A Computational Method for Acoustic Interaction with Large Complicated Underwater Structures Based on the Physical Mechanism of Structural Acoustics by Yongzhuang Tang, Qidou Zhou, Xiaowei Wang, Zhiyong Xie

“…Thus, the fluid outside the structure is divided into the interior domain and the exterior domain by the artificial boundary. Then, the numerical method is realized by coupling structural finite element modelling with interior fluid finite element modelling and with exterior fluid boundary element modelling. …”
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An Elastoplastic Softening Damage Model for Hydraulic Fracturing in Soft Coal Seams by Yang Hao, Yu Wu, Xianbiao Mao, Pan Li, Liqiang Zhang, Jing Tao

“…The novel model and numerical method could be used to predict the radius of hydraulic fracture-influenced area and choose the suitable injection parameters to help the on-site work more efficiently.…”
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Forecasting Disastrous Characteristics of Highway Landslides Using the Material Point Method: A Surcharge-Induced Perspective by Jian Wang, Wei Zhang, Chao-yang Xie, Qian Xiao, Yu-chen Zhu, Bo Pan

“…In this paper, taking the surcharge-induced landslides as an example, we developed the models of the material point method (MPM), a novel meshless numerical method, to calculate the large deformation of the highway landslides, with the affordable computing power. …”
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The Influence of Small Clear-Distance Tunnel Construction on Adjacent High-Voltage Transmission Tower Foundation by Aijun Yao, Jinbiao Lin, Bin Ren

“…The accuracy of the numerical method is verified compared with the theoretical solution of induced stress at the bottom of the tower foundation caused by the excavation of circular cavity. …”
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Evaluation of Simplified Analysis Procedures for a High-Rise Reinforced Concrete Core Wall Structure by Abdur Rahman, Qaiser Uz Zaman Khan, Muhammad Irshad Qureshi

“…Nonlinear response history analysis (NLRHA) procedure is one of the most precise and accurate numerical method to compute the seismic demands of high-rise structures but is complex, rigorous, and time-consuming and requires a lot of expertise for nonlinear modelling and results interpretation. …”
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Experimental and Numerical Study on the Permeation Grouting Diffusion Mechanism considering Filtration Effects by Guangxuan Zhu, Qingsong Zhang, Rentai Liu, Jiwen Bai, Wei Li, Xiao Feng

“…The comparative results showed that the proposed numerical method can match the laboratory tests well. Finally, the effects of the grout flow velocity and the water/cement ratio of the grout on the diffusion mechanism are also discussed.…”
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A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion by José Antonio López Ortí, Francisco José Marco Castillo, María José Martínez Usó

“…In addition, the perturbed problem must be solved using a numerical method and its efficiency depends on the selected coordinate system and the corresponding time. …”
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Numerical Analyses on Deformation and Failure Characteristics of Surrounding Rock of Gob-Side Entry Retention by Roof Cutting by Qunying Wu, Binhui Liu, Jun Yang, Yajun Wang, Kuikui Chen, Yu Cheng

“…Finally, by using this numerical method, the effects of roadway width, temporary support, and coal side support on the failure of the roof and the arc coal side are studied.…”
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A New Spectral Mittag-Leffler Weighted Method to Solve Variable Order Fractional Differential Equations by Abdulrazzaq T. Abed, Ekhlass S. Al-Rawi

“…Objective: In this paper, a numerical method is presented for solving VO-FDEs. The proposed method is based on Chelyshkov polynomials (CPs). …”
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Simulation Analysis of Air Flow and Turbulence Statistics in a Rib Grit Roughened Duct by I. I. Vogiatzis, A. C. Denizopoulou, G. K. Ntinas, V. P. Fragos

“…Furthermore, the applied numerical method is capable of capturing small-scale flow structures resulting from the direct solution of Navier-Stokes and continuity equations.…”
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Effect of Tooth Surface Friction on Bending Torsional Axial Pendular Coupling Nonlinear Amplitude Frequency Characteristic of Marine Herringbone Gear by Haoqin Zhang, Hao Dong, Libang Wang, Xiaolong Zhao

