Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method
•A parallel framework is built for RDE-based topology optimization.•2D/3D compliance, power dissipation, FSI optimization are presented.•Body-fitted mesh adaptation is used to realize separate modelling.•B-Rep conversion of mesh to CAD is presented.•A complete product development workflow is demonst...
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Veröffentlicht in: | Applied Mathematical Modelling 2022-01, Vol.101, p.276-308 |
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creator | Li, Hao Kondoh, Tsuguo Jolivet, Pierre Furuta, Kozo Yamada, Takayuki Zhu, Benliang Izui, Kazuhiro Nishiwaki, Shinji |
description | •A parallel framework is built for RDE-based topology optimization.•2D/3D compliance, power dissipation, FSI optimization are presented.•Body-fitted mesh adaptation is used to realize separate modelling.•B-Rep conversion of mesh to CAD is presented.•A complete product development workflow is demonstrated.
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We propose a new framework for the two- and three-dimensional topology optimization (TO) of the weakly-coupled fluid–structure system. The proposed design methodology uses a reaction–diffusion equation (RDE) for updating the level-set function based on the topological sensitivity. From the numerical point of view, two key ingredients are highlighted: (i) the body-fitted adaptive mesh strategy allows the disjoint reunion of a global mesh that contains several (fluid/solid) subdomains, whose interfaces can be described by an implicitly defined surface (zero level-set); (ii) our framework uses FreeFEM for finite element analysis (FEA) and PETSc for distributed linear algebra. Efficient preconditioner techniques are utilized to solve the large-scale finite element systems. From the engineering stand point, we propose a complete product development workflow including the pre-processing, TO, B-Rep conversion, and the numerical experiment. The performance of our methodology is demonstrated by solving three different optimization problems: compliance, power dissipation, and fluid–structure interaction (FSI). For comparison and for assessing our various techniques, we benchmark our designs against state-of-the-art works followed by showcasing a variety of practical engineering design examples. |
doi_str_mv | 10.1016/j.apm.2021.08.021 |
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[Display omitted]
We propose a new framework for the two- and three-dimensional topology optimization (TO) of the weakly-coupled fluid–structure system. The proposed design methodology uses a reaction–diffusion equation (RDE) for updating the level-set function based on the topological sensitivity. From the numerical point of view, two key ingredients are highlighted: (i) the body-fitted adaptive mesh strategy allows the disjoint reunion of a global mesh that contains several (fluid/solid) subdomains, whose interfaces can be described by an implicitly defined surface (zero level-set); (ii) our framework uses FreeFEM for finite element analysis (FEA) and PETSc for distributed linear algebra. Efficient preconditioner techniques are utilized to solve the large-scale finite element systems. From the engineering stand point, we propose a complete product development workflow including the pre-processing, TO, B-Rep conversion, and the numerical experiment. The performance of our methodology is demonstrated by solving three different optimization problems: compliance, power dissipation, and fluid–structure interaction (FSI). For comparison and for assessing our various techniques, we benchmark our designs against state-of-the-art works followed by showcasing a variety of practical engineering design examples.</description><identifier>ISSN: 0307-904X</identifier><identifier>ISSN: 1088-8691</identifier><identifier>EISSN: 0307-904X</identifier><identifier>DOI: 10.1016/j.apm.2021.08.021</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>Body-fitted adaptive mesh ; Design engineering ; Finite element method ; Fluid-structure interaction ; Level-set method ; Linear algebra ; Optimization ; Product development ; Reaction-diffusion equations ; Reaction–diffusion equation ; Topology optimization ; Workflow</subject><ispartof>Applied Mathematical Modelling, 2022-01, Vol.101, p.276-308</ispartof><rights>2021 Elsevier Inc.</rights><rights>Copyright Elsevier BV Jan 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-e6a6c1bc61b98da1bb57556de1b5dc0eb5f4b458f5239c27c96516608725f453</citedby><cites>FETCH-LOGICAL-c391t-e6a6c1bc61b98da1bb57556de1b5dc0eb5f4b458f5239c27c96516608725f453</cites><orcidid>0000-0003-4316-1253 ; 0000-0002-5349-6690 ; 0000-0001-5138-4321</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.apm.2021.08.021$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27922,27923,45993</link.rule.ids></links><search><creatorcontrib>Li, Hao</creatorcontrib><creatorcontrib>Kondoh, Tsuguo</creatorcontrib><creatorcontrib>Jolivet, Pierre</creatorcontrib><creatorcontrib>Furuta, Kozo</creatorcontrib><creatorcontrib>Yamada, Takayuki</creatorcontrib><creatorcontrib>Zhu, Benliang</creatorcontrib><creatorcontrib>Izui, Kazuhiro</creatorcontrib><creatorcontrib>Nishiwaki, Shinji</creatorcontrib><title>Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method</title><title>Applied Mathematical Modelling</title><description>•A parallel framework is built for RDE-based topology optimization.•2D/3D compliance, power dissipation, FSI optimization are presented.•Body-fitted mesh adaptation is used to realize separate modelling.•B-Rep conversion of mesh to CAD is presented.•A complete product development workflow is demonstrated.
