Effect Study of Aperture Distribution on the Capillary Pressure-Saturation Relation for the Single Fracture by Yuan Wang, Chenglong Wu, Yuntian Zhou

“…A systematic numerical method was presented to investigate the effect of aperture distribution on the relation of capillary pressure versus fluid saturation (P-S relation) for a single fracture. …”
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Spectrum sensing algorithm based on stochastic resonance and non-central F-distribution by Yuanmeng FAN, Shunlan LIU

“…To solve the problem that the detection probability of the spectrum sensing algorithm is low and the number of samples required for detection is large at low signal-to-noise ratio (SNR), a spectrum sensing algorithm based on stochastic resonance and non-central F-distribution (SRNF) was proposed.By introducing direct-current stochastic resonance noise, the system model of SRNF was established, and the expression of test statistic, false alarm probability and detection probability, and the expression of decision threshold obeying non-central F-distribution were deduced, and the optimal stochastic resonance noise parameter was solved by numerical method.The simulation results show that the detection performance of the proposed SRNF algorithm is better than that of energy detection (ED) algorithm and blind spectrum sensing based on F-distribution (BSF) algorithm at a low SNR.When the false alarm probability is 5%, the SNR is -12 dB, and the number of samples is 200, the detection probability of the proposed algorithm is 95%, which is 34% and 67% higher than BSF algorithm and ED algorithm, respectively.When the SNR is -12 dB, and the detection probability reaches 95%, the number of samples required by the proposed algorithm is 210, which saves 340 samples compared to the BSF algorithm.Furthermore, the proposed algorithm is less affected by noise uncertainty than ED algorithm.…”
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Performance Evaluation of an Air-Conditioning Compressor Part II: Volute Flow Predictions by Yu-Tai Lee, Thomas W. Bein

“…A numerical method that solves the Reynolds-averaged Navier-Stokes equations is used to study an inefficient component of a shipboard air-conditioning HCFC-124 compressor system. …”
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Aerodynamic Load Reduction on a Supercritical Airfoil Using Tilted Microjets by Cheng Xue, Feng Deng, Haifeng Wang, Ning Qin

“…This paper presents a study of aerodynamic load reduction on a supercritical airfoil using tilted microjets by solving the Reynolds-averaged Navier-Stokes (RANS) equations. The numerical method was first validated against the experimental and previous numerical data. …”
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EFFECTS OF CURVATURE OF LOADING SURFACE ON MECHANICAL PROPERTIES OF PIEZOMAGNETIC MATERIAL SHEETS by YIN YiHui, WU JuYing, WANG FuYi, GAO Yang

“…For this application background and taking the cylindrical contact interfaces issue as an example,a finite element model consisting of a loading part with a convex cylindrical surface,a soft piezomagnetic sensitive material sheet,and a fixed part with a concave cylindrical surface is developed by using the approximate numerical method for analyzing combined structure with soft foam parts suggested previously by the author. …”
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Investigation of Nonlinear Behaviour of Semiburied Cylindrical Concrete Reservoir without Dynamic Load Effect by Mazhar Fatahi, Mahdi Meftah Halghi, Mehran Soltani Tehrani

“…The seismic behaviour of reinforced and prestressed concrete reservoirs was compared based on their support conditions. The powerful numerical method FEM was used to study about the nonlinear behaviour of cylindrical reservoirs using static and dynamic nonlinear analysis. …”
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An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher–Kolmogorov–Petrovsky–Piskunov Equation by Sangkwon Kim, Chaeyoung Lee, Hyun Geun Lee, Hyundong Kim, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Seokjun Ham, Junseok Kim

“…In this study, we present an unconditionally stable positivity-preserving numerical method for the Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) equation in the one-dimensional space. …”
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Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods by Gbeminiyi Musibau Sobamowo, Suraju Aremu Oladosu, Rafiu Olalekan Kuku, Antonio Marcos de Oliveira Siqueira

“…There are good agreements between the results of the homotopy perturbation and differential transform method with the results of the numerical method. Also, the results of the two approximate analytical methods agree very well with each other. …”
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Kinematical Research of Free-Floating Space-Robot System at Position Level Based on Screw Theory by Yong Wang, Xiaojun Liang, Kejie Gong, Ying Liao

