Guest Editors
Prof. Yumin Cheng, Shanghai University, China
Dr. Wenqing Wang, Helmholtz Centre for Environmental Research – UFZ, Germany
Prof. Rongjun Cheng, Ningbo University,China
Summary
With the developments of science and engineering techniques, numerical simulation and data analysis play more and more important roles. Numerical simulations in science, engineering and society fields have developed rapidly in the recent decades. In recent years, the study of data analysis has been paid more attention because of the development of big data. And the numerical methods in artificial intelligence are also important.
Numerical simulation for various problems in science and engineering fields is based on the numerical methods, such as finite element method, boundary element method and meshless method. Various numerical methods are presented for solving the problems in different fields, and the corresponding computational efficiency, accuracy and convergence are studied as well. With the development of big data, numerical simulation combined data analysis has become more important for the problems in science, engineering and society fields. And the numerical methods in artificial intelligence should be investigated too. The numerical methods in science and engineering should be combined with the ones in big data and artificial intelligence to solve various complicated problems in engineering fields.
We particularly take an interest in manuscripts that report relevance of numerical methods in engineering analysis, data analysis and artificial intelligence. The special issue will become an international forum for researchers to summarize the most recent developments of the numerical methods in engineering analysis, data analysis and artificial intelligence within the last five years, especially for new methods and new problems. Moreover, the manuscripts on the theories of numerical methods and data analysis for complicated science, engineering or social problems are welcome. We also concern the development of the corresponding numerical methods on big data and artificial intelligence. Potential topics include, but are not limited to:
• New theories of numerical methods
• New methods for engineering analysis, data analysis and artificial intelligence
• Numerical simulation and data analysis for complicated engineering problems
• Data system and analysis in society fields
• Software or programming of numerical methods
• Future strategies of numerical methods
Keywords
Numerical method; Finite element method; Boundary element method; Meshless method; Numerical simulation; Data analysis; Artificial intelligence
Published Papers
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Open Access
ARTICLE
A MySQL-Based Software System of Urban Land Planning Database of Shanghai in China
Pei Yin, Jing Cheng
CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2387-2405, 2023, DOI:10.32604/cmes.2023.023666
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract With the development of the digital city, data and data analysis have become more and more important. The database is the foundation of data analysis. In this paper, the software system of the urban land planning database of Shanghai in China is developed based on MySQL. The conceptual model of the urban land planning database is proposed, and the entities, attributes and connections of this model are discussed. Then the E-R conceptual model is transformed into a logical structure, which is supported by the relational database management system (DBMS). Based on the conceptual and logical structures, by using SpringBoot as…
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Open Access
ARTICLE
A Dimension-Splitting Variational Multiscale Element-Free Galerkin Method for Three-Dimensional Singularly Perturbed Convection-Diffusion Problems
Jufeng Wang, Yong Wu, Ying Xu, Fengxin Sun
CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 341-356, 2023, DOI:10.32604/cmes.2022.023140
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract By introducing the dimensional splitting (DS) method into the multiscale interpolating element-free Galerkin (VMIEFG) method, a dimension-splitting multiscale interpolating element-free Galerkin (DS-VMIEFG) method is proposed for three-dimensional (3D) singular perturbed convection-diffusion (SPCD) problems. In the DS-VMIEFG method, the 3D problem is decomposed into a series of 2D problems by the DS method, and the discrete equations on the 2D splitting surface are obtained by the VMIEFG method. The improved interpolation-type moving least squares (IIMLS) method is used to construct shape functions in the weak form and to combine 2D discrete equations into a global system of discrete equations for the…
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Open Access
ARTICLE
Magnetic Field Effect and Heat Transfer of Nanofluids within Waveform Microchannel
Mehdi Moslemi, Motahare Mahmoodnezhad, S. A. Edalatpanah, Sulima Ahmed Mohammed Zubair, Hamiden Abd El-Wahed Khalifa
