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Introduction

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Book cover Topology Optimization Theory for Laminar Flow

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Abstract

In this chapter, the state of the art is introduced for the topology optimization of flow problems. The topology optimization method will be introduced for the steady and unsteady flows with body forces, respectively based on the density method and level set method. And the level set method is further used to extend the topology optimization into the area of two-phase flow with two immiscible fluids. It is highlighted that the continuous adjoint method is utilized to implement the analysis of the topology optimization, and this can effectively reduce the dependence on the numerical methods used to discretize the partial differential equations. And the developed topology optimization methods are applied to inversely design the microstructures for the hot microfluidics, and demonstrate the power of topology optimization.

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  1. Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun, China

    Yongbo Deng, Yihui Wu & Zhenyu Liu

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Deng, Y., Wu, Y., Liu, Z. (2018). Introduction. In: Topology Optimization Theory for Laminar Flow. Springer, Singapore. https://doi.org/10.1007/978-981-10-4687-2_1

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