Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function

Dugast, Florian; Favennec, Yann; Josset, Christophe

doi:10.1016/j.jcp.2020.109252

Cited by 23 publications

(11 citation statements)

References 64 publications

(78 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Chen et al [107] extended their previous work [104] to three-dimensional problems. Dugast et al [108] used a level set method and the LBM to maximise the reaction in a square reactor and investigated the problem for a range of flow situations.…”

Section: Species Transportmentioning

confidence: 99%

See 1 more Smart Citation

A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

199

View full text Add to dashboard Cite

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.

show abstract

Section: Species Transportmentioning

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%

A Review of Topology Optimisation for Fluid-Based Problems

Alexandersen

Andreasen

2020

Fluids

199

View full text Add to dashboard Cite

show abstract

“…Beside improving the basics of the method, many engineering optimization problems have also been addressed in recent years. [10][11][12][13][14][15][16][17][18][19] Due to variety of topology optimization applications in real-life engineering problems, the optimization methods frequently face complicated physical domains. This leads to employ irregular discretizing mesh for the computational model of the problem.…”

Section: Introductionmentioning

confidence: 99%

“…Also, Dunning et al 8,9 used the sequential quadratic programming to enhance the level set method for considering multiple optimization constraints. Beside improving the basics of the method, many engineering optimization problems have also been addressed in recent years 10–19 …”

Section: Introductionmentioning

confidence: 99%

A parameter space approach for isogeometrical level set topology optimization

Aminzadeh

Tavakkoli

2022

Numerical Meth Engineering

View full text Add to dashboard Cite

In this article, a new isogeometrical level set topology optimization is introduced. In previous studies, the level set function is approximated by b-splines basis functions and the control net is updated during the optimization process. Since control points are not basically on the level set surface, a discrepancy between zero level of function that represents boundaries of the structure, and zero level of its control netis appeared. In this article, the idea is solving level set equation (LSE) over the parameter space of b-splines basis functions defined in the IGA model. Afterwards, the updated level set function is mapped into the physical space. The level set function is approximated over a grid defined in parameter space which is constantly a unit square. By doing so, control net of the IGA model and the grid for solving LSE are separated. Two well-known radial basis functions (RBF) and reaction-diffusion (RD) based methods are employed to solve the LSE. The proposed method is applied to minimize the mean compliance when certain amount of material is used and also for weight minimization subject to local stress constraints. Several numerical examples are presented to demonstrate performance and accuracy of the proposed method.

show abstract

“…They further employed the multi-relaxation time (MRT) model to improve the numerical stability of the LB model and derived the respective adjoint MRT model. 41 From the above review, it can be concluded that the application of the TO method of ALBM and LSF to convective heat transfer problems is still in its inception phase and further researches are highly required. Besides, currently almost all the applications of LBM-based TO were limited to one-way coupled convective heat transfer problem, in which fluid flow is not affected by the heat transfer.…”

mentioning

confidence: 99%

Topology optimization of convective heat transfer by the lattice Boltzmann method

Luo

Chen

et al. 2022

Numerical Methods in Fluids

View full text Add to dashboard Cite

Topology optimization (TO) is a dependable approach to obtain innovative designs with improved performance. This study presents a TO method based on the adjoint lattice Boltzmann method (ALBM) and the level set method which is developed for both one‐way coupled and two‐way coupled convective heat transfer problems. The adjoint lattice Boltzmann model for fully coupled natural convection system is derived, and the coupled solution strategy is applied in the ALBM. The forward model is validated by the finite element simulation, while the adjoint model and the sensitivity expression is validated by a finite difference check, and the whole TO method is validated by a typical pure fluid flow optimization problem given in the literature. The validated TO method is then applied to enhance the heat transfer of forced convection in a two‐dimensional open chamber, and the Pareto frontier of the bi‐objective optimization is further presented and the effects of the blockages at the inlet and outlet on the overall performance are revealed. Finally, the two‐dimensional natural convection process in a closed cavity is optimized, in which the effective heat transfer coefficient can be increased to 3.96 ∼ 6.11 times of that without the optimized design when the Grashof number ranges from 1.7 to 4.2 × 105. Moreover, effects of Grashof number, porosity limitation and solid thermal diffusivity on the optimization results are analyzed in detail. Physically reasonable designs are obtained for both forced convection and natural convection systems under various parameter settings, demonstrating the effectiveness and robustness of the presented TO method.

show abstract

Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function

Cited by 23 publications

References 64 publications

A Review of Topology Optimisation for Fluid-Based Problems

A Review of Topology Optimisation for Fluid-Based Problems

A parameter space approach for isogeometrical level set topology optimization

Topology optimization of convective heat transfer by the lattice Boltzmann method

Contact Info

Product

Resources

About