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Design and optimization of a domestic solar dryer: an analytical approach 家用太阳能干燥器的设计与优化:一种分析方法
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-31 DOI: 10.1108/ec-12-2023-0916
Shimpy Shimpy, Mahesh Kumar, Anil Kumar

Purpose

Food loss and wastage is an issue of global concern and the household sector is one of the biggest contributors to this. Solar drying has been explored by many eminent researchers as a solution to this problem but there have been concerns about the lack in designs, higher cost, lower performance, and consumer acceptability. The present research aims to design a small-scale domestic solar dryer by using computer software.

Design/methodology/approach

Response surface methodology (RSM) and computational fluid dynamics (CFD) are used to design the domestic solar dryer. Initially, design variables (inlet and outlet vent height) are identified and a design of experiments has been created using RSM for set of experimental runs. The experimental runs suggested by RSM were carried out using CFD simulation in COMSOL Multiphysics software and the results were used for optimization of response variables (outlet velocity and drying chamber temperature) in RSM.

Findings

Outlet vent height was found to be most significantly affecting parameter to both the responses. The optimum values of inlet and outlet vent heights were 0.5 and 2.5 cm, respectively with the overall desirability of 0.728. The model accuracy was tested by conducting a confirmation test as post processing in design expert software.

Originality/value

Designing a solar dryer is a complex, costly and time consuming process, this study presents an easy, economic and fast method to design a new solar dryer. It would help researchers to design and develop new domestic as well as large size industrial solar dryer.

