NUMERICAL MODELING OF HYDRODYNAMIC PROCESSES IN AQUIFERS by Maxim Alexandrovich Sixtus

“…The mathematical model of the object is represented as a system of differential equations in partial derivatives that can be solved by the explicit scheme of finite difference method. Geometric parameters of the object are described by functions of two variables, it is a distinctive feature ofproposed method of mathematical modeling. …”
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A numerical investigation of non-rotational, rigid spherical particle sedimentation problem in viscous fluid by Nguyen Hong Phan, Nguyen Van Diep

“…Here a numerical solution of non-stationary sedimentation process is obtained by using the explicit finite difference method. The obtained results show that this model can be used for qualitative study of physical phenomenon of sedimentation problem. …”
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Damage Simulation Study of Composite-to-Metal Interference-Fit with Multiple Structural Parameters by Shan Jiang, Xiao Guo, Rui Zhao, Dongxu Zhang, Min Wan

“…A numerical study was conducted on the damage and failure of carbon fiber composite sleeves with multiple structural parameters during interference-fit assembly. ABAQUS/Explicit simulation of interference-fit was performed with the three-dimensional finite element method, and the VUMAT subroutine with three-dimensional Hashin damage was utilized to investigate the initiation and evolution of composite component damage. …”
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Unified Description of the Mechanical Properties of Typical Marine Soil and Its Application by Yongqiang Li, Gang Wang, Liping Jing, Lei Zhang, Xinjun Cheng

“…This model can describe the unified behaviour of unsaturated soil and saturated soil using independent state variables and can uniquely describe the multiple mechanical properties of soils under general stress states, without changing the parameter values using the transform stress method. An effective stress-based, fully coupled, explicit finite element–finite difference method was established based on this model and three-phase field theory. …”
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Study on Impact Excitation and System Dynamic Characteristics of Shield Machine Planetary Gear Train by Zeyin HE, Hongjian WU, Zhen YANG, Feng YI, ShiFeng PEI

“…In addition, this study uses DAMPING_GLOBAL to set different dampers and discusses the effects of damping on explicit dynamic simulation results. …”
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Implicit analysis of the transient water flow with dissolved air by J. Twyman

“…The implicit finite-difference method (IFDM) for solving a system that transports water with dissolved air using a fixed (or variable) rectangular space-time mesh defined by the specified time step method is applied. …”
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Stable Numerical Solutions Preserving Qualitative Properties of Nonlocal Biological Dynamic Problems by M.-A. Piqueras, R. Company, L. Jódar

“…This paper deals with solving numerically partial integrodifferential equations appearing in biological dynamics models when nonlocal interaction phenomenon is considered. An explicit finite difference scheme is proposed to get a numerical solution preserving qualitative properties of the solution. …”
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Morphology and Effect of Load on Bridge Piers Impacted by Continuous Sea Ice by Li Gong, Yue Cui, Yunfei Du, Long Qin, Xinyuan Zhao

“…In order to study the collision of sea ice on bridge piers of a sea-crossing bridge, this study establishes a finite element model of the impact of sea ice on bridge piers in aqueous media based on explicit dynamics analysis software and programming software using the arbitrary Lagrangian Eulerian (ALE) method. …”
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Analysis of Magnetohydrodynamics Flow of Incompressible Fluids over Oscillating Bottom Surface with Heat and Mass Transfer by Vincent M. Bulinda, Giterere P. Kang’ethe, Phineas R. Kiogora

“…The unsteady flow two-dimensional governing equations are solved numerically by the explicit finite difference method of the Forward Time Backward Space scheme. …”
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斜齿轮动力接触分析及动态特性优化 by 杨钢