“…The Runge-Kutta numerical method is used to solve the differential equation. …”
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Stability Analysis of Irregular Cavities in Tunnel Using Geomagic-COMSOL Coupling Method by Shangqu Sun, Chengshuai Qin, Hongbo Wang, Liping Li, Yongliang Huang

“…We also developed the Geomagic-COMSOL coupling numerical method to conduct the stability analysis of irregular cavities. …”
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Numerical Simulation of Dynamic Response of Submerged Floating Tunnel under Regular Wave Conditions by Wenlong Luo, Bo Huang, Yao Tang, Hao Ding, Ke Li, Liang Cheng, Qingyang Ren

“…In this model, wave-induced hydrodynamic loads are estimated by the Morison equation for a moving object, and the simplified governing differential equation of the tunnel with mooring cables is solved using the fourth-order Runge–Kutta and Adams numerical method. The numerical results are successfully validated by direct comparison against published experimental data. …”
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Upper-Bound Finite Element Adaptive Analysis of Plane Strain Heading in Soil with a Soft Upper Layer and Hard Lower Layer by Jian Zhang, Li Ding, Yu Liang, Jingyao Zong, Zhenya Li

“…The results compare reasonably well with those in the literature and those from the numerical method.…”
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Trihybrid nanofluid flow through nozzle of a rocket engine: Numerical solution and irreversibility analysis by Basharat Ullah, Rabia Rehman, Hafiz Abdul Wahab, Umar Khan, Walid Emam

“…We solve the altered equations using a shooting technique and the reduced Kutta-4 (RK-4) numerical method. With a particular focus on the Nusselt number and entropy generation number, graphic representations highlight the important parameters affecting hydrothermal performance. …”
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Investigation on Reinforced Mechanism of Fiber Reinforced Asphalt Concrete Based on Micromechanical Modeling by Ying Gao, Qinglin Guo, Yanhua Guo, Pingchuan Wu, Wenqing Meng, Tongye Jia

“…However, internal interactions between fiber and other phases of asphalt concrete are unclear although experimental methods have been used to design the FRAC successfully. In this paper, numerical method was used to investigate the reinforced mechanism of FRAC from microperspective. 2D micromechanical model of FRAC was established based on Monte Carlo theory. …”
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Investigation into Shock Control and Drag Reduction Characteristics of Opposing Plasma Synthetic Jet in Mach 8 Flow by Xudong Zhang, Hao Dong, Xingyu Cao, Yan Zhou, Wei Xie, Wei Song, Yan Wang

“…Subsequently, the numerical method was verified in detail and the effects of different discharge energies and nozzle diameters on the drag reduction characteristics of the opposing PSJ were studied. …”
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Hopf Bifurcation Characteristics of Dual-Front Axle Self-Excited Shimmy System for Heavy Truck considering Dry Friction by Daogao Wei, Ke Xu, Yibin Jiang, Changhe Chen, Wenjing Zhao, Fugeng Zhou

“…The consistency of results of the qualitative and numerical methods shows that qualitative methods can predict the bifurcation characteristics of shimmy systems. …”
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Research on Spur Gear Profile Modification Based on Stiffness of the Elastohydrodynamic Lubrication Friction Pair by Xia Boqian, Zhang Yinghao, Zhang Zebin

“…Based on the EHL theory and by simplifying the EHL film into linearized spring and damping, a tribology-dynamics coupling model of line contact friction pair is established and the stiffness of tooth surface EHL friction pair is obtained by numerical method; the gear meshing stiffness and the meshing stiffness of gear EHL friction pair are calculated respectively using the definition of ISO gear meshing stiffness and the maximum modification amount is calculated based on two different gear meshing stiffness; through Creo, the meshing models of a standard gear pair, an ISO method modified gear pair and an EHL friction pair stiffness modified gear pair are established respectively. …”
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EVALUATION OF THE EFFICIENCY OF THE DEVICE FOR LIMITING TENSION OF THE WIRE IN A SHORT CIRCUIT by I. I. Sergey, E. G. Panamarenka, Ya. A. Potachits

“…The damper is installed between the portal and the insulator string and limits the transmission of undesirable forces on the portals in a short circuit. The numerical method of calculation of dynamics of flexible wires of switchgear and overhead lines in a short-circuit taking into account influence of a tension damper has been developed. …”
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