Topology optimization of thermal–fluid problem using the MMC-based approach

Yu, Minghao; Ruan, Shilun; Wang, Xinyu; Li, Zheng; Shen, Changyu

doi:10.1007/s00158-019-02206-w

Cited by 43 publications

(16 citation statements)

References 30 publications

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“…Subramaniam et al [137] investigated the inherent competition between heat transfer and pressure drop. Yu et al [138] applied a geometry projection method called moving morphable components (MMC) to the design of two-dimensional problems allowing for explicit feature size contol. Zhang and Gao [139] presented a density-based approach for optimising non-Newtonian fluid based thermal devices.…”

Section: Forced Convectionmentioning

confidence: 99%

“…Of these 31 papers, 11 use an Ersatz-material, 11 use an adapted approach and only nine use a surface-capturing discretisation method. Lastly, the rest of the papers are distributed as follows: 5 using BESO [168,169,172,173,177]; 2 using phase field [42,59]; 1 using a discrete surface representation [63]; 1 using a geometry-projection method [138]; and 2 utilising the topological gradient [46,74]. Figure 6 shows the distribution of papers in these overall methods.…”

Section: Design Representationsmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

185

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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: Forced Convectionmentioning

confidence: 99%

Section: Design Representationsmentioning

confidence: 99%

A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

185

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“…where Φ p represents the level set function parameterized by CSRBF as in Equation (21). By choosing a small value of 𝜏 (which is set as 0.002 in this work), the original zero contour of level set function can be kept steady while the norm of the gradient gets smoothened.…”

Section: The Additional Diffusion Termmentioning

confidence: 99%

“…19 Yaji et al 20 employed the level set method to optimize the 2D and 3D thermal-fluid problems. Yu et al 21 optimized the heat sink by using moving morphable components (MMC) to describe the geometry explicitly. Zhao et al 22 combined the MMC and density method to conduct the concurrent optimization on the heat sink problems.…”

Section: Introductionmentioning

confidence: 99%

A stabilized parametric level‐set XFEM topology optimization method for thermal‐fluid problem

Lin

Zhu

et al. 2021

Numerical Meth Engineering

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This article presents a stabilized level-set topology optimization method for the design of a thermal-fluid system. The steady-state laminar Navier-Stokes equation and the convection-diffusion equation are used to model the thermal-fluid problem. The compactly supported radial basis functions are employed to describe the fluid-solid interfaces. The extended finite element method is used to interpolate the material domain and the non-slip interface conditions are weakly enforced by the Nitsche's method. To overcome the numerical instabilities during the optimization process, a distance-regularized method based on adopting a modified energy potential functional is proposed and the signed distance property around the structural boundaries is obtained.In the numerical experiments, two-dimensional numerical models considering minimizing the average or maximum temperature are used to reveal the validity and merits of the proposed method.

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“…The recent work in Chu et al (2019) uses MMC to design periodic truss cores of sandwich panels with minimal compliance. (Watts and Tortorelli, 2017), c) stress constraints (Zhang et al, 2017a), d) multi-material structures (Kazemi et al, 2018), e) geometric nonlinearities (Zhu et al, 2018) and f) thermal-fluid problems (Yu et al, 2019).…”

Section: Applicationsmentioning

confidence: 99%

A Review on Feature-Mapping Methods for Structural Optimization

Wein¹,

Dunning²,

Norato³

2019

Preprint

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In this review we identify a new category of structural optimization methods that has emerged over the last 20 years, which we propose to call feature-mapping methods. The two defining aspects of these methods are that the design is parameterized by a high-level geometric description and that features are mapped onto a fixed grid for analysis. The main motivation for using these methods is to gain better control over the geometry to, for example, facilitate imposing direct constraints on geometric features, while avoiding issues with re-meshing. The review starts by providing some key definitions and then examines the ingredients that these methods use to map geometric features onto a fixed-grid. One of these ingredients corresponds to the mechanism for mapping the geometry of a single feature onto a fixed analysis grid, from which an ersatz material or an immersed boundary approach is used for the analysis. For the former case, which we refer to as the pseudo-density approach, a test problem is formulated to investigate aspects of the material interpolation, boundary smoothing and numerical integration. We also review other ingredients of feature-mapping techniques, including approaches for combining features (which are required to perform topology optimization) and methods for imposing a minimum separation distance among features. A literature review of feature-mapping methods is provided for shape optimization, combined feature/free-form optimization, and topology optimization. Finally, we discuss potential future research directions for feature-mapping methods.

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Topology optimization of thermal–fluid problem using the MMC-based approach

Cited by 43 publications

References 30 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

A stabilized parametric level‐set XFEM topology optimization method for thermal‐fluid problem

A Review on Feature-Mapping Methods for Structural Optimization

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