Year: 2022
Author: Wei Hu, Dong Wang, Xiao-Ping Wang
Communications in Computational Physics, Vol. 31 (2022), Iss. 5 : pp. 1317–1340
Abstract
We propose an efficient iterative convolution thresholding method for the formulation of flow networks where the fluid is modeled by the Darcy–Stokes flow with the presence of volume sources. The method is based on the minimization of the dissipation power in the fluid region with a Darcy term. The flow network is represented by its characteristic function and the energy is approximated under this representation. The minimization problem can then be approximately solved by alternating: 1) solving a Brinkman equation to model the Darcy–Stokes flow and 2) updating the characteristic function by a simple convolution and thresholding step. The proposed method is simple and easy to implement. We prove mathematically that the iterative method has the total energy decaying property. Numerical experiments demonstrate the performance and robustness of the proposed method and interesting structures are observed.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2021-0234
Communications in Computational Physics, Vol. 31 (2022), Iss. 5 : pp. 1317–1340
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Topology optimization convolution thresholding Darcy–Stokes flow.
Author Details
-
A prediction-correction based iterative convolution-thresholding method for topology optimization of heat transfer problems
Chen, Huangxin | Dong, Piaopiao | Wang, Dong | Wang, Xiao-PingJournal of Computational Physics, Vol. 511 (2024), Iss. P.113119
https://doi.org/10.1016/j.jcp.2024.113119 [Citations: 0] -
A modified and efficient phase field model for the biological transport network
Xia, Qing | Jiang, Xiaoyu | Li, YibaoJournal of Computational Physics, Vol. 488 (2023), Iss. P.112192
https://doi.org/10.1016/j.jcp.2023.112192 [Citations: 12]