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• W2014025488 abstract "The smoothness of topological interfaces often largely affects the fluid optimization and sometimes makes the density-based approaches, though well established in structural designs, inadequate. This paper presents a level-set method for topology optimization of steady-state Navier-Stokes flow subject to a specific fluid volume constraint. The solid-fluid interface is implicitly characterized by a zero-level contour of a higher-order scalar level set function and can be naturally transformed to other configurations as its host moves. A variational form of the cost function is constructed based upon the adjoint variable and Lagrangian multiplier techniques. To satisfy the volume constraint effectively, the Lagrangian multiplier derived from the first-order approximation of the cost function is amended by the bisection algorithm. The procedure allows evolving initial design to an optimal shape and/or topology by solving the Hamilton-Jacobi equation. Two classes of benchmarking examples are presented in this paper: (1) periodic microstructural material design for the maximum permeability; and (2) topology optimization of flow channels for minimizing energy dissipation. A number of 2D and 3D examples well demonstrated the feasibility and advantage of the level-set method in solving fluid-solid shape and topology optimization problems." @default.
• W2014025488 created "2016-06-24" @default.
• W2014025488 creator A5030412244 @default.
• W2014025488 creator A5063804938 @default.
• W2014025488 date "2008-12-01" @default.
• W2014025488 modified "2023-10-02" @default.
• W2014025488 title "A variational level set method for the topology optimization of steady-state Navier–Stokes flow" @default.
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• W2014025488 doi "https://doi.org/10.1016/j.jcp.2008.08.022" @default.
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