Topology optimization method for interior flow based on transient information of the lattice Boltzmann method with a level-set function

Yonekura, Kazuo; Kanno, Yoshihiro

doi:10.1007/s13160-017-0257-9

Cited by 10 publications

(7 citation statements)

References 45 publications

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“…Sá et al [54] further extended the work in [46] to rotating domains. Yonekura and Kanno [55] extended their previous approach for updating the design during the computation of an unsteady flow field to a level set based method. Dai et al [56] presented a piecewise constant Ersatz-material level set method, which essentially reduces it to a density-based method.…”

Section: Steady Laminar Flowmentioning

confidence: 99%

“…It is clear that FEM is the most widely used discretisation method with 134 papers or 76%. The next most used method is LBM at 28 papers [14,20,22,24,26,[36][37][38]44,55,65,69,75,77,78,84,97,108,113,118,119,126,131,163,168,172,173,186] or 16%. PM is the least used method with only a single paper [79].…”

Section: Design Representationsmentioning

confidence: 99%

“…Figure 9a shows that a significant share of the included papers contain three-dimensional results, namely 31% or 58 out of 186 papers. For the pure fluid flow, there are 15 papers for steady laminar flow [14,15,21,23,25,[32][33][34]36,46,55,56,61,66,70], 3 for unsteady flow [74,76,77], 2 for turbulent flow [80,82] and none for non-Newtonian fluids.…”

Section: Three-dimensional Problemsmentioning

confidence: 99%

“…While 31% of papers treat three-dimensional problems, many of these suffer from either: being very small in the third dimension [107,122]; having severely restricted design freedom in the third dimension [164,168,172,173]; and using very coarse discretisations [14,23,46,56,132,150]. Truly three-dimensional problems inherently carry a large computational cost with them, and this is discussed in a number of papers, where high performance parallel computing [15,25,33,55,76,82,126,129,151,153,160], graphics processing units [119,173] and adaptive meshes [61] have been proposed as solutions.…”

Section: Three-dimensional Problemsmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

197

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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: Steady Laminar Flowmentioning

confidence: 99%

Section: Design Representationsmentioning

confidence: 99%

Section: Three-dimensional Problemsmentioning

confidence: 99%

Section: Three-dimensional Problemsmentioning

confidence: 99%

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A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

197

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“…Arif et al [9] studied the numerical simulation of random computer virus propagation model, compared the solutions of random and deterministic computer virus models, and provided the basis for eliminating the spread strategy of virus in the population, which has a strong reference significance and research value for the study of seepage. In recent years, lattice LBM method has developed rapidly in the research direction of simulating porous media flow [10]. LBM method has been paid more and more attention by scholars in various fields.…”

Section: Introductionmentioning

confidence: 99%

On the Application of the Lattice Boltzmann Method to Predict Soil Meso Seepage Characteristics

Zhou¹,

Tan²

2020

Fluid Dynamics &Amp; Materials Processing

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In this study, a two-dimensional approach is elaborated to study with the lattice Boltzmann method (LBM) the seepage of water in the pores of a soil. Firstly, the D2Q9 model is selected to account for the discrete velocity distribution of water flow. In particular, impermeability is considered as macroscopic boundary condition for the left and right domain sides, while the upper and lower boundaries are assumed to behave as pressure boundaries controlled by different densities. The micro-boundary conditions are implemented through the standard rebound strategy and a non-equilibrium extrapolation scheme. Matlab is used for the development of the related algorithm. Finally, the influence of porosity, permeability, osmotic pressure and other factors is assessed with regard to seepage characteristics and the ensuing results are compared with Darcy's law. The computations show that, for fixed initial conditions, the pore structure has a certain influence on the local velocity of seepage, but the overall state is stable, and the average velocity of each layer is the same. The larger the pore passage is, the faster the flow velocity is, and vice versa. For low permeability, the numerical results are consistent with the Darcy's law. The greater the pressure difference between the inlet and outlet of seepage, the greater the seepage rate. The relationship between them is linear (yet in good agreement with Darcy's law).

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Optimization Method of Personnel Management Based on Information Technology

Gang

2021

Lecture Notes in Electrical Engineering

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Topology optimization method for interior flow based on transient information of the lattice Boltzmann method with a level-set function

Cited by 10 publications

References 45 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

On the Application of the Lattice Boltzmann Method to Predict Soil Meso Seepage Characteristics

Optimization Method of Personnel Management Based on Information Technology

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