Shihua Gong, Assistant Professor, The Chinese University of Hong Kong, Shenzhen

Yong Liu, Associate Professor

A well-posed variational formulation and robust preconditioners for the fluid-rigid body interaction with applications in microfluidics

15:00-16:00 June 24 (Monday), Z311

We consider numerical algorithms for particulate flows, which involve the interactions between rigid particles and incompressible flows. In this talk, we will discuss computational challenges for this coupled system, including handling the moving interface between circular particles and flows, and addressing bottlenecks in large-scale and long-duration simulations. Our algorithms are based on fictitious domain methods (FDM) with distributed Lagrange multipliers. The advantages of our algorithms include being interpolation-free, featuring accurate quadrature, and maintaining a sharp interface, with the potential for high-order methods. At the end of the talk, we will discuss the stability analysis of the variational problems, which leads to robust parallel solvers for the linearized systems.

报告人简介：龚世华， 香港中文大学（深圳）助理教授。本科毕业于中山大学，博士毕业于北京大学数学学院。先后在美国宾夕法尼亚州立大学和英国巴斯大学从事博士后研究工作。研究兴趣包括大规模科学计算和数值分析，主要研究有限元方法，线性与非线性预条件子，高频波散射和流固耦合问题的高效算法。论文发表于Numerische Mathematik, Mathematics of Computation, IMA Journal of Numerical Analysis, M3AS, SISC 等期刊。主持国家自然科学基金青年基金项目、广东省面上项目、深圳市科创委项目及华为公司频域波求解器项目。