[Display omitted]
We propose a new framework for the two- and three-dimensional topology optimization (TO) of the weakly-coupled fluid–structure system. The proposed design methodology uses a reaction–diffusion equation (RDE) for updating the level-set function based on the topological sensitivity. From the numerical point of view, two key ingredients are highlighted: (i) the body-fitted adaptive mesh strategy allows the disjoint reunion of a global mesh that contains several (fluid/solid) subdomains, whose interfaces can be described by an implicitly defined surface (zero level-set); (ii) our framework uses FreeFEM for finite element analysis (FEA) and PETSc for distributed linear algebra. Efficient preconditioner techniques are utilized to solve the large-scale finite element systems. From the engineering stand point, we propose a complete product development workflow including the pre-processing, TO, B-Rep conversion, and the numerical experiment. The performance of our methodology is demonstrated by solving three different optimization problems: compliance, power dissipation, and fluid–structure interaction (FSI). For comparison and for assessing our various techniques, we benchmark our designs against state-of-the-art works followed by showcasing a variety of practical engineering design examples.</description><subject>Body-fitted adaptive mesh</subject><subject>Design engineering</subject><subject>Finite element method</subject><subject>Fluid-structure interaction</subject><subject>Level-set method</subject><subject>Linear algebra</subject><subject>Optimization</subject><subject>Product development</subject><subject>Reaction-diffusion equations</subject><subject>Reaction–diffusion equation</subject><subject>Topology optimization</subject><subject>Workflow</subject><issn>0307-904X</issn><issn>1088-8691</issn><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9UMtOwzAQjBBIlMIHcLPEOWGd1G4iTqjiJSFx6YGb5ceGukrqYDtI5YTEJ_CHfAmGcuDEaXZnZ1a7k2WnFAoKlJ-vCzn0RQklLaAuEuxlE6hgnjcwe9z_Ux9mRyGsAYClbpK9L1ceMTe2x02wbiM7Et3gOve0JW6ItrevMiaeuJZI0najNZ9vHyH6UcfRIwnbELEnY7CbJ6Kc2eatjREN6TGsiDRy-HErGRKXirhC0uELdnnAmERx5cxxdtDKLuDJL06z5fXVcnGb3z_c3C0u73NdNTTmyCXXVGlOVVMbSZVic8a4QaqY0YCKtTM1Y3XLyqrR5Vw3nFHOoZ6XacKqaXa2Wzt49zxiiGLtRp8-DqLkwJuqhBqSiu5U2rsQPLZi8LaXfisoiO-oxVqkqMV31AJqkSB5LnYeTNe_WPQiaIsbjcZ61FEYZ_9xfwEsXoqg</recordid><startdate>202201</startdate><enddate>202201</enddate><creator>Li, Hao</creator><creator>Kondoh, Tsuguo</creator><creator>Jolivet, Pierre</creator><creator>Furuta, Kozo</creator><creator>Yamada, Takayuki</creator><creator>Zhu, Benliang</creator><creator>Izui, Kazuhiro</creator><creator>Nishiwaki, Shinji</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-4316-1253</orcidid><orcidid>https://orcid.org/0000-0002-5349-6690</orcidid><orcidid>https://orcid.org/0000-0001-5138-4321</orcidid></search><sort><creationdate>202201</creationdate><title>Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method</title><author>Li, Hao ; 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[Display omitted]
We propose a new framework for the two- and three-dimensional topology optimization (TO) of the weakly-coupled fluid–structure system. The proposed design methodology uses a reaction–diffusion equation (RDE) for updating the level-set function based on the topological sensitivity. From the numerical point of view, two key ingredients are highlighted: (i) the body-fitted adaptive mesh strategy allows the disjoint reunion of a global mesh that contains several (fluid/solid) subdomains, whose interfaces can be described by an implicitly defined surface (zero level-set); (ii) our framework uses FreeFEM for finite element analysis (FEA) and PETSc for distributed linear algebra. Efficient preconditioner techniques are utilized to solve the large-scale finite element systems. From the engineering stand point, we propose a complete product development workflow including the pre-processing, TO, B-Rep conversion, and the numerical experiment. The performance of our methodology is demonstrated by solving three different optimization problems: compliance, power dissipation, and fluid–structure interaction (FSI). For comparison and for assessing our various techniques, we benchmark our designs against state-of-the-art works followed by showcasing a variety of practical engineering design examples.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.apm.2021.08.021</doi><tpages>33</tpages><orcidid>https://orcid.org/0000-0003-4316-1253</orcidid><orcidid>https://orcid.org/0000-0002-5349-6690</orcidid><orcidid>https://orcid.org/0000-0001-5138-4321</orcidid></addata></record> |
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subjects | Body-fitted adaptive mesh Design engineering Finite element method Fluid-structure interaction Level-set method Linear algebra Optimization Product development Reaction-diffusion equations Reaction–diffusion equation Topology optimization Workflow |
title | Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method |
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