“…Due to the complexity of inverse kinematical equations, a numerical method is proposed based on Newton’s iteration method. …”
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Case Studies on Enhanced Heat Transfer in a Square Duct with Modified V-Shaped Ribs (MVR): A CFD Analysis by Amnart Boonloi, Withada Jedsadaratanachai

“…The present problem is solved by the numerical method (commercial code). The flow and heat transfer features of the TSD are illustrated. …”
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Chemical Potential-Based Modeling of Shale Gas Transport by Jisheng Kou, Lingyun Chen, Amgad Salama, Jianchao Cai

“…Numerical experiments are also performed to validate the model and numerical method.…”
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Analysis of Dynamic Characteristics of the Multistage Planetary Gear Transmission System with Friction Force by Zhengming Xiao, Fu Chen, Kongliang Zhang

“…Considering the time-varying influence of friction on the tooth surface under the condition of fluid lubrication, the vibration response under parametric excitation is solved by a numerical method. A multistage planetary transmission test bench is built in the back-to-back form so as to test the vibration of the two-stage planetary gearbox. …”
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Development of a New Multi-step Iteration Scheme for Solving Non-Linear Models with Complex Polynomiography by Amanullah Soomro, Amir Naseem, Sania Qureshi, Nasr Al Din Ide

“…Solving such equations requires numerical methods having higher-order convergence with cost-effectiveness, for the equations do not have exact solutions. …”
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Numerical Investigation of Complex Thermal Coal-Gas Interactions in Coal-Gas Migration by Xiaoyan Ni, Peng Gong, Yi Xue

“…Then, this complex model is implemented into a finite element (FE) model and solved through the numerical method. Its reliability was verified by comparing with historical data. …”
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Study on the Dynamic Response of Landslide Subjected to Earthquake by the Improved DDA Method by Xiu-Li Zhang, Bi-Ting Xie, Hao Wang, Yu-Yong Jiao

“…The displacements at monitoring points caused by Badong earthquake are calculated and compared with the field data, verifying the numerical method and model. Further, a strong earthquake with the peak acceleration of 1 g is assumed to act on the landside, the initiation and evolution process of landslide is simulated, and the movement features of landslide are discussed. …”
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Study on Tooth Profile Synthesis and Nonlinear Mechanical Property of Dual Shock Wave Sleeve Movable Tooth Transmission by Liu Jun, An Zijun

“…A non-Hertz contact analysis model is established for the structural characteristics of finite long line contact meshing of each meshing pair of the sleeve，and the effective contact area and contact fatigue stress of each mesh pair are solved by numerical method. The contact fatigue strength of each mesh pair and the bending fatigue strength of the pin are analyzed. …”
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Numerical Study of Ground Vibrations Caused by Cylindrical Wave Propagation in a Rock Mass with a Structural Plane by Shaobo Chai, Wei Tian, Liyuan Yu, Hao Wang

“…The current study presents a numerical study on the ground motion caused by cylindrical P-wave propagation across a rock mass with a structural plane using a discrete element numerical method, UDEC. Firstly, the accuracy and validity of the cylindrical wave propagation simulation in UDEC and of the induced ground vibration are confirmed by comparison with the theoretical results for a special case that there is no structural plane in a rock mass. …”
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Static and Dynamic Mechanical Properties of Long-Span Cable-Stayed Bridges Using CFRP Cables by Mei Kuihua, Sun Shengjiang, Jin Guoqing, Sun Yamin

“…The static and dynamic performances of the two kinds of bridges with a span of 1000 m were studied using the numerical method. The effects of geometric nonlinear factors on static performance of the two kinds of cable-stayed bridges were analyzed. …”
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Optimal investment game for two regulated players with regime switching by Lin Xu, Linlin Wang, Hao Wang, Liming Zhang

“…In the second case, the associated HJBI equation was a parabolic PDE. We provided a numerical method using a Markov chain approximation scheme and presented several numerical examples to illustrate the impact of regime switching and random time solvency on optimal policies.…”
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Notch Effect on Plastic Deformation of Metallic Glass: A Numerical Study by Revised Free-Volume Theory by J. F. Yan, W. J. Meng, Z. Chen, H. Guo, X. G. Yan

“…By means of a revised free-volume theory, the notch effect on metallic glass was systematically investigated by the numerical method. Simulations on specimens without notches demonstrated that the parameters being determined in this work could reasonably describe the strength asymmetry of tension and compression. …”
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