Hydraulic Simulation of Rainfall-Runoff Process in Kamanaj Watershed Using Diffusive Model by Sabereh Darbandi

“…SV equations were solved using explicit method of finite difference numerical technique as the initial and boundary conditions were defined. …”
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Modeling Asymmetric Shift in the Threshold Voltage of MOS Structures under Thermal Field Treatment by O. V. Aleksandrov, N. N. Morozov

“…Following the analysis of physical processes, a system of differential equations is compiled and solved by the finite difference method using explicit and implicit difference schemes.Results. …”
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Experimental Study and FEM Analysis on the Strengthening of Masonry Brick Walls Using Expanded Steel Plates and Shotcrete with and Without Glass Fiber Reinforcement by Zeynep Yaman, Alper Cumhur, Elif Ağcakoca, Muhammet Zeki Özyurt, Muhammed Maraşlı, Mohammad Saber Sadid, Abdulsalam Akrami, Azizullah Rasuly

“…In addition, numerical simulations were conducted using three-dimensional finite element models in Abaqus Explicit software to validate the experimental results. …”
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Influence of material orientation, loading angle, and single-shot repetition of laser shock peening on surface roughness properties by Lebogang Lebea, Lebogang Lebea, Dawood Desai, Harry Ngwangwa, Fulufhelo Nemavhola

“…A numerical model is developed using the commercial finite elements software in ABAQUS/Explicit for simulating dynamic conditions. …”
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Artificial dissipation model applied to Euler equations for analysis of supersonic flow around a geometric configurations ramp and diffusor type by Jussiê Soares da Rocha, Edisson Sávio de Góes Maciel, Carlos Brayner de Oliveira Lira, Pedro Augusto Silva de Sousa, Raimundo Nonato Correia Neto

“…The present work consists in using the DISSIPA2D_EULER code, to solve the Euler equations in a conservative form, in two-dimensional space employing a finite difference formulation for spatial discretization using the Euler method for explicit marching in time. …”
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Bio-activation and mathematical modeling of ZIF-L encapsulated with laccase for enhanced ibuprofen removal from wastewater by Ayat Hassan, Shadi W. Hasan, Bart Van der Bruggen, Sulaiman Al-Zuhair

“…The effect of laccase encapsulation inside the ZIF-L crystals was thoroughly investigated using a diffusion-reaction model, which was solved numerically using a finite difference explicit scheme. The results showed deep ibuprofen penetration within the ZIF-L crystal containing encapsulated laccase. …”
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Pengembangan Metode Interpolasi Splin Kubik Terapit dan Aplikasinya pada Masalah Pelacakan Trajektori Objek by Elvathna Syafwan, Mahdhivan Syafwan, Shandy Tresnawati

“…This article discusses the development of the cubic spline interpolation method for a clamped boundary condition taken from finite-difference explicit formulas with higher-order accuracy. …”
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Continuous [C] content prediction model in molten steel of the all-scrap electric arc furnace by Yan Wang, Jing Li, Shen-yang Song, Bo Cui, Shen Liu

“…The continuous [C] content prediction model in molten steel of the all-scrap electric arc furnace was established