北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术研究
研究团队
公开课
讨论班
招生招聘
教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > BIMSA Thursday Machine Learning Applications Seminar Fast algorithms for bio-inspired fluid simulations
Fast algorithms for bio-inspired fluid simulations
组织者
焦小沛 , 马志婷 , 熊繁升 , 杨武岳
演讲者
Weifan Liu
时间
2024年05月30日 15:30 至 17:00
地点
A3-1-301
线上
Zoom 815 762 8413 (BIMSA)
摘要
The dynamics of microswimmers immersed in viscous fluid can be described by incompressible Stokes equation. We will discuss our recent work on the algorithms for two numerical challenges of the simulations of such problems. (1) Parallel-in-time algorithm: The long-time numerical simulations of biofluid applications often require the use of parallel computing methods due to high computation costs. However, the parallel speedup saturates as the number of computer cores increases if spatial parallelization alone is used. To resolve this problem, we develop a parallel-in-time method based on the Parareal algorithm for simulating biofluid problems. In particular, we develop novel non-intrusive coarse solvers for the serial sweeps of the Parareal algorithm. (2) Multigrid method: With numerical methods such as Method of Regularized Stokeslet (MRS), the Boundary Integral Equation (BIE) formulation, and the Boundary Element Method (BEM), given the fluid velocities at these points, the hydrodynamic forces can be obtained by solving the dense linear system described by a kernel function. We propose a multigrid solver for solving such a linear system using the data-sparsity of the matrix and the regularity of the geometry of the structures. Numerical experiments on a variety of bio-inspired microswimmers immersed in a Stokes flow demonstrate the effectiveness and efficiency of the proposed solvers.
演讲者介绍
Weifan Liu is a lecturer of Department of Mathematics at Beijing Forestry University. She received her Ph.D from Duke University in 2019, and was a Philip T. Church Postdoctoral Fellow at Syracuse University from 2019 to 2022. Her research interests are in fast algorithms and mathematical modeling for various problems that arise from biology and physics.
北京雁栖湖应用数学研究院
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