AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (13.1 MB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Open Access

Topology optimization of fluidic problems using internal interface normal zero-velocity constraint

Zhiqi WANGa,b,Yuan LIANGcChong WANGaZhenyu LIUa( )Gengdong CHENGc
Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
University of the Chinese Academy of Sciences, Beijing 100049, China
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China

Peer review under responsibility of Editorial Committee of JAMST

Show Author Information

Abstract

One of the disadvantages of the permeability-based fluidic topology optimization method is that seepage inside the solid region makes the optimized results highly sensitive to the selection of the impermeable parameter in the standard Darcy model. In this paper, fluid seepage in the solid region is greatly reduced by imposing zero-velocity constraints along the normal direction of the fluid-solid interface. In each optimization iteration, the fluid-solid interface can be traced by setting a predefined threshold of design variables, and a body-fitted mesh is constructed explicitly by cutting the original square element into quadrilateral and triangular elements. Several representative fluidic optimization examples, for which problems associated with the seepage effect arise when using the standard Darcy model, illustrate the effectiveness of the proposed method.

References

1

Borrvall T, Petersson J. Topology optimization of fluids in Stokes flow. International Journal for Numerical Methods in Engineering 2003;41(1): 77-107.

2

Gersborg-Hansen A, Sigmund O, Haber RB. Topology optimization of channel flow problems. Structural and Multidisciplinary Optimization 2005;30(3):181-192.

3

Evgrafov A. Topology optimization of slightly compressible fluids. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 2006; 86(1): 46-62.

4

Andreasen CS, Gersborg AR, Sigmund O. Topology optimization of microfluidic mixers. International Journal for Numerical Methods in Fluids 2009;61(5): 498-513.

5

Lin S, Zhao L, Guest JK, Weihs TP, et al. Topology optimization of fixed-geometry fluid diodes. Journal of Mechanical Design 2015;137 (8): 081402.

6

Alexandersen J, Sigmund O, Aage N. Large scale three-dimensional topology optimization of heat sinks cooled by natural convection. International Journal of Heat & Mass Transfer 2016; 100(sep.): 876-891.

7

Dilgen CB, Dilgen SB, Fuhrman DR, et al. Topology optimization of turbulent flows. Computer Methods in Applied Mechanics and Engineering 2018; 331:363-393.

8

Guest JK, JH Prévost. Topology optimization of creeping fluid flows using a Darcy-Stokes finite element. International Journal for Numerical Methods in Engineering 2006; 66(3): 461-484.

9

Kreissl S, Pingen G, Maute K. Topology optimization for unsteady flow. International Journal for Numerical Methods in Engineering 2011;87(13): 1229-1253.

10

Deng Y, Liu Z, Zhang P, et al. Topology optimization of unsteady incompressible Navier-Stokes flows. Journal of Computational Physics 2011;230(17): 6688-6708.

11

Pingen G, Maute K. Optimal design for non-Newtonian flows using a topology optimization approach. Computers & Mathematics with Applications 2010;59(7):2340-2350.

12

Hyun J, Wang S, Yang S. Topology optimization of the shear thinning non-Newtonian fluidic systems for minimizing wall shear stress. Computers & Mathematics with Applications 2014;67(5): 1154-1170.

13

Kreissl S, Maute K. Levelset based fluid topology optimization using the extended finite element method. Structural and Multidisciplinary Optimization 2012;46(3): 311-326.

14

Challis VJ, Guest JK. Level set topology optimization of fluids in Stokes flow. International Journal for Numerical Methods in Engineering 2009;79(10):1284-1308.

15

Pingen G, Waidmann M, Evgrafov A, et al. A parametric level-set approach for topology optimization of flow domains. Structural and Multidisciplinary Optimization 2009;41(1): 117-131.

16

Kreissl S, Pingen G, Maute K. An explicit level-set approach for generalized shape optimization of fluids with the lattice Boltzmann method. International Journal for Numerical Methods in Fluids 2011; 65 (5): 496-519.

17

Villanueva CH, Maute K. CutFEM topology optimization of 3D laminar incompressible flow problems. Computer Methods in Applied Mechanics and Engineering 2017; 320:444-473.

18

Behrou R, Ranjan R, Guest J K. Adaptive topology optimization for incompressible laminar flow problems with mass flow constraints. Computer Methods in Applied Mechanics and Engineering 2019;346: 612-641.

19

Vrionis PY, Samouchos KD, Giannakoglou KC. Topology optimization in fluid mechanics using continuous adjoint and the cut-cell method. Computers & Mathematics with Applications 2021;97: 286-297.

20

Theulings M J B, Langelaar M, van Keulen F, et al. Towards improved porous models for solid/fluid topology optimization. Structural and Multidisciplinary Optimization 2023; 66(6): 133.

21
Gaffney JR R, Hassan H. Euler calculations for wings using Cartesian grids. In 25th AIAA Aerospace Sciences Meeting 1987.p.356.
22

Maute K, Ramm E. Adaptive topology optimization. Structural Optimization 1995;10(2): 100-112.

23

Allaire G, Dapogny C, Frey P. A mesh evolution algorithm based on the level set method for geometry and topology optimization. Structural and Multidisciplinary Optimization 2013;48(4):711-715.

24

Liu Z, Korvink JG. Adaptive moving mesh level set method for structure topology optimization. Engineering Optimization 2008;40(6): 529-558.

25

Yamasaki S, Kawamoto A, Nomura T, et al. A consistent grayscalefree topology optimization method using the level-set method and zero-level boundary tracking mesh. International Journal for Numerical Methods in Engineering 2015;101(10):744-773.

26

Liu Z, Gao Q, Zhang P, et al. Topology optimization of fluid channels with flow rate equality constraints. Structural and Multidisciplinary Optimization 2010;44(1): 31-37.

27

Souza B, Yamabe P, Sá L, et al. Topology optimization of fluid flow by using integer linear programming. Structural and Multidisciplinary Optimization 2021;64(3): 1221-1240.

28

Giles MB, Pierce NA. An introduction to the adjoint approach to design. Flow Turbulence & Combustion 2000;65(3):393-415.

29

Olesen LH, Okkels F, Bruus H. A highlevel programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow. International Journal for Numerical Methods in Engineering 2006;65(7): 975-1001.

30

Hinze M, Pinnau R, Ulbrich M, et al. Optimization with PDE constraints. 2009.

31

Svanberg K. The method of moving asymptotes—a new method for structural optimization. International Journal for Numerical Methods in Engineering 1987;24(2): 359-373.

32

Hauke G, Hughes T. A unified approach to compressible and incompressible flows. Computer Methods in Applied Mechanics and Engineering 1994;113(3-4): 389-395.

33

Zhou T, Liu T, Deng Y, et al. Design of microfluidic channel networks with specified output flow rates using the CFD-based optimization method. Microfluidics & Nanofluidics 2017;21(1): 1-8.

Journal of Advanced Manufacturing Science and Technology
Cite this article:
WANG Z, LIANG Y, WANG C, et al. Topology optimization of fluidic problems using internal interface normal zero-velocity constraint. Journal of Advanced Manufacturing Science and Technology, 2023, 3(4): 2023013. https://doi.org/10.51393/j.jamst.2023013

128

Views

0

Downloads

0

Crossref

1

Scopus

Altmetrics

Received: 25 May 2023
Revised: 10 June 2023
Accepted: 25 June 2023
Published: 15 October 2023
©2023 JAMST

This is an Open Access article distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Return