勷勤数学•专家报告

题      目：High order methods and robust block preconditioners for the fluid-rigid body interaction

报  告  人：龚世华 助理教授  (邀请人：钟柳强)

                                   香港中文大学（深圳）

时      间：5月16日  15：00-16：00

地     点：数科院西楼112教室

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。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快速求解器。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、及华为公司应用驱动基础研究项目。

摘      要：

       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 use arbitrary Eulerian-Lagrangian mapping to track the moving interface and distributed Lagrange multipliers to enforce the rigid-body motion. The advantages of our algorithms include 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. We will also present some simulation results of particulate flows in microfluidics.

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