目的粮食损失和浪费是一个全球关注的问题,而家庭部门是造成这一问题的最大因素之一。许多知名研究人员已经探索出太阳能干燥作为解决这一问题的方法,但人们对设计不足、成本较高、性能较差和消费者接受度等问题表示担忧。本研究旨在使用计算机软件设计一种小型家用太阳能干燥器。设计/方法/途径采用响应面方法学(RSM)和计算流体动力学(CFD)设计家用太阳能干燥器。首先,确定了设计变量(入口和出口通风口高度),并使用 RSM 为一组实验运行创建了实验设计。使用 COMSOL Multiphysics 软件中的 CFD 仿真对 RSM 建议的实验运行进行了模拟,并将结果用于 RSM 中响应变量(出口速度和干燥室温度)的优化。入口和出口通风口高度的最佳值分别为 0.5 厘米和 2.5 厘米,总体可取性为 0.728。本研究提出了一种简便、经济、快速的方法来设计新型太阳能干燥器。这将有助于研究人员设计和开发新型家用和大型工业用太阳能干燥器。
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引用次数: 0
High-order discretization–based self-adaptive turbulence eddy simulation for supersonic base flow with PHengLEI software 利用 PHengLEI 软件对超音速基底流进行基于高阶离散的自适应湍流涡模拟
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-24 DOI: 10.1108/ec-03-2023-0147
Wenchang Wu, Zhenguo Yan, Yaobing Min, Xingsi Han, Yankai Ma, Zhong Zhao
PurposeThe purpose of the present study is to develop a new numerical framework that can predict the supersonic base flow more accurately, including the development of axisymmetrically separated shear layer and recompression shock. To this end, two aspects are improved and combined, i.e. a newly self-adaptive turbulence eddy simulation (SATES) turbulence modeling method and a high-order discretization numerical scheme. Furthermore, the performance of the new numerical framework within a general-purpose PHengLEI software is assessed in detail.Design/methodology/approachSatisfactory prediction of the supersonic separated shear layer with unsteady wake flow is quite challenging. By using a unified turbulence model called SATES combining high-order accurate discretization numerical schemes, the present study first assesses the performance of newly developed SATES for supersonic axisymmetric separation flows. A high-order finite differencing-based compressible computational fluid dynamics (CFD) code called PHengLEI is developed and several different numerical schemes are used to investigate the effects on shock-turbulence interactions, which include the monotonic upstream-centered scheme for conservation laws (MUSCL), weighted compact nonlinear scheme (WCNS) and hybrid cell-edge and cell-node dissipative compact scheme (HDCS).FindingsCompared with the available experimental data and the numerical predictions, the results of SATES by using high-order accurate WCNS or HDCS schemes agree better with the experiments than the results by using the MUSCL scheme. The WCNS and HDCS can also significantly improve the prediction of flow physics in terms of the instability of the annular shear layer and the evolution of the turbulent wake.Research limitations/implicationsThe small deviations in the recirculation region can be found between the present numerical results and experimental data, which could be caused by the inaccurate incoming boundary layer condition and compressible effects. Therefore, a proper incoming boundary layer condition with turbulent fluctuations and compressibility effects need to be considered to further improve the accuracy of simulations.Practical implicationsThe present study evaluates a high-order discretization-based SATES turbulence model for supersonic separation flows, which is quite valuable for improving the calculation accuracy of aeronautics applications, especially in supersonic conditions.Originality/valueFor the first time, the newly developed SATES turbulence modeling method combining the high-order accurate WCNS or HDCS numerical schemes is implemented on the PHengLEI software and successfully applied for the simulations of supersonic separation flows, and satisfactory results are obtained. The unsteady evolutions of the supersonic annular shear layer are analyzed, and the hairpin vortex structures are found in the simulation.
本研究的目的是开发一种新的数值框架,以更准确地预测超音速基底流,包括轴对称分离剪切层和再压缩冲击的发展。为此,对两个方面进行了改进和组合,即新的自适应湍流涡模拟(SATES)湍流建模方法和高阶离散化数值方案。此外,还详细评估了新数值框架在通用 PHengLEI 软件中的性能。设计/方法/途径令人满意地预测具有非稳定尾流的超音速分离剪切层具有相当大的挑战性。本研究通过使用一种名为 SATES 的统一湍流模型,结合高阶精确离散数值方案,首先评估了新开发的 SATES 在超音速轴对称分离流中的性能。研究开发了基于高阶有限差分的可压缩计算流体动力学(CFD)代码 PHengLEI,并使用了几种不同的数值方案来研究冲击-湍流相互作用的影响,其中包括单调上游中心守恒律方案(MUSCL)、加权紧凑非线性方案(WCNS)以及单元边缘和单元节点混合耗散紧凑方案(HDCS)。研究结果与现有实验数据和数值预测结果相比,采用高阶精确 WCNS 或 HDCS 方案的 SATES 结果比采用 MUSCL 方案的结果更符合实验结果。WCNS 和 HDCS 还能显著改善环形剪切层的不稳定性和湍流尾流演变方面的流动物理预测。本研究评估了基于高阶离散化的 SATES 湍流模型在超音速分离流中的应用,这对提高航空应用,尤其是超音速条件下的计算精度具有重要价值。原创性/价值首次在 PHengLEI 软件上实现了新开发的结合高阶精确 WCNS 或 HDCS 数值方案的 SATES 湍流建模方法,并成功应用于超音速分离流的模拟,获得了令人满意的结果。分析了超音速环形剪切层的非稳定演化,并在模拟中发现了发夹涡结构。
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引用次数: 0
Gene expression programming (GEP) as novel tool for thermal analysis and kinetic modeling of pyrolysis reactions: coal pyrolysis case study 作为热分析和热解反应动力学建模新工具的基因表达编程(GEP):煤热解案例研究
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-24 DOI: 10.1108/ec-04-2023-0153
