Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method

This paper presents a local-in-time (LT) discrete adjoint-based topology optimization method for unsteady incompressible viscous flows incorporating the lattice Boltzmann method (LBM). For the optimization of unsteady flows, straightforward global implementations of the time-dependent optimization a...

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Autores principales:	Cong CHEN, Kentaro YAJI, Takayuki YAMADA, Kazuhiro IZUI, Shinji NISHIWAKI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2017
Materias:	lattice boltzmann method topology optimization unsteady flow local-in-time storage cost Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/6812c6a4f745469da0683d248f8c4fce
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spelling	oai:doaj.org-article:6812c6a4f745469da0683d248f8c4fce2021-11-26T07:03:57ZLocal-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method2187-974510.1299/mej.17-00120https://doaj.org/article/6812c6a4f745469da0683d248f8c4fce2017-04-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/3/4_17-00120/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper presents a local-in-time (LT) discrete adjoint-based topology optimization method for unsteady incompressible viscous flows incorporating the lattice Boltzmann method (LBM). For the optimization of unsteady flows, straightforward global implementations of the time-dependent optimization are usually adopted. However, such global implementations require that the entire flow solution history be available to calculate the solution of the adjoint equation reversed in time. For 3-D design optimization problems, the storage requirements can become prohibitively large. In this paper, the LT discrete adjoint-based method is applied to a LBM-based topology optimization to reduce the storage requirement. The basic idea of the LT method is to divide the entire time interval into several subintervals and to approximate the global sensitivity derivative as a combination of local sensitivity derivatives computed for each time subinterval. In this approach, flow solutions for only a single subinterval need to be stored. Since each time subinterval includes only a few (possibly one) time steps, the data storage requirements can be tremendously reduced. This method is applied in a pressure drop minimization problem considering unsteady viscous fluid. Two- and three-dimensional numerical examples are provided to confirm the validity and utility of the presented method.Cong CHENKentaro YAJITakayuki YAMADAKazuhiro IZUIShinji NISHIWAKIThe Japan Society of Mechanical Engineersarticlelattice boltzmann methodtopology optimizationunsteady flowlocal-in-timestorage costMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 3, Pp 17-00120-17-00120 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	lattice boltzmann method topology optimization unsteady flow local-in-time storage cost Mechanical engineering and machinery TJ1-1570
spellingShingle	lattice boltzmann method topology optimization unsteady flow local-in-time storage cost Mechanical engineering and machinery TJ1-1570 Cong CHEN Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
description	This paper presents a local-in-time (LT) discrete adjoint-based topology optimization method for unsteady incompressible viscous flows incorporating the lattice Boltzmann method (LBM). For the optimization of unsteady flows, straightforward global implementations of the time-dependent optimization are usually adopted. However, such global implementations require that the entire flow solution history be available to calculate the solution of the adjoint equation reversed in time. For 3-D design optimization problems, the storage requirements can become prohibitively large. In this paper, the LT discrete adjoint-based method is applied to a LBM-based topology optimization to reduce the storage requirement. The basic idea of the LT method is to divide the entire time interval into several subintervals and to approximate the global sensitivity derivative as a combination of local sensitivity derivatives computed for each time subinterval. In this approach, flow solutions for only a single subinterval need to be stored. Since each time subinterval includes only a few (possibly one) time steps, the data storage requirements can be tremendously reduced. This method is applied in a pressure drop minimization problem considering unsteady viscous fluid. Two- and three-dimensional numerical examples are provided to confirm the validity and utility of the presented method.
format	article
author	Cong CHEN Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI
author_facet	Cong CHEN Kentaro YAJI Takayuki YAMADA Kazuhiro IZUI Shinji NISHIWAKI
author_sort	Cong CHEN
title	Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
title_short	Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
title_full	Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
title_fullStr	Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
title_full_unstemmed	Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method
title_sort	local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice boltzmann method
publisher	The Japan Society of Mechanical Engineers
publishDate	2017
url	https://doaj.org/article/6812c6a4f745469da0683d248f8c4fce
work_keys_str_mv	AT congchen localintimeadjointbasedtopologyoptimizationofunsteadyfluidflowsusingthelatticeboltzmannmethod AT kentaroyaji localintimeadjointbasedtopologyoptimizationofunsteadyfluidflowsusingthelatticeboltzmannmethod AT takayukiyamada localintimeadjointbasedtopologyoptimizationofunsteadyfluidflowsusingthelatticeboltzmannmethod AT kazuhiroizui localintimeadjointbasedtopologyoptimizationofunsteadyfluidflowsusingthelatticeboltzmannmethod AT shinjinishiwaki localintimeadjointbasedtopologyoptimizationofunsteadyfluidflowsusingthelatticeboltzmannmethod
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Local-in-time adjoint-based topology optimization of unsteady fluid flows using the lattice Boltzmann method

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