Multi-Structure-Based Refractive Index Sensor and Its Application in Temperature Sensing by Zhaokun Yan, Shubin Yan, Ziheng Xu, Changxing Chen, Yuhao Cao, Xiaoran Yan, Chong Wang, Taiquan Wu

“…The characterization of nanoscale sensors is considered using an approximate numerical method (finite element method). The simulation results show that the sharp asymmetric resonance generated by the interaction between the discrete narrow-band mode and the continuous wideband mode is called Fano resonance. …”
Get full text

Visualization of Gas Diffusion-Sorption in Coal: A Study Based on Synchrotron Radiation Nano-CT by Yingfeng Sun, Yixin Zhao, Hongwei Zhang, Cun Zhang

“…The gas diffusion-sorption coupled model and numerical method can help to investigate the effect of microstructure on gas diffusion and ad-/desorption and provides a possibility to investigate the multiscale gas transportation and adsorption in coal pore-fracture system.…”
Get full text

A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Type by Yang Liu, Hong Li, Zhichao Fang, Siriguleng He, Jinfeng Wang

“…We propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), for fourth-order partial differential equation of parabolic type. …”
Get full text

Investigation of the Aerodynamic Characteristics of Platoon Vehicles Based on Ahmed Body by Jianbin Luo, Ke Mi, Dongli Tan, Zhiqing Zhang, Mingsen Li, Jun Qing, Huiqiong Huang

“…Firstly, the realizable k-ε model was used to verify the numerical method based on a single 35° Ahmed body. Then, the aerodynamic characteristics such as drag characteristics, surface pressure, wake structure, and turbulent kinetic energy distribution were analyzed for the platoon of two and three 35° Ahmed bodies. …”
Get full text

Modeling of Functionally Graded Material Shells by Khalil Sihame, Elmhaia Oussama, Hamdaoui Abdellah, Braikat Bouazza, Hu Heng, Boukamel Adnane, Damil Noureddine

“…In this research, we propose an algorithm to study the buckling of thin Functionally Graded Material (FGM) shells, utilizing a novel implementation of the asymptotic numerical method (ANM). Our approach integrates a three-step process: representation of variables and loading conditions through a truncated Taylor series, discretization using the finite element method (FEM), and advancement via a continuation method. …”
Get full text

Numerical Study on the Movement Laws of Overlying Strata in Shallow-Buried Stope Based on the Goaf Compaction Effect by Guangchao Zhang, Guangzhe Tao, Miao Chen, You Li, Pan Li, Yonghui Lai

“…The comparison between the numerical and field measurement results demonstrates that the new evaluation method using shear-tensile strain behaviors can accurately predicate the height of the two zones. The proposed numerical method could be a viable alternative approach to two zones height calculation.…”
Get full text

Three-Point Iterated Interval Half-Cutting for Finding All Local Minima of Unknown Single-Variable Function by Romanuke Vadim

“…A numerical method is suggested to find all local minima and the global minimum of an unknown single-variable function bounded on a given interval regardless of the interval length. …”
Get full text

Numerical and Experimental Identification of Seven-Wire Strand Tensions Using Scale Energy Entropy Spectra of Ultrasonic Guided Waves by Ji Qian, Xin Chen, Limin Sun, Guowen Yao, Xu Wang

“…This paper proposes a method to identify strand tensions based on scale energy entropy spectra of ultrasonic guided waves (UGWs). A numerical method was first developed to simulate UGW propagation in a seven-wire strand, employing the wavelet transform to extract UGW time-frequency energy distributions for different loadings. …”
Get full text

Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions by M. G. Sobamowo, A. T. Akinshilo, A. A. Yinusa

“…In order to verify the accuracy of the developed analytical solutions, the results of the homotopy perturbation method are compared with the results of the numerical method using the shooting method coupled with the fourth-order Runge–Kutta, and good agreements are established. …”
Get full text

An Analysis of Loess Tunnel Failure and Its Mechanism by Shuai Shao, Shengjun Shao, Jun Li, Bing Qiu

“…The formation mechanism of different failures in the course of loess tunnel construction is revealed by numerical analysis, in which the structural property of loess, loess strata, geological conditions, and excavating and supporting actions are simulated by the numerical method. A reference is provided for the prevention and remediation of engineering failures of a loess tunnel.…”
Get full text

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). …”
Get full text

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. …”
Get full text

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. …”
Get full text

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). …”
Get full text

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. …”
Get full text

Upper bound stability analysis of tiered geosynthetic-reinforced soil wall by Chengzhi Xiao, Xiangsheng Meng, Shan Gao, Luqiang Ding

“…The proposed method was firstly validated by the existing results from the centrifuge test and the numerical method, and then a parametric study was performed to investigate the effects of the cohesionless backfill friction angle φ1 and the wall geometric parameters including the offset distance, the total wall height, the batter angle δ, the number of tiers n, and wall height ratio of adjacent tiers on the dimensionless equivalent earth pressure coefficient KT. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text