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 1957-1973, 2023, DOI:10.32604/cmes.2022.021481
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In this research, a numerical study of mixed convection of non-Newtonian fluid and magnetic field effect along a vertical wavy surface was investigated. A simple coordinate transformation to transform wavy surface to a flat surface is employed. A cubic spline collocation numerical method is employed to analyze transformed equations. The effect of various parameters such as Reynolds number, volume fraction 0-, Hartmann number, and amplitude of wave length was evaluated in improving the performance of a wavy microchannel. According to the presented results, the sinusoidal shape of the microchannel has a direct impact on heat transfer. By increasing the microchannel…
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Open Access
ARTICLE
Tensor Train Random Projection
Yani Feng, Kejun Tang, Lianxing He, Pingqiang Zhou, Qifeng Liao
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 1195-1218, 2023, DOI:10.32604/cmes.2022.021636
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract This work proposes a Tensor Train Random Projection (TTRP) method for dimension reduction, where pairwise distances can be approximately preserved. Our TTRP is systematically constructed through a Tensor Train (TT) representation with TT-ranks equal to one. Based on the tensor train format, this random projection method can speed up the dimension reduction procedure for high-dimensional datasets and requires fewer storage costs with little loss in accuracy, compared with existing methods. We provide a theoretical analysis of the bias and the variance of TTRP, which shows that this approach is an expected isometric projection with bounded variance, and we show that…
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Open Access
ARTICLE
LaNets: Hybrid Lagrange Neural Networks for Solving Partial Differential Equations
Ying Li, Longxiang Xu, Fangjun Mei, Shihui Ying
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 657-672, 2023, DOI:10.32604/cmes.2022.021277
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract We propose new hybrid Lagrange neural networks called LaNets to predict the numerical solutions of partial differential equations. That is, we embed Lagrange interpolation and small sample learning into deep neural network frameworks. Concretely, we first perform Lagrange interpolation in front of the deep feedforward neural network. The Lagrange basis function has a neat structure and a strong expression ability, which is suitable to be a preprocessing tool for pre-fitting and feature extraction. Second, we introduce small sample learning into training, which is beneficial to guide the model to be corrected quickly. Taking advantages of the theoretical support of traditional…
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Open Access
ARTICLE
Improved Staggered Algorithm for Phase-Field Brittle Fracture with the Local Arc-Length Method
Zhijian Wu, Li Guo, Jun Hong
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 611-636, 2023, DOI:10.32604/cmes.2022.020694
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract The local arc-length method is employed to control the incremental loading procedure for phase-field brittle
fracture modeling. An improved staggered algorithm with energy and damage iterative tolerance convergence
criteria is developed based on the residuals of displacement and phase-field. The improved staggered solution
scheme is implemented in the commercial software ABAQUS with user-defined element subroutines. The layered
system of finite elements is utilized to solve the coupled elastic displacement and phase-field fracture problem. A
one-element benchmark test compared with the analytical solution was conducted to validate the feasibility and
accuracy of the developed method. Our study shows that the result…
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Open Access
ARTICLE
An Intelligent Optimization Method of Reinforcing Bar Cutting for Construction Site
Zhaoxi Ma, Qin Zhao, Tianyou Cang, Zongjian Li, Yiyun Zhu, Xinhong Hei
CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 637-655, 2023, DOI:10.32604/cmes.2022.021216
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract To meet the requirements of specifications, intelligent optimization of steel bar blanking can improve resource
utilization and promote the intelligent development of sustainable construction. As one of the most important
building materials in construction engineering, reinforcing bars (rebar) account for more than 30% of the cost
in civil engineering. A significant amount of cutting waste is generated during the construction phase. Excessive
cutting waste increases construction costs and generates a considerable amount of COCO
2 emission. This study aimed
to develop an optimization algorithm for steel bar blanking that can be used in the intelligent optimization of steel
bar engineering to…
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Open Access
ARTICLE
A Parallel Computing Schema Based on IGA
