Topology Optimization of Capillary, Two-Phase Flow Problems

	Topology Optimization of Capillary, Two-Phase Flow Problems
	Deng, Y. B.; Z. Y. Liu and Y. H. Wu
	2017
发表期刊	Communications in Computational Physics
卷号	22 期号:5
摘要	This paper presents topology optimization of capillary, the typical two-phase flow with immiscible fluids, where the level set method and diffuse-interface model are combined to implement the proposed method. The two-phase flow is described by the diffuse-interface model with essential no slip condition imposed on the wall, where the singularity at the contact line is regularized by the molecular diffusion at the interface between two immiscible fluids. The level set method is utilized to express the fluid and solid phases in the flows and the wall energy at the implicit fluid-solid interface. Based on the variational procedure for the total free energy of two-phase flow, the Cahn-Hilliard equations for the diffuse-interface model are modified for the two-phase flow with implicit boundary expressed by the level set method. Then the topology optimization problem for the two-phase flow is constructed for the cost functional with general formulation. The sensitivity analysis is implemented by using the continuous adjoint method. The level set function is evolved by solving the Hamilton-Jacobian equation, and numerical test is carried out for capillary to demonstrate the robustness of the proposed topology optimization method. It is straightforward to extend this proposed method into the other two-phase flows with two immiscible fluids.
收录类别	sci ; ei
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/58875
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Deng, Y. B.,Z. Y. Liu and Y. H. Wu. Topology Optimization of Capillary, Two-Phase Flow Problems[J]. Communications in Computational Physics,2017,22(5).
APA	Deng, Y. B.,&Z. Y. Liu and Y. H. Wu.(2017).Topology Optimization of Capillary, Two-Phase Flow Problems.Communications in Computational Physics,22(5).
MLA	Deng, Y. B.,et al."Topology Optimization of Capillary, Two-Phase Flow Problems".Communications in Computational Physics 22.5(2017).

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