Topology optimization for surface flows

doi:10.1016/j.jcp.2022.111415

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	Topology optimization for surface flows
	Y. Deng; W. Zhang; Z. Liu; J. Zhu and J. G. Korvink
刊名	Journal of Computational Physics
	2022
卷号	467
ISSN号	219991
DOI	10.1016/j.jcp.2022.111415
英文摘要	Surface flows can represent the motions of the viscous and incompressible fluid at the solid/fluid interfaces. This paper presents a topology optimization approach for surface flows and extends the design space of topology optimization of fluidic structures onto the curved surfaces in the forms of 2-manifolds corresponding to the geometrical configurations of the solid/fluid interfaces. The presented approach is implemented by filling a porous medium onto the 2-manifolds. An artificial Darcy friction is correspondingly added to the area force term of the surface Navier-Stokes equations used to describe the surface flows and the physical area forces are penalized to eliminate their existence in the fluidic regions and to avoid the invalidity of the porous medium based topology optimization model. Topology optimization for the steady and unsteady surface flows has been executed by iteratively evolving the impermeability of the porous medium, where the impermeability is interpolated by the material density derived from a design variable. The related partial differential equations are solved by using the surface finite element method. Numerical examples have been provided to demonstrate this topology optimization approach for the surface flows, including the boundary velocity driven flows, the area force driven flows and the convection-diffusion flows. 2022 Elsevier Inc.
URL标识	查看原文
内容类型	期刊论文
源URL	[http://ir.ciomp.ac.cn/handle/181722/67182]
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	Y. Deng,W. Zhang,Z. Liu,et al. Topology optimization for surface flows[J]. Journal of Computational Physics,2022,467.
APA	Y. Deng,W. Zhang,Z. Liu,&J. Zhu and J. G. Korvink.(2022).Topology optimization for surface flows.Journal of Computational Physics,467.
MLA	Y. Deng,et al."Topology optimization for surface flows".Journal of Computational Physics 467(2022).