Jinggang Deng, Bingquan Zuo, Huixin Luo, Weikang Xie, Jiashu Yang
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.3, pp. 965-990, 2022, DOI:10.32604/cmes.2022.020631
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In this paper, a new computation scheme based on parallelization is proposed for Isogeometric analysis. The
parallel computing is introduced to the whole progress of Isogeometric analysis. Firstly, with the help of the “tensorproduct” and “iso-parametric” feature, all the Gaussian integral points in particular element can be mapped to a
global matrix using a transformation matrix that varies from element. Then the derivatives of Gauss integral points
are computed in parallel, the results of which can be stored in a global matrix. And a middle layer is constructed to
assemble the final stiffness matrices in parallel. The numerical example results…
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Open Access
ARTICLE
The Improved Element-Free Galerkin Method for Anisotropic Steady-State Heat Conduction Problems
Heng Cheng, Zebin Xing, Miaojuan Peng
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.3, pp. 945-964, 2022, DOI:10.32604/cmes.2022.020755
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In this paper, we considered the improved element-free Galerkin (IEFG) method for solving 2D anisotropic steady-state heat conduction problems. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty method is applied to enforce the boundary conditions, thus the final discretized equations of the IEFG method for anisotropic steady-state heat conduction problems can be obtained by combining with the corresponding Galerkin weak form. The influences of node distribution, weight functions, scale parameters and penalty factors on the computational accuracy of the IEFG method are analyzed respectively, and these numerical solutions show that less computational…
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Open Access
ARTICLE
Pollution Dispersion in Urban Street Canyons with Green Belts
Xiaoxuan Zhu, Xueyan Wang, Li Lei, Yuting Zhao
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.2, pp. 661-679, 2022, DOI:10.32604/cmes.2022.020427
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In this study, numerical simulations were used to explore the effects of roadside green belt, urban street spatial
layout, and wind speed on vehicle exhaust emission diffusion in street canyon. The diffusion of different sized
particles in the street canyon and the influence of wind speed were investigated. The individual daily average
pollutant intake was used to evaluate the exposure level in a street canyon microenvironment. The central and
leeward green belts of the road were the most conducive to the diffusion of pollutants, while the positioning of the
green belts both sides of a road was least conducive to…
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Open Access
ARTICLE
Numerical Study on the Suitability of Passive Solar Heating Technology Based on Differentiated Thermal Comfort Demand
Xiaona Fan, Qin Zhao, Guochen Sang, Yiyun Zhu
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.2, pp. 627-660, 2022, DOI:10.32604/cmes.2022.020507
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract Indoor thermal comfort and passive solar heating technologies have been extensively studied. However, few studies
have explored the suitability of passive solar heating technologies based on differentiated thermal comfort demands.
This work took the rural dwellings in Northwest China as the research object. First, the current indoor and
outdoor thermal environment in winter and the mechanism of residents’ differentiated demand for indoor thermal
comfort were obtained through tests, questionnaires, and statistical analysis. Second, a comprehensive passive
optimized design of existing buildings was conducted, and the validity of the optimized combination scheme was
explored using DesignBuilder software. Finally, the suitability of…
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Open Access
ARTICLE
Mechanical Properties of Soil-Rock Mixture Filling in Fault Zone Based on Mesostructure
Mei Tao, Qingwen Ren, Hanbing Bian, Maosen Cao, Yun Jia
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.2, pp. 681-705, 2022, DOI:10.32604/cmes.2022.019522
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract Soil-rock mixture (SRM) filling in fault zone is an inhomogeneous geomaterial, which is composed of soil and rock block. It controls the deformation and stability of the abutment and dam foundation, and threatens the long-term safety of high arch dams. To study the macroscopic and mesoscopic mechanical properties of SRM, the development of a viable mesoscopic numerical simulation method with a mesoscopic model generation technology, and a reasonable parametric model is crucially desired to overcome the limitations of experimental conditions, specimen dimensions, and experiment fund. To this end, this study presents a mesoscopic numerical method for simulating the mechanical behavior…
