A Case Study of Nearshore Wave Transformation Processes along the Coast of Mexico near the Laguna Verde Nuclear Power Plant Using a Fast Simulation Method by Israel-Enrique Herrera-Díaz, Carlos Couder-Castañeda, Hermilo Ramírez-León

“…A numerical model based on the mild-slope equation of water wave propagation over complicated bathymetry, taking into account the combined effects of refraction, diffraction, and reflection due to breakwater, is presented. The numerical method was developed using a split proposed version of the mild-slope equation and solved by an implicit method in a finite volume grid; this technique easily allows model the wave effects caused by the breakwater building in coastal waters, where industrial and other economic activities take place. …”
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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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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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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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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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Vibration of a Cylindrical Tunnel under a Centric Point-Source Explosion by Yuetang Zhao, Cheng Chu, Anastasios Vafeidis, Jie Li

“…The governing equation of the motion is a fourth-order partial differential equation, for which a numerical method combining finite difference with the implicit Newmark-β method was adopted. …”
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Experimental and Numerical Investigations of Pressure Field of Curved Shell Structure Subjected to Interior Blast by Jialu Ma, Feng Fan, Lingxin Zhang, Chengqing Wu, Xudong Zhi

“…A parametrical analysis of the interior blast simulations was conducted based on this numerical method. The blast loading values at specific positions were obtained with the key parameters varied within a reasonable scope. …”
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