“…Taking a helical gear pair as an example,the parametric three-dimensional geometric model and dynamic contact finite element analysis model of the helical gear pair are established.Based on the explicit dynamic calculation method,some dynamic characteristic are got by the numerical simulations,such as the tooth dynamic equivalent stress,tooth root bending stress,relative speed and impact force.The results show that it has a greater meshing impact during the meshing process,and obvious speed difference between driving wheel and driven wheel,the greater load torque of driven wheel,the greater the impact force becomes.At the same time,the relationships between modification of the tooth profile and the dynamic characteristics of gear pair is also studied in detail,and based on the numerical simulation data,the best parameters which could improve impact and tooth bending stress of gear pair are proposed in order to optimize the dynamic characteristics.…”
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Study on influence of dense medium on impact pressure of detonation waves subjected to contact blasts by MENG Yuanpei, MA Yue, HE Yuan, GUO Lei, LING Qi, ZHOU Jie, WANG Chuanting, HE Yong

“…In order to investigate the buffering effect of the different dense medium on the shock waves in the contact blasts, a dimensional analysis method by using the zero-pressure sound speed of dense medium was proposed. …”
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Dynamic Heat Transfer Modelling and Thermal Performance Evaluation for Cadmium Telluride-Based Vacuum Photovoltaic Glazing by Changyu Qiu, Hongxing Yang, Kaijun Dong

“…Based on the numerical solutions using the explicit finite difference method (FDM), the temperature profile of the vacuum PV glazing can be obtained dynamically. …”
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A novel computational approach for electro-osmosis flow: A compact scheme perspective by Muhammad Shoaib Arif, Ateeq Ur Rehman, Yasir Nawaz

“…Using a compact finite difference approach, spatial discretization can be accomplished with minimal grid points while achieving excellent accuracy. …”
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A Two-Dimensional Cell Model of Phases Transport in a Fluidized Bed Column: Development and Validation by Andrey Mitrofanov

“…The phase migrations of the fluidized bed along the height of the column are described on the basis of the mathematical apparatus of the theory of Markov chains, and an explicit difference scheme is used for the mathematical model of particle transfer in the radial direction. …”
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Numerical Simulation Analysis of Combined Seismic Response for Rock-Lining-Water in Hydraulic Tunnel by Guoqing Liu, Yanhong Zhang, Ming Xiao

“…In order to explore the influence of internal water on the seismic response of hydraulic tunnel, the combined mechanical analysis models of multimaterial including surrounding rock, lining structure, and internal water are built. Based on the explicit central difference method, the dynamic finite element analysis methods for rock, lining, and water are discussed, respectively. …”
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On the Solutions of Linear Systems over Additively Idempotent Semirings by Álvaro Otero Sánchez, Daniel Camazón Portela, Juan Antonio López-Ramos

“…Finally, we show how to apply this method to cryptanalyze two different key exchange protocols defined for a finite case and the tropical semiring, respectively.…”
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Investigation of Frequency Split Phenomenon of Rolling Tire Vibration Property Using a New Naming Convention by Xudong Yu, Chendi Zhu, Yan Zeng, Haibo Huang

“…The effects of the vertical load and rolling speed are incorporated in the analysis through an explicit dynamic simulation to determine the stress state throughout the tire at instants when the modal characteristics are desired. …”
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Numerical exploration of Hall and Dufour effects on rotating MHD natural convection near an infinite vertical plate with ramped boundary conditions using FDM and RSM using combined... by Obulesu Mopuri, Charankumar Ganteda, Rudraravi Kumar Palegari, G. Jaya Lalitha, P. Harikrishna, K. Rajyalakshmi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…The governing equations are transformed into dimensionless form and solved using an explicit finite difference method (FDM), with numerical results for velocity, temperature, concentration, viscous drag, heat, and mass transfer rates analyzed using MATLAB. …”
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A Coupled 1D-2D Hydrodynamic Model for Urban Flood Inundation by Yuyan Fan, Tianqi Ao, Haijun Yu, Guoru Huang, Xiaodong Li

“…For the 1D model, the finite difference method is used to discretize the Saint-Venant equations. …”
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Magnetohydrodynamics Free Convection Flow of Incompressible Fluids over Corrugated Vibrating Bottom Surface with Hall Currents and Heat and Mass Transfers by Vincent M. Bulinda, Giterere P. Kang’ethe, Phineas R. Kiogora

“…The governing equations are solved by the explicit finite difference numerical method of the forward-time backward-space scheme to obtain the analytical results for velocity, concentration, and temperature profiles. …”
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