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Open Access
ARTICLE
A Fast Element-Free Galerkin Method for 3D Elasticity Problems
Zhijuan Meng, Yanan Fang, Yumin Cheng
CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 55-79, 2022, DOI:10.32604/cmes.2022.019828
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In this paper, a fast element-free Galerkin (FEFG) method for three-dimensional (3D) elasticity problems is
established. The FEFG method is a combination of the improved element-free Galerkin (IEFG) method and the
dimension splitting method (DSM). By using the DSM, a 3D problem is converted to a series of 2D ones, and
the IEFG method with a weighted orthogonal function as the basis function and the cubic spline function as the
weight function is applied to simulate these 2D problems. The essential boundary conditions are treated by the
penalty method. The splitting direction uses the finite difference method (FDM), which can…
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Open Access
ARTICLE
A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM
Hongfen Gao, Gaofeng Wei
CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1793-1814, 2022, DOI:10.32604/cmes.2022.019687
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract By introducing the radial basis functions (RBFs) into the reproducing kernel particle method (RKPM), the calculating accuracy and stability of the RKPM can be improved, and a novel meshfree method of the radial basis RKPM (meshfree RRKPM) is proposed. Meanwhile, the meshfree RRKPM is applied to transient heat conduction problems (THCP), and the corresponding equations of the meshfree RRKPM for the THCP are derived. The two-point time difference scheme is selected to discretize the time of the THCP. Finally, the numerical results illustrate the effectiveness of the meshfree RRKPM for the THCP.
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Open Access
ARTICLE
Modeling and Analyzing for a Novel Continuum Model Considering Self-Stabilizing Control on Curved Road with Slope
Li Lei, Zihao Wang, Yong Wu
CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1815-1830, 2022, DOI:10.32604/cmes.2022.019855
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract It is essential to fully understand master the traffic characteristics of the self-stabilizing control effect and road characteristics to ensure the regular operation of transportation. Traffic flow on curved roads and slopes is irregular and more complicated than that on the straight road. However, most of the research only considers the effect of self-stabilizing in the straight road. This study attempts to bridge this deficiency from the following three aspects. First, we review the potential influencing factors of traffic flow stability, which are related to the vehicle's steady velocity, history velocity, and the turn radius of the road and the…
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Open Access
ARTICLE
Analyzing the Urban Hierarchical Structure Based on Multiple Indicators of Economy and Industry: An Econometric Study in China
Jing Cheng, Yang Xie, Jie Zhang
CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1831-1855, 2022, DOI:10.32604/cmes.2022.020178
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract For a city, analyzing its advantages, disadvantages and the level of economic development in a country is important, especially for the cities in China developing at flying speed. The corresponding literatures for the cities in China have not considered the indicators of economy and industry in detail. In this paper, based on multiple indicators of economy and industry, the urban hierarchical structure of 285 cities above the prefecture level in China is investigated. The indicators from the economy, industry, infrastructure, medical care, population, education, culture, and employment levels are selected to establish a new indicator system for analyzing urban hierarchical…
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Open Access
ARTICLE
Two-Machine Hybrid Flow-Shop Problems in Shared Manufacturing
Qi Wei, Yong Wu
CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.2, pp. 1125-1146, 2022, DOI:10.32604/cmes.2022.019754
（This article belongs to this Special Issue:
Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Abstract In the “shared manufacturing” environment, based on fairness, shared manufacturing platforms often require
manufacturing service enterprises to arrange production according to the principle of “order first, finish first”
which leads to a series of scheduling problems with fixed processing sequences. In this paper, two two-machine
hybrid flow-shop problems with fixed processing sequences are studied. Each job has two tasks. The first task is
flexible, which can be processed on either of the two machines, and the second task must be processed on the
second machine after the first task is completed. We consider two objective functions: to minimize the makespan…
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