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Structural and Multidisciplinary Optimization

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19-11-2017 | RESEARCH PAPER

Topology optimization of three-phase interpolation models in Darcy-stokes flow

Authors: Chao Shen, Liang Hou, Enlai Zhang, Jiahe Lin

Published in: Structural and Multidisciplinary Optimization | Issue 4/2018

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Abstract

This paper extends the topology optimization (TO) methods of fluid flows to design the three-phase (i.e. solid, fluid and porous materials) interpolation scheme. In addition to numerous studies about the optimized layout of regions governed by Darcy-Stokes equations, this paper aims to minimize the pressure attenuation in multiple phase interpolation models. The optimized distribution is obtained by considering both the fluid permeability through the porous media and impenetrable inner walls (solid phase) and neglecting buoyancy and other external body forces. Each material phase is assigned with two design variables that are projected into the element space via the regularized interpolation functions. The solid isotropic material with penalization (SIMP) interpolation functions, which is initially developed for minimizing compliance of multiple structural materials, is applied to TO processes of Darcy–Stokes flow. The fields are divided into the design and non-design domains, and TO layouts are assembled to satisfy the given performance functions. The smoothed Heaviside projection filter and Helmholtz-type Partial Differential Equation (PDE) based filter are utilized to produce discrete solutions in the continuum TO processes. Numerical studies are carried out to verify the proposed interpolation scheme.

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Title: Topology optimization of three-phase interpolation models in Darcy-stokes flow
Authors: Chao Shen
Liang Hou
Enlai Zhang
Jiahe Lin
Publication date: 19-11-2017
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 4/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-017-1836-8

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