Hamidreza Najafi, Ahmad Golrokh Sani, Mohammad Amin Sobati
PurposeIn this study, a different approach is introduced to generate the kinetic sub-model for the modeling of solid-state pyrolysis reactions based on the thermogravimetric (TG) experimental data over a specified range of heating rates. Gene Expression Programming (GEP) is used to produce a correlation for the single-step global reaction rate as a function of determining kinetic variables, namely conversion, temperature, and heating rate.Design/methodology/approachFor a case study on the coal pyrolysis, a coefficient of determination (R2) of 0.99 was obtained using the generated model according to the experimental benchmark data. Comparison of the model results with the experimental data proves the applicability, reliability, and convenience of GEP as a powerful tool for modeling purposes in the solid-state pyrolysis reactions.FindingsThe resulting kinetic sub-model takes advantage of particular characteristics, to be highly efficient, simple, accurate, and computationally attractive, which facilitates the CFD simulation of real pyrolizers under isothermal and non-isothermal conditions.Originality/valueIt should be emphasized that the above-mentioned manuscript is not under evaluation in any journals and submitted exclusively for consideration for possible publication in this journal. The generated kinetic model is in the final form of an algebraic correlation which, in comparison to the conventional kinetic models, suggests several advantages: to be relatively simpler, more accurate, and numerically efficient. These characteristics make the proposed model computationally attractive when used as a sub-model in CFD applications to simulate real pyrolizers under complex heating conditions.
目的 本研究介绍了一种不同的方法,即根据特定加热速率范围内的热重(TG)实验数据,为固态热解反应建模生成动力学子模型。基因表达编程(GEP)用于生成单步全局反应速率与转化率、温度和加热速率等决定性动力学变量之间的相关关系。模型结果与实验数据的比较证明了 GEP 作为固态热解反应建模的强大工具的适用性、可靠性和便利性。研究结果所生成的动力学子模型具有高效、简单、准确、计算量大等特点,有助于对等温和非等温条件下的实际热解器进行 CFD 模拟。所生成的动力学模型的最终形式是代数关联,与传统动力学模型相比,它具有以下几个优点:相对更简单、更准确、数值效率更高。这些特点使得所提出的模型在作为 CFD 应用中的子模型来模拟复杂加热条件下的实际热解器时,具有很强的计算吸引力。
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引用次数: 0
Multiaxial fatigue life prediction based on modular neural network pretrained with uniaxial fatigue data 基于使用单轴疲劳数据预训练的模块化神经网络的多轴疲劳寿命预测
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-24 DOI: 10.1108/ec-11-2023-0852
Lei Gan, Anbin Wang, Zheng Zhong, Hao Wu
PurposeData-driven models are increasingly being used to predict the fatigue life of many engineering components exposed to multiaxial loading. However, owing to their high data requirements, they are cost-prohibitive and underperforming for application scenarios with limited data. Therefore, it is essential to develop an advanced model with good applicability to small-sample problems for multiaxial fatigue life assessment.Design/methodology/approachDrawing inspiration from the modeling strategy of empirical multiaxial fatigue models, a modular neural network-based model is proposed with assembly of three sub-networks in series: the first two sub-networks undergo pretraining using uniaxial fatigue data and are then connected to a third sub-network trained on a few multiaxial fatigue data. Moreover, general material properties and necessary loading parameters are used as inputs in place of explicit damage parameters, ensuring the universality of the proposed model.FindingsBased on extensive experimental evaluations, it is demonstrated that the proposed model outperforms empirical models and conventional data-driven models in terms of prediction accuracy and data demand. It also holds good transferability across various multiaxial loading cases.Originality/valueThe proposed model explores a new avenue to incorporate uniaxial fatigue data into the data-driven modeling of multiaxial fatigue life, which can reduce the data requirement under the promise of maintaining good prediction accuracy.
目的 数据驱动模型越来越多地用于预测许多承受多轴载荷的工程部件的疲劳寿命。然而,由于对数据的要求较高,这些模型成本高昂,而且在数据有限的应用场景中表现不佳。设计/方法/途径从经验多轴疲劳模型的建模策略中汲取灵感,提出了一种基于模块化神经网络的模型,该模型由三个子网络串联而成:前两个子网络使用单轴疲劳数据进行预训练,然后连接到使用少量多轴疲劳数据训练的第三个子网络。此外,还使用了一般材料属性和必要的加载参数作为输入,以取代明确的损伤参数,从而确保所提模型的通用性。研究结果基于广泛的实验评估,证明所提模型在预测精度和数据需求方面优于经验模型和传统的数据驱动模型。原创性/价值所提出的模型探索了一条将单轴疲劳数据纳入多轴疲劳寿命数据驱动模型的新途径,在保证良好预测精度的前提下减少了对数据的需求。
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引用次数: 0
Application of Laplace Adomian decomposition method for fractional Fokker-Planck equation and time fractional coupled Boussinesq-Burger equations 分数 Fokker-Planck 方程和时间分数耦合 Boussinesq-Burger 方程的拉普拉斯-阿多米安分解法的应用
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-09 DOI: 10.1108/ec-06-2023-0275
Yufeng Zhang, Lizhen Wang

