A “poor man’s” approach to topology optimization of natural convection problems

Asmussen, Janus Jerver; Alexandersen, Joe; Sigmund, Ole; Andreasen, Casper Schousboe

doi:10.1007/s00158-019-02215-9

Cited by 52 publications

(38 citation statements)

References 53 publications

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“…Ramalingom et al [159] applied their previous method to multi-objective optimisation of mixed and natural convection in a asymmetrically-heated vertical channel. Pollini et al [160] extended the work of Asmussen et al [157] to large-scale three-dimensional problems, producing results comparable to those of Alexandersen et al [151] with a computational time reduction of 80-95% in terms of core-hours.…”

Section: Natural Convectionmentioning

confidence: 77%

“…Saglietti et al [156] presented topology optimisation of heat sinks in a square differentially heated cavity using a spectral element method. In order to reduce the computational cost, Asmussen et al [157] suggested an approximate flow model to that originally presented by Alexandersen et al [109], by neglecting intertia and viscous boundary layers. Pizzolato et al [158] extended their previous work to maximise the performance of multi-tube latent heat thermal energy storage systems, investigating many different working conditions.…”

Section: Natural Convectionmentioning

confidence: 99%

“…Another recent example uses laminar flow to approximate turbulent flow in a multifidelity approximation framework [148]. For natural convection, a potential-like model is derived by reducing the Navier-Stokes equations by assuming the buoyancy term to be dominant [157,160].…”

Section: Simplified Flow Modelsmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

Self Cite

181

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This review paper provides an overview of the literature for topology optimisation of fluid-based problems, starting with the seminal works on the subject and ending with a snapshot of the state of the art of this rapidly developing field. “Fluid-based problems” are defined as problems where at least one governing equation for fluid flow is solved and the fluid–solid interface is optimised. In addition to fluid flow, any number of additional physics can be solved, such as species transport, heat transfer and mechanics. The review covers 186 papers from 2003 up to and including January 2020, which are sorted into five main groups: pure fluid flow; species transport; conjugate heat transfer; fluid–structure interaction; microstructure and porous media. Each paper is very briefly introduced in chronological order of publication. A quantititive analysis is presented with statistics covering the development of the field and presenting the distribution over subgroups. Recommendations for focus areas of future research are made based on the extensive literature review, the quantitative analysis, as well as the authors’ personal experience and opinions. Since the vast majority of papers treat steady-state laminar pure fluid flow, with no recent major advancements, it is recommended that future research focuses on more complex problems, e.g., transient and turbulent flow.

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Section: Natural Convectionmentioning

confidence: 77%

Section: Natural Convectionmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

Self Cite

181

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“…In addition, Dilgen et al (2018) applied density-based topology optimization to turbulent heat transfer problems. For practical approaches in utilizing topology optimization in complex fluid problems, simplified models have recently been studied for solving turbulent heat transfer problems (Zhao et al 2018;Yaji et al 2020;Kambampati and Kim 2020), natural convection problems (Asmussen et al 2019;Pollini et al 2020), and heat exchanger design problems (Haertel and Nellis 2017;Kobayashi et al 2019). The history and the state-of-the-art of topology optimization for fluid problems including heat transfer problems are summarized in the recently published review paper (Alexandersen and Andreasen 2020).…”

Section: Introductionmentioning

confidence: 99%

Topology design of two-fluid heat exchange

Kobayashi

Yaji

Yamasaki

et al. 2020

Struct Multidisc Optim

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Heat exchangers are devices that typically transfer heat between two fluids. The performance of a heat exchanger such as heat transfer rate and pressure loss strongly depends on the flow regime in the heat transfer system. In this paper, we present a density-based topology optimization method for a two-fluid heat exchange system, which achieves a maximum heat transfer rate under fixed pressure loss. We propose a representation model accounting for three states, i.e., two fluids and a solid wall between the two fluids, by using a single design variable field. The key aspect of the proposed model is that mixing of the two fluids can be essentially prevented. This is because the solid constantly exists between the two fluids due to the use of the single design variable field. We demonstrate the effectiveness of the proposed method through three-dimensional numerical examples in which an optimized design is compared with a simple reference design, and the effects of design conditions (i.e., Reynolds number, Prandtl number, design domain size, and flow arrangements) are investigated.

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“…Although it is reported that this issue only arose when the objective function was directly dependent on the velocity field, those zones are considered as solid by the optimization algorithm while they should be treated as fluid. In addition to this, topology optimization of natural convection problems is computationally expensive [6]. Bruns [17] applied topology optimization to convection-dominated heat transfer problems.…”

Section: Introductionmentioning

confidence: 99%

A multi-objective optimization problem in mixed and natural convection for a vertical channel asymmetrically heated

Ramalingom¹,

Cocquet²,

Maleck³

et al. 2019

Struct Multidisc Optim

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This paper deals with a multi-objective topology optimization problem in an asymmetrically heated channel, based on both pressure drop minimization and heat transfer maximization. The problem is modeled by assuming steady-state laminar natural convection flow. The incompressible Navier-Stokes equations coupled with the convection-diffusion equation, under the Boussinesq approximation, are employed and are solved with the finite volume method. In this paper, we discuss some limits of classical pressure drop cost function for buoyancy driven flow and, we then propose two new expressions of objective functions: the first one takes into account work of pressure forces and contributes to the loss of mechanical power while the second one is related to thermal power and is linked to the maximization of heat exchanges. We use the adjoint method to compute the gradient of the cost functions. The topology optimization problem is first solved for a Richardson (Ri) number and Reynolds number (Re) set respectively to Ri ∈ {100, 200, 400} and Re = 400. All these configuration are investigated next in order to demonstrate the efficiency of the new expressions of cost functions. We compare two types of interpolation functions for both the design variable field and the effective diffusivity. Both interpolation techniques have pros and cons and give slightly the same results. We notice that we obtain less isolated solid elements with the sigmoid-type interpolation functions. Then, we choose to work with the sigmoid and solve the topology optimization problem in case of pure natural convection, by setting Rayleigh number to {3 × 10 3 , 4 × 10 4 , 5 × 10 5 }. In all considered

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A “poor man’s” approach to topology optimization of natural convection problems

Cited by 52 publications

References 53 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

Topology design of two-fluid heat exchange

A multi-objective optimization problem in mixed and natural convection for a vertical channel asymmetrically heated

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