A boundary element approach for topology design in diffusive problems containing heat sources

Anflor, Carla Tatiana Mota; Marczak, Rogério José

doi:10.1016/j.ijheatmasstransfer.2009.02.048

Cited by 11 publications

(9 citation statements)

References 14 publications

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“…Despite the present approach using insulating inclusions instead of voids, good agreement is obtained (see Figure 5) with the previous results of [17] and [12].…”

Section: Fig 3 Pcb Initial Design and Boundary Conditionssupporting

confidence: 85%

“…The code was initially written for solving topology problems considering a single material. The topology optimization process was performed creating voids inside the domain and a final geometry was generated with less volume [12]. In this paper, a different material will be added during the optimization process instead of removing material.…”

Section: The Architecture Of the Optimization Processmentioning

confidence: 99%

“…This closed formula was derived in its general form and particularized for heterogeneous and isotropic media, showing agreement with the Amstutz [11] derivation. On the basis of previous relevant work by one of the authors [5,12], this paper aims at extending an optimization procedure for heat transfer problems considering heterogeneous materials using BEM and D T . The derivation of an integral equation valid over all the external boundaries of the different material regions, without due consideration for the interfaces between them, is not impossible, despite the complexity involved.…”

Section: Introductionmentioning

confidence: 99%

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A topological optimization procedure applied to multiple region problems with embedded sources

Anflor

Albuquerque

Wrobel

2014

International Journal of Heat and Mass Transfer

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The main objective of this work is the application of the topological optimization procedure to heat transfer problems considering multiple materials. The topological derivative (D T ) is employed for evaluating the domain sensitivity when perturbed by inserting a small inclusion. Electronic components such as printed circuit boards (PCBs) are an important area for the application of topological optimization. Generally, geometrical optimization involving heat transfer in PCBs considers only isotropic behaviour and/or a single material. Multiple domains with anisotropic characteristics take an important role on many industrial products, for instance when considering PCBs which are often connected to other components of different materials. In this sense, a methodology for solving topological optimization problems considering anisotropy and multiple regions with embedded heat sources is developed in this paper. A direct boundary element method (BEM) is employed for solving the proposed numerical problem.

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“…Despite the present approach using insulating inclusions instead of voids, good agreement is obtained (see Figure 5) with the previous results of [17] and [12].…”

Section: Fig 3 Pcb Initial Design and Boundary Conditionssupporting

confidence: 85%

Section: The Architecture Of the Optimization Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A topological optimization procedure applied to multiple region problems with embedded sources

Anflor

Albuquerque

Wrobel

2014

International Journal of Heat and Mass Transfer

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“…They have presented several examples which exhibit the adverse effects if an inappropriate convection modelling is used. Marczak and Anflor [72] introduced the boundary element method (BEM) as an alternative to FEA and FVM. In their paper, topological derivative was used as the means to generate the optimal topologies.…”

Section: -2010mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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Topology optimization is proving to be a valuable design tool for physical systems, especially for structural systems. However, its application in the field of heat transfer is less evident but is constantly progressing. In this chapter, we would like to introduce topology optimization in the context of heat exchanger design to the general reader. We also provide a chronological review of available literature to see the current progress of topology optimization in the field of heat transfer and heat exchanger design. We expect that topology optimization will prove to be a valuable tool in heat exchanger design for the coming years.

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“…Additionally, the unknowns of BEM formulation are the pressure and its derivative, the flux, as such making the method very accurate for the representation of discontinuities [26]. BEM has been used in combination with the TSSM by Marczak [20], Anflor and Marczak [2] and Cisilino [10] for two-dimensional potential problems, Marczak [21] and Carretero and Cisilino [9] for two-dimensional elasticity and Bertsch et al [3] for three-dimensional elasticity. The works by Bonnet [5], Nemitz and Bonnet [23] and Abe et al [1] are examples of BEM implementations of topological sensitivity methods for acoustic scattering.…”

Section: Introductionmentioning

confidence: 99%

Inverse scattering analysis in acoustics via the BEM and the topological-shape sensitivity method

et al. 2014

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Inverse scattering acoustics find practical applications in the detection and imaging of objects embedded in continuous media as well as in finding the optimum geometric configuration of an object to produce a given radiation performance. This work introduces a boundary element method (BEM) approach for the solution of acoustic identification and optimization problems via a topological-shape sensitivity method. The devised optimization tool takes advantage of the inherent characteristics of BEM to effectively solve the forward and adjoint acoustic problems arising in the topological derivative formulation and to deal with infinite domains. The objectives for the identification and optimization problems are to achieve a prescribed sound pressure at a given region of the problem domain. The locus giving extreme values for the topological derivative indicates the optimum positions for the placement of sound-hard scatterers in order to minimize the cost function. The proposed implementation has the ability to deal with initially empty design spaces as well as with design spaces containing pre-existent scatterers. The capabilities of the method are demonstrated by solving a number of identification and optimization problems.

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A boundary element approach for topology design in diffusive problems containing heat sources

Cited by 11 publications

References 14 publications

A topological optimization procedure applied to multiple region problems with embedded sources

A topological optimization procedure applied to multiple region problems with embedded sources

Heat Exchanger Design with Topology Optimization

Inverse scattering analysis in acoustics via the BEM and the topological-shape sensitivity method

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