Purpose

Fractional Fokker-Planck equation (FFPE) and time fractional coupled Boussinesq-Burger equations (TFCBBEs) play important roles in the fields of solute transport, fluid dynamics, respectively. Although there are many methods for solving the approximate solution, simple and effective methods are more preferred. This paper aims to utilize Laplace Adomian decomposition method (LADM) to construct approximate solutions for these two types of equations and gives some examples of numerical calculations, which can prove the validity of LADM by comparing the error between the calculated results and the exact solution.

Design/methodology/approach

This paper analyzes and investigates the time-space fractional partial differential equations based on the LADM method in the sense of Caputo fractional derivative, which is a combination of the Laplace transform and the Adomian decomposition method. LADM method was first proposed by Khuri in 2001. Many partial differential equations which can describe the physical phenomena are solved by applying LADM and it has been used extensively to solve approximate solutions of partial differential and fractional partial differential equations.

Findings

This paper obtained an approximate solution to the FFPE and TFCBBEs by using the LADM. A number of numerical examples and graphs are used to compare the errors between the results and the exact solutions. The results show that LADM is a simple and effective mathematical technique to construct the approximate solutions of nonlinear time-space fractional equations in this work.

Originality/value

This paper verifies the effectiveness of this method by using the LADM to solve the FFPE and TFCBBEs. In addition, these two equations are very meaningful, and this paper will be helpful in the study of atmospheric diffusion, shallow water waves and other areas. And this paper also generalizes the drift and diffusion terms of the FFPE equation to the general form, which provides a great convenience for our future studies.

目的分数福克-普朗克方程(FFPE)和时间分数耦合布辛斯克-伯格方程(TFCBBE)分别在溶质输运和流体动力学领域发挥着重要作用。虽然求解近似解的方法很多,但简单有效的方法更受青睐。本文旨在利用拉普拉斯-阿多米安分解法(LADM)来构建这两类方程的近似解,并给出了一些数值计算实例,通过比较计算结果与精确解之间的误差来证明 LADM 的有效性。设计/方法/途径 本文基于 Caputo 分导数意义上的 LADM 方法对时空分式偏微分方程进行了分析和研究,LADM 方法是拉普拉斯变换与阿多米安分解法的结合。LADM 方法由 Khuri 于 2001 年首次提出。许多能描述物理现象的偏微分方程都是通过应用 LADM 来求解的,它已被广泛用于求解偏微分方程和分数偏微分方程的近似解。文中使用了大量数值示例和图表来比较结果与精确解之间的误差。结果表明,LADM 是构建非线性时空分式方程近似解的一种简单而有效的数学技术。此外,这两个方程非常有意义,本文将有助于大气扩散、浅水波等领域的研究。而且本文还将 FFPE 方程的漂移项和扩散项概括为一般形式,为我们今后的研究提供了极大的便利。
{"title":"Application of Laplace Adomian decomposition method for fractional Fokker-Planck equation and time fractional coupled Boussinesq-Burger equations","authors":"Yufeng Zhang, Lizhen Wang","doi":"10.1108/ec-06-2023-0275","DOIUrl":"https://doi.org/10.1108/ec-06-2023-0275","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>Fractional Fokker-Planck equation (FFPE) and time fractional coupled Boussinesq-Burger equations (TFCBBEs) play important roles in the fields of solute transport, fluid dynamics, respectively. Although there are many methods for solving the approximate solution, simple and effective methods are more preferred. This paper aims to utilize Laplace Adomian decomposition method (LADM) to construct approximate solutions for these two types of equations and gives some examples of numerical calculations, which can prove the validity of LADM by comparing the error between the calculated results and the exact solution.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>This paper analyzes and investigates the time-space fractional partial differential equations based on the LADM method in the sense of Caputo fractional derivative, which is a combination of the Laplace transform and the Adomian decomposition method. LADM method was first proposed by Khuri in 2001. Many partial differential equations which can describe the physical phenomena are solved by applying LADM and it has been used extensively to solve approximate solutions of partial differential and fractional partial differential equations.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>This paper obtained an approximate solution to the FFPE and TFCBBEs by using the LADM. A number of numerical examples and graphs are used to compare the errors between the results and the exact solutions. The results show that LADM is a simple and effective mathematical technique to construct the approximate solutions of nonlinear time-space fractional equations in this work.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This paper verifies the effectiveness of this method by using the LADM to solve the FFPE and TFCBBEs. In addition, these two equations are very meaningful, and this paper will be helpful in the study of atmospheric diffusion, shallow water waves and other areas. And this paper also generalizes the drift and diffusion terms of the FFPE equation to the general form, which provides a great convenience for our future studies.</p><!--/ Abstract__block -->","PeriodicalId":50522,"journal":{"name":"Engineering Computations","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140887244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new fast four-point rainflow cycle counting algorithm by employing a new loop iteration mode for fatigue life estimation 采用新循环迭代模式的新型快速四点雨流循环计数算法,用于疲劳寿命估算
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-07 DOI: 10.1108/ec-11-2023-0814
Gangting Huang, Qichen Wu, Youbiao Su, Yunfei Li, Shilin Xie

