请人：谢小平