Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method
This paper proposes a novel topology optimization method for unsteady state incompressible Navier-Stokes flow. Many methods of topology optimization for steady state flow have been proposed, whereas most fluid flow problems should be considered as unsteady state. Therefore, a topology optimization m...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2019-04-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00423/_pdf/-char/en |
| _version_ | 1828126051133292544 |
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| author | Atsushi KOGUCHI Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI |
| author_facet | Atsushi KOGUCHI Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI |
| author_sort | Atsushi KOGUCHI |
| collection | DOAJ |
| description | This paper proposes a novel topology optimization method for unsteady state incompressible Navier-Stokes flow. Many methods of topology optimization for steady state flow have been proposed, whereas most fluid flow problems should be considered as unsteady state. Therefore, a topology optimization method focusing on unsteady state fluid flow governed by the incompressible Navier-Stokes equation is considered in this paper. In addition, the defined boundary condition on the wall of an optimized structure should be precisely evaluated because it describes the specific fluid flow profile, such as velocity and pressure, on the wall that the fluid contacts. In order to solve flow profile near walls, an immersed boundary method is applied in the proposed method. The finite volume method is adopted to discretize primal and adjoint problems. These problems are solved using the Pressure-Implicit with Splitting of Operators (PISO) method. In this study, sensitivity analysis based on a topological derivative is applied. The update scheme for the design variable uses a reaction-diffusion equation. Some examples are shown and the effectiveness of our method is discussed in this paper. |
| first_indexed | 2024-04-11T15:28:32Z |
| format | Article |
| id | doaj.art-fe4169399bdf4e44b9d805071faba559 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T15:28:32Z |
| publishDate | 2019-04-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-fe4169399bdf4e44b9d805071faba5592022-12-22T04:16:11ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612019-04-018587318-0042318-0042310.1299/transjsme.18-00423transjsmeTopology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary methodAtsushi KOGUCHI0Kentaro YAJI1Takayuki YAMADA2Kazuhiro IZUI3Shinji NISHIWAKI4Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto UniversityDepartment of Mechanical Engineering, Graduate School of Engineering, Osaka UniversityDepartment of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto UniversityDepartment of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto UniversityDepartment of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto UniversityThis paper proposes a novel topology optimization method for unsteady state incompressible Navier-Stokes flow. Many methods of topology optimization for steady state flow have been proposed, whereas most fluid flow problems should be considered as unsteady state. Therefore, a topology optimization method focusing on unsteady state fluid flow governed by the incompressible Navier-Stokes equation is considered in this paper. In addition, the defined boundary condition on the wall of an optimized structure should be precisely evaluated because it describes the specific fluid flow profile, such as velocity and pressure, on the wall that the fluid contacts. In order to solve flow profile near walls, an immersed boundary method is applied in the proposed method. The finite volume method is adopted to discretize primal and adjoint problems. These problems are solved using the Pressure-Implicit with Splitting of Operators (PISO) method. In this study, sensitivity analysis based on a topological derivative is applied. The update scheme for the design variable uses a reaction-diffusion equation. Some examples are shown and the effectiveness of our method is discussed in this paper.https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00423/_pdf/-char/entopology optimizationunsteady-state flowtopological derivativeimmersed boundary methodlevel set method |
| spellingShingle | Atsushi KOGUCHI Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method Nihon Kikai Gakkai ronbunshu topology optimization unsteady-state flow topological derivative immersed boundary method level set method |
| title | Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| title_full | Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| title_fullStr | Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| title_full_unstemmed | Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| title_short | Topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| title_sort | topology optimization method for unsteady state incompressible viscous flow based on a level set immersed boundary method |
| topic | topology optimization unsteady-state flow topological derivative immersed boundary method level set method |
| url | https://www.jstage.jst.go.jp/article/transjsme/85/873/85_18-00423/_pdf/-char/en |
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