Purpose

In order to improve the computation efficiency of the four-point rainflow algorithm, a new fast four-point rainflow cycle counting algorithm (FFRA) using a novel loop iteration mode is proposed.

Design/methodology/approach

In this new algorithm, the loop iteration mode is simplified by reducing the number of iterations, tests and deletions. The high efficiency of the new algorithm makes it a preferable candidate in fatigue life online estimation of structural health monitoring systems.

Findings

The extensive simulation results show that the extracted cycles by the new FFRA are the same as those by the four-point rainflow cycle counting algorithm (FRA) and the three-point rainflow cycle counting algorithm (TRA). Especially, the simulation results indicate that the computation efficiency of the FFRA has improved an average of 12.4 times compared to the FRA and an average of 8.9 times compared to the TRA. Moreover, the equivalence of cycle extraction results between the FFRA and the FRA is proved mathematically by utilizing some fundamental properties of the rainflow algorithm. Theoretical proof of the efficiency improvement of the FFRA in comparison to the FRA is also given.

Originality/value

This merit makes the FFRA preferable in online monitoring systems of structures where fatigue life estimation needs to be accomplished online based on massive measured data. It is noticeable that the high efficiency of the FFRA attributed to the simple loop iteration, which provides beneficial guidance to improve the efficiency of existing algorithms.

目的 为了提高四点雨流算法的计算效率,提出了一种采用新型循环迭代模式的新型快速四点雨流循环计数算法(FFRA)。研究结果 大量仿真结果表明,新的 FFRA 算法提取的循环次数与四点雨流循环计数算法(FRA)和三点雨流循环计数算法(TRA)相同。尤其是仿真结果表明,FFRA 的计算效率比 FRA 平均提高了 12.4 倍,比 TRA 平均提高了 8.9 倍。此外,利用雨流算法的一些基本特性,从数学上证明了 FFRA 和 FRA 的循环提取结果是等价的。原创性/价值 这一优点使 FFRA 成为结构在线监测系统的首选,在这种系统中,需要根据大量测量数据在线完成疲劳寿命估算。值得注意的是,FFRA 的高效率归功于简单的循环迭代,这为提高现有算法的效率提供了有益的指导。
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引用次数: 0
Hygrothermal buckling analysis of thin rectangular FGM plate with variable thickness 厚度可变的薄矩形 FGM 板的湿热屈曲分析
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-07 DOI: 10.1108/ec-09-2023-0601
Tasneem Firdous Islam, G.D. Kedar

Purpose

This paper aims to contribute novel insights into the analysis of thin functionally graded material (FGM) plates with variable thickness, considering both temperature-dependent and independent material properties, focusing on critical linear buckling temperature rise and the effect of critical linear moisture for various moisture concentrations.

Design/methodology/approach

The study derives stability and equilibrium equations for thin rectangular FGM plates under hygrothermal loading, employing classical plate theory (CPT). Buckling behavior is examined using Galerkin’s method to obtain pre-buckling force resultants.

Findings

The findings highlight significant increases in critical buckling temperature with aspect ratio, distinct temperature sensitivity between materials and increasing moisture susceptibility with larger aspect ratios. These insights inform material selection and design optimization for FGM plates under hygrothermal loading, enhancing engineering applications.

Research limitations/implications

This research primarily focuses on hypothetical scenarios and mathematical model development and analysis.

Originality/value

This paper presents original contributions in the field by addressing the hygrothermal buckling analysis of thin FGM rectangular plates with variable thickness, utilizing CPT, thereby enriching the understanding of structural behavior in varying environmental conditions.

目的 本文旨在为分析厚度可变的薄型功能分级材料 (FGM) 板贡献新见解,同时考虑与温度相关的和独立的材料特性,重点关注临界线性屈曲温升和各种湿度浓度下临界线性湿度的影响。研究结果研究结果表明,临界屈曲温度随长宽比的增加而显著提高,不同材料之间存在明显的温度敏感性,而且湿度敏感性随长宽比的增大而增加。研究局限性/意义本研究主要侧重于假设情景以及数学模型的开发和分析。原创性/价值本文利用 CPT 解决了厚度可变的薄 FGM 矩形板的湿热屈曲分析问题,从而丰富了对不同环境条件下结构行为的理解,为该领域做出了原创性贡献。
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引用次数: 0
Implementation of IDEAL algorithm based on Delaunay triangular mesh for 2D-compressible flows 基于德劳内三角网格的 IDEAL 算法在二维可压缩流中的应用
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-07 DOI: 10.1108/ec-02-2023-0071
Tian-Yu Wu, Jianfei Zhang, Yanjun Dai, Tao-Feng Cao, Kong Ling, Wen-Quan Tao

Purpose

To present the detailed implementation processes of the IDEAL algorithm for two-dimensional compressible flows based on Delaunay triangular mesh, and compare the performance of the SIMPLE and IDEAL algorithms for solving compressible problems. What’s more, the implementation processes of Delaunay mesh generation and derivation of the pressure correction equation are also introduced.

Design/methodology/approach

Programming completely in C++.

Findings

Five compressible examples are used to test the SIMPLE and IDEAL algorithms, and the comparison with measurement data shows good agreement. The IDEAL algorithm has much better performance in both convergence rate and stability over the SIMPLE algorithm.

Originality/value

The detail solution procedure of implementing the IDEAL algorithm for compressible flows based on Delaunay triangular mesh is presented in this work, seemingly first in the literature.

目的介绍基于 Delaunay 三角网格的二维可压缩流 IDEAL 算法的详细实现过程,并比较 SIMPLE 算法和 IDEAL 算法在解决可压缩问题时的性能。此外,还介绍了 Delaunay 网格生成和压力修正方程推导的实现过程。与 SIMPLE 算法相比,IDEAL 算法在收敛速度和稳定性方面都有更好的表现。独创性/价值本研究提出了基于 Delaunay 三角网格的可压缩流 IDEAL 算法的详细求解过程,这在文献中尚属首次。
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引用次数: 0
A double-loop adaptive relevant vector machine combined with Harris Hawks optimization-based importance sampling 双环自适应相关向量机与基于哈里斯-霍克斯优化的重要性采样相结合
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-02 DOI: 10.1108/ec-10-2023-0672
Xin Fan, Yongshou Liu, Zongyi Gu, Qin Yao

Purpose

Ensuring the safety of structures is important. However, when a structure possesses both an implicit performance function and an extremely small failure probability, traditional methods struggle to conduct a reliability analysis. Therefore, this paper proposes a reliability analysis method aimed at enhancing the efficiency of rare event analysis, using the widely recognized Relevant Vector Machine (RVM).

Design/methodology/approach

Drawing from the principles of importance sampling (IS), this paper employs Harris Hawks Optimization (HHO) to ascertain the optimal design point. This approach not only guarantees precision but also facilitates the RVM in approximating the limit state surface. When the U learning function, designed for Kriging, is applied to RVM, it results in sample clustering in the design of experiment (DoE). Therefore, this paper proposes a FU learning function, which is more suitable for RVM.

Findings

Three numerical examples and two engineering problem demonstrate the effectiveness of the proposed method.

Originality/value

By employing the HHO algorithm, this paper innovatively applies RVM in IS reliability analysis, proposing a novel method termed RVM-HIS. The RVM-HIS demonstrates exceptional computational efficiency, making it eminently suitable for rare events reliability analysis with implicit performance function. Moreover, the computational efficiency of RVM-HIS has been significantly enhanced through the improvement of the U learning function.

目的确保结构的安全性非常重要。然而,当结构同时具有隐含的性能函数和极小的失效概率时,传统方法很难进行可靠性分析。因此,本文提出了一种可靠性分析方法,旨在利用广受认可的相关向量机(RVM)提高罕见事件分析的效率。设计/方法/途径本文借鉴重要性取样(IS)原理,采用哈里斯鹰优化(HHO)方法确定最佳设计点。这种方法不仅能保证精度,还能帮助 RVM 逼近极限状态面。当为克里金设计的 U 学习函数应用于 RVM 时,会导致实验设计(DoE)中的样本聚类。本文通过采用 HHO 算法,创新性地将 RVM 应用于 IS 可靠性分析,提出了一种称为 RVM-HIS 的新方法。RVM-HIS 具有极高的计算效率,非常适合隐含性能函数的罕见事件可靠性分析。此外,通过改进 U 学习函数,RVM-HIS 的计算效率也得到了显著提高。
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引用次数: 0
A new efficient two-step iterative method for solving absolute value equations 求解绝对值方程的新型高效两步迭代法
IF 1.6 4区 工程技术 Q2 Engineering Pub Date : 2024-05-02 DOI: 10.1108/ec-11-2023-0781
Alamgir Khan, Javed Iqbal, Rasool Shah

Purpose

This study presents a two-step numerical iteration method specifically designed to solve absolute value equations. The proposed method is valuable and efficient for solving absolute value equations. Several numerical examples were taken to demonstrate the accuracy and efficiency of the proposed method.

Design/methodology/approach

We present a two-step numerical iteration method for solving absolute value equations. Our two-step method consists of a predictor-corrector technique. The new method uses the generalized Newton method as the predictor step. The four-point open Newton-Cotes formula is considered the corrector step. The convergence of the proposed method is discussed in detail. This new method is highly effective for solving large systems due to its simplicity and effectiveness. We consider the beam equation, using the finite difference method to transform it into a system of absolute value equations, and then solve it using the proposed method.

Findings

The paper provides empirical insights into how to solve a system of absolute value equations.

Originality/value

This paper fulfills an identified need to study absolute value equations.

目的 本研究提出了一种专门用于求解绝对值方程的两步数值迭代法。所提出的方法对于求解绝对值方程具有重要价值和效率。我们提出了一种求解绝对值方程的两步数值迭代法。我们的两步法由预测-修正技术组成。新方法使用广义牛顿法作为预测步骤。四点开放牛顿-科茨公式被视为校正步骤。本文详细讨论了所提方法的收敛性。这种新方法简单有效,对求解大型系统非常有效。我们考虑了梁方程,使用有限差分法将其转化为绝对值方程组,然后使用提出的方法求解。
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引用次数: 0
期刊
Engineering Computations
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