A Numerical Study of Initiation and Migration of Trapped Oil in Capillaries with Noncircular Cross Sections by Long Long, Yajun Li, Houjian Gong, Mingzhe Dong

“…By analyzing the shape of the trapped oil after reaching a steady state at different velocities, the nonstart and start conditions could be distinguished and the accuracy of the numerical method was verified by a comparison with an analytical method (the MS-P method). …”
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Stigating Newton's Interpolation and Lagrange Method Compared to Runge Kutt A Method in Solving First Order Differential Equations. by Gumisirlza, Catheline

“…For y(0.01) a combination of Newton's interpolation and Lagrange gives an absolute error of 0. 000084 as compared to 0. 024613585 absolute error obtained by Runge Kutta second order and the study recommends that the Numerical method used (Runge Kutta) is cumbersome and has a bigger percentage error. …”
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Effects of Different Penetration Patterns on a Fault during Underground Fluid Injection by Xiaochen Wei, Qi Li, Xiaying Li, Zhiyong Niu, Xiangjun Liu, Lixi Liang

“…We used the finite element-based numerical method to assess the influence of the effective lateral and vertical reservoir transmissivity in each fault penetration pattern. …”
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A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method by Xiaolong Li, Meimei Hao, Yanhui Zhong, Bei Zhang, Fuming Wang, Lianbang Wang

“…The purpose of the present work is to develop a quasi-3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). …”
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Investigation on Viscoelastic Poisson’s Ratio of Composite Materials considering the Effects of Dewetting by Huiru Cui, Weili Ma, Xuan Lv, Changyuan Li, Yimin Ding

“…A direct numerical method is introduced herein to investigate time-dependent Poisson’s ratio of solid propellant based on a representative volume element (RVE) model. …”
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Measurement of Degree of Compaction of Fine-Grained Soil Subgrade Using Light Dynamic Penetrometer by Junhui Zhang, Yongsheng Yao, Jianlong Zheng, Xiangqun Huang, Tian Lan

“…In addition, the water content should be determined firstly while using the prediction equation which is proposed in this study. Therefore, a numerical method of the water content of a subgrade was developed, and the predicted and measured water contents were compared, which shows a relatively high relativity. …”
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Optimal Design of Intracranial Hematoma Puncture Drainage Tube Based on Adaptive Bifurcation Algorithm by Jincai Chang, Liyan Jia, Fei Yu, Xinghui Hao, Ze Lu, Zhuoyang Li

“…The locations of the bifurcation points of the main drainage tubes were calculated by the numerical method, and the telescopic lengths and directions of multiple subdrainage tubes were obtained. …”
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Numerical Investigation of the Influence of Roof Fracturing Angle on the Stability of Gob-Side Entry Subjected to Dynamic Loading by Zhibiao Guo, Lei Zhang, Zhibo Ma, Feixiang Zhong, Jingchao Yu, Siming Wang

“…Additionally, the dynamic responses were found to be relatively moderate. The numerical method could provide a significant reference for the design of FRME approach.…”
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Numerical simulation and experimental investigation of pressure riveting connection using the smoothed particle Galerkin method by Jianhui Zhang, Tongxiang Huang, Xuan Qin, Changcheng Yin, Xianchao Yan

“…These comparisons validate the accuracy and limitations of the numerical method. Pressure-riveting connections are extensively used in the high-voltage distribution boxes of electric vehicles, and the quality of these connections is crucial for ensuring vehicle safety. …”
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Numerical Statistic Approach for Peak Factor of Non-Gaussian Wind Pressure on Building Claddings by Tao Ye, Ledong Zhu, Zhongxu Tan

“…Based on the reliability theory, the true distribution of wind pressure time history was approached infinitely through an efficient numerical method in the process of stepwise search. Compared with the classical Sadek–Simiu method, the proposed stepwise search method achieves improved overall accuracy and applicability. …”
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Dynamic Response Analyses of Plastic Greenhouse Structure considering Fluctuating Wind Load by Yingchun Jiang, Yikui Bai, Cong Wang, Yonggang Wang, Xinfu Pang

