Research-Modeling, solution and applications based on Brinkman equation

Research

Computational & Applied Math Seminar

Modeling, solution and applications based on Brinkman equation

Speaker: Huangxin Chen (Xiamen University )
Time: Nov 3, 2021, 10:00-11:00
Location: Tencent Meeting ID 268 383 093

Abstract

In this talk, we will firstly introduce a one-domain approach of modeling based on Brinkman to simulate the fluid flow over a porous medium. Then we apply the one-domain approach of modeling in fluid topology optimization. A threshold dynamics method will be introduced and the stability analysis will be shown. Then in order to improve the efficiency of solution of Brinkman equation, the adaptive HDG method for Brinkman equation will be introduced and extended to the Brinkman optimal control problem. Numerical results will be provided to validate the analysis.