Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	陈黄鑫副教授，厦门大学
Inviter:	黄记祖副研究员
Title:	Threshold dynamics method for topology optimization for fluids
Time & Venue:	2019.6.12 14:30-15:30 N702
Abstract:	In this talk we will introduce an efficient threshold dynamics method for topology optimization for fluids modeled with the Stokes equation. We aim to minimize an objective energy function that consists of the dissipation power in the fluid and the perimeter approximated by nonlocal energy subject to a fluid volume constraint and an incompressibility condition. In order to solve the problem in the whole domain, a one-domain approach for fluids over porous media will be introduced. Then we show that the minimization problem can be solved with an iterative scheme in which the Stokes problem is approached with a Brinkman problem. The indicator functions of the fluid-solid regions are then updated according to simple convolutions followed by a thresholding step. The total energy decaying property of the iterative algorithm can be obtained. Some numerical results will be shown to verify the efficiency of the proposed algorithm.