“…Second, the accuracy and effectiveness of the proposed numerical method are verified by an example in which the bending wave of a variable cross section beam with free ends propagates. …”
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Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate by S. Akhlaghi, M. Tavassoli Kajani, M. Allame

“…We have obtained the error bounds for the numerical method using which we solved the fractional Bagley–Torvik equation with initial and boundary conditions. …”
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A New Approach for Solving Rub-Impact Dynamic Characteristics of Shrouded Blades Based on Macroslip Friction Model by Guofang Nan, Jianyang Lou, Chuanchong Song, Min Tang

“…The Galerkin method is adopted to reduce the dimension of the equation to obtain the 1-DOF equation of motion, and the dynamic response of the shrouded blade is solved by Runge–Kutta numerical method. The effects of parameters such as the gap of shrouds, the mass of the tip, the contact angle, and the normal stiffness between the shrouded blades on the damping characteristics are discussed. …”
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Investigation of Complex Characteristics of Waterjet Propulsion Device with Intake Grid by Can Luo, Shuaihao Lei, Chuan Wang, Li Cheng, Chenzhi Xia, Di Zhang, Qiang Guo

“…Rather than the circular and rectangular intake grid, the streamlined intake grid can improve the hydraulic performance of the waterjet propulsion device. The numerical method is proved to be correct as the consistence of the hydraulic characteristic between the test and simulated results. …”
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Wave Based Method for Free Vibration Analysis of Ring Stiffened Cylindrical Shell with Intermediate Large Frame Ribs by Meixia Chen, Jianhui Wei, Kun Xie, Naiqi Deng, Guoxiang Hou

“…Wave based method which can be recognized as a semi-analytical and semi-numerical method is presented to analyze the free vibration characteristics of ring stiffened cylindrical shell with intermediate large frame ribs for arbitrary boundary conditions. …”
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Numerical and experimental investigation of the steering performance of a ringsail parachute by HUANG Yunyao, WU Shiqing, WANG Yongbin, ZHANG Yang

“…Comparison between the results obtained by the wind tunnel test and numerical simulation shows that the trend of drag coefficient and drag characteristic curves are basically consistent, and the relative error between them is within 20%, indicating the reliability of the numerical method.…”
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Size effect on the flexural behavior of UHPFRC beams and RC beams strengthened with UHPFRC by Felipe Augusto da Silva Barbosa, Ramoel Serafini, Antonio Domingues de Figueiredo, Luís Antônio Guimarães Bitencourt Júnior

“…The flexural capacities computed using the numerical method agreed with those obtained experimentally from 14 experimental programs, with an average numerical-experimental ratio of 1.09 and a correlational coefficient of 0.94. …”
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Effect of Lower Surface Roughness on Nonlinear Hydraulic Properties of Fractures by Jinglong Li, Xianghui Li, Bo Zhang, Bin Sui, Pengcheng Wang, Mi Zhang

“…The results show that the proposed numerical method is valid by comparisons between numerically calculated results with theoretical values of three parallel-plate models. …”
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Numerical Simulation of Rock Plate Cutting with Three Sides Fixed and One Side Free by Zhenguo Lu, Lirong Wan, Qingliang Zeng, Xin Zhang, Kuidong Gao

“…The comparison between experimental and numerical results indicated that the numerical method is effective. A computer code LS-DYNA (3D) was employed to study the cutting performance of a conical pick. …”
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Numerical and Experimental Study of Friction Damping Blade Attachments of Rotating Bladed Disks by D. Charleux, C. Gibert, F. Thouverez, J. Dupeux

“…Nonlinear behavior observed experimentally at resonances was well reproduced and an acceptable correlation was found with experimental resonant frequencies, amplitudes, and amount of damping throughout the spinning speed and excitation level range. The proposed numerical method can therefore serve to enhance the prediction of the alternating stresses in bladed disk assemblies.…”
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