Multi-objective Bayesian shape optimization of an industrial hydrodynamic separator using unsteady Eulerian-Lagrangian simulations

IF 2 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Optimization and Engineering Pub Date : 2024-08-17 DOI:10.1007/s11081-024-09907-2

A. P. Roberts, A. A. M. Rahat, D. S. Jarman, J. E. Fieldsend, G. R. Tabor

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Abstract

The shape of a hydrodynamic particle separator has been optimized using a parallelized and robust formulation of Bayesian optimization, with data from an unsteady Eulerian flow field coupled with Lagrangian particle tracking. The uncertainty due to the mesh, initial conditions, and stochastic dispersion in the Eulerian-Lagrangian simulations was minimized and quantified. This was then translated across to the error term in the Gaussian process model and the minimum probability of improvement infill criterion. An existing parallelization strategy was modified for the infill criterion and customized to prefer exploitation in the decision space. In addition, a new strategy was developed for hidden constraints using Voronoi penalization. In the approximate Pareto Front, an absolute improvement over the base design of \(14\%\) in the underflow collection efficiency and \(10\%\) in the total collection efficiency was achieved, which resulted in the filing of a patent.* The corresponding designs were attributed to the effective distribution of residence time between the trays via the removal of a vertical plume. The plume also reduced both efficiencies by creating a flow path in a direction that acted against effective settling. The concave down and offset tray shapes demonstrated the value of Bayesian optimization in producing useful and non-intuitive designs.

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利用非稳定欧拉-拉格朗日模拟对工业流体动力分离器进行多目标贝叶斯形状优化

摘要使用贝叶斯优化的并行化稳健公式，结合来自非稳定欧拉流场的数据和拉格朗日粒子跟踪，对流体动力粒子分离器的形状进行了优化。在欧拉-拉格朗日模拟中，由网格、初始条件和随机分散引起的不确定性被最小化和量化。然后将其转化为高斯过程模型中的误差项和改进填充标准的最小概率。针对填充准则，对现有的并行化策略进行了修改，并根据决策空间的利用情况进行了定制。此外，还针对使用 Voronoi 惩罚的隐藏约束条件开发了一种新策略。在近似帕累托前沿（Pareto Front）中，底流收集效率和总收集效率分别比基础设计提高了 \(14\%\)和 \(10\%\)，并因此申请了专利*。羽流还通过在不利于有效沉降的方向上形成流道而降低了两个效率。向下凹陷和偏移的托盘形状证明了贝叶斯优化在产生有用和非直观设计方面的价值。

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来源期刊

Optimization and Engineering 工程技术-工程：综合

CiteScore

4.80

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Optimization and Engineering is a multidisciplinary journal; its primary goal is to promote the application of optimization methods in the general area of engineering sciences. We expect submissions to OPTE not only to make a significant optimization contribution but also to impact a specific engineering application. Topics of Interest: -Optimization: All methods and algorithms of mathematical optimization, including blackbox and derivative-free optimization, continuous optimization, discrete optimization, global optimization, linear and conic optimization, multiobjective optimization, PDE-constrained optimization & control, and stochastic optimization. Numerical and implementation issues, optimization software, benchmarking, and case studies. -Engineering Sciences: Aerospace engineering, biomedical engineering, chemical & process engineering, civil, environmental, & architectural engineering, electrical engineering, financial engineering, geosciences, healthcare engineering, industrial & systems engineering, mechanical engineering & MDO, and robotics.