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A firefly algorithm based hybrid method for structural topology optimization 一种基于萤火虫算法的结构拓扑优化混合方法
Q1 Mathematics Pub Date : 2020-11-16 DOI: 10.1186/s40323-020-00183-0
Hailu Shimels Gebremedhen, D. Woldemichael, F. M. Hashim
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引用次数: 5
Constrained multi-fidelity surrogate framework using Bayesian optimization with non-intrusive reduced-order basis 基于非侵入性降阶基的贝叶斯优化约束多保真代理框架
Q1 Mathematics Pub Date : 2020-11-12 DOI: 10.1186/s40323-020-00176-z
Hanane Khatouri, T. Benamara, P. Breitkopf, Jean Demange, Paul Feliot
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引用次数: 2
Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin 基于高阶不连续伽辽金的Brinkman惩罚的运动几何可压缩流动模拟
Q1 Mathematics Pub Date : 2020-10-21 DOI: 10.21203/rs.3.rs-93466/v1
N. E. Pour, Anand Nikhil, H. Klimach, S. Roller
In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to model moving wall boundaries for compressible fluid flow simulations. High-order approximations are especially of interest as they require few degrees of freedom to represent smooth solutions accurately. This reduced memory consumption is attractive on modern computing systems where the memory bandwidth is a limiting factor. Due to their low dissipation and dispersion they are also of particular interest for aeroacoustic problems. However, a major problem for the high-order discretization is the appropriate representation of wall geometries. In this work we look at the Brinkman penalization technique, which addresses this problem and allows the representation of geometries without modifying the computational mesh. The geometry is modelled as an artificial porous medium and embedded in the equations. As the mesh is independent of the geometry with this method, it is not only well suited for high-order discretizations but also for problems where the obstacles are moving. We look into the deployment of this strategy by briefly discussing the Brinkman penalization technique and its application in our solver and investigate its behavior in fundamental one-dimensional setups, such as shock reflection at a moving wall and the formation of a shock in front of a piston. This is followed by the application to setups with two and three dimensions, illustrating the method in the presence of curved surfaces.
在这项工作中,我们研究了Brinkman体积惩罚技术在高阶不连续伽辽金方法的背景下,模拟可压缩流体流动模拟的移动壁面边界。高阶近似是特别有趣的,因为它们需要很少的自由度来准确地表示光滑解。这种减少的内存消耗在内存带宽是一个限制因素的现代计算系统上很有吸引力。由于它们的低耗散和色散,它们也对气动声学问题特别感兴趣。然而,高阶离散化的一个主要问题是墙体几何形状的适当表示。在这项工作中,我们研究了Brinkman惩罚技术,它解决了这个问题,并允许在不修改计算网格的情况下表示几何形状。几何结构被模拟为人工多孔介质并嵌入到方程中。由于网格与几何无关,该方法不仅适用于高阶离散,而且适用于障碍物运动的问题。我们通过简要讨论Brinkman惩罚技术及其在求解器中的应用来研究该策略的部署,并研究其在基本一维设置中的行为,例如运动壁面的冲击反射和活塞前方冲击的形成。接下来是二维和三维设置的应用,说明了存在曲面的方法。
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引用次数: 1
FErdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${text {FE}}^r$$end{document} method with surrogate localization m FErdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${text {FE}}^r$$end{document} method with surrogate localization m
Q1 Mathematics Pub Date : 2020-10-06 DOI: 10.1186/s40323-020-00175-0
Ryoichi Hatano, S. Matsubara, Shuji Moriguchi, K. Terada, J. Yvonnet
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引用次数: 1
Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle 基于变分最小化原理的瞬态化学-力学过程的计算均匀化
Q1 Mathematics Pub Date : 2020-07-25 DOI: 10.1186/s40323-020-00161-6
E. Polukhov, Marc‐André Keip
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引用次数: 7
Correction to: Enhanced numerical integration scheme based on image-compression techniques: application to fictitious domain methods 修正:基于图像压缩技术的增强数值积分方案:在虚拟域方法中的应用
Q1 Mathematics Pub Date : 2020-07-09 DOI: 10.1186/s40323-020-00165-2
Márton Petö, F. Duvigneau, Sascha Eisenträger
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引用次数: 0
On the use of neural networks to evaluate performances of shell models for composites 应用神经网络评价复合材料壳体模型的性能
Q1 Mathematics Pub Date : 2020-07-07 DOI: 10.1186/s40323-020-00169-y
M. Petrolo, E. Carrera
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引用次数: 9
A specialised finite element for simulating self-healing quasi-brittle materials 用于模拟自修复准脆性材料的专用有限元
Q1 Mathematics Pub Date : 2020-07-02 DOI: 10.1186/s40323-020-00171-4
B. Freeman, Pedro Bonilla-Villalba, I. Mihai, W. Alnaas, A. Jefferson
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引用次数: 11
An improved quadrilateral shell element based on the Hu–Washizu functional 一种改进的四边形壳单元
Q1 Mathematics Pub Date : 2020-06-13 DOI: 10.1186/s40323-020-00162-5
W. Wagner, F. Gruttmann
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引用次数: 9
A firefly algorithm based hybrid method for structural topology optimization 一种基于萤火虫算法的结构拓扑优化混合方法
Q1 Mathematics Pub Date : 2020-06-09 DOI: 10.21203/rs.3.rs-34017/v1
Hailu Shimels Gebremedhen, D. Woldemichael, F. M. Hashim
In this paper, a firefly algorithm based hybrid algorithm through retaining global convergence of firefly algorithm and ability to generate connected topologies of optimality criteria (OC) method is proposed as an alternative method to solve stress-based topology optimization problems. The lower and upper limit of design variables (0 and 1) were used to find initial material distribution to initialize the firefly algorithm based section of the hybrid algorithm. Input parameters, the number of fireflies, and the number of function evaluations were determined before the implementation of the firefly algorithm to solve formulated problems. Since the direct application of the firefly algorithm cannot generate connected topologies, outputs from the firefly algorithm were used as an initial input material distribution for the OC method. The proposed method was validated using two-dimensional benchmark problems and the results were compared with results using the OC method. Weight percentage reduction, maximum stress-induced, optimal material distribution, and compliance were used to compare results. Results from the proposed method showed that the proposed method can generate connected topologies which are free from the interference of end-users, and only depend on boundary conditions or design variables. From the results, the objective function (weight of the design domain) can be further reduced in the range of 5 to 15% compared to the OC method.
本文提出了一种基于萤火虫算法的混合算法,它保留了萤火虫算法的全局收敛性和最优性准则(OC)方法的连通拓扑生成能力,作为解决基于应力的拓扑优化问题的替代方法。利用设计变量(0和1)的上下限寻找初始材料分布,初始化混合算法中基于萤火虫算法的部分。在萤火虫算法求解公式化问题之前,确定了输入参数、萤火虫数量和函数评估次数。由于直接应用萤火虫算法无法生成连通拓扑,因此将萤火虫算法的输出作为OC方法的初始输入材料分布。利用二维基准问题对该方法进行了验证,并与OC方法的结果进行了比较。重量百分比减少,最大应力诱导,最佳材料分布和顺应性用于比较结果。结果表明,该方法可以生成不受终端用户干扰、仅依赖于边界条件或设计变量的连通拓扑。从结果来看,与OC方法相比,目标函数(设计域的权重)可以进一步减小5 - 15%。
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引用次数: 5
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Advanced Modeling and Simulation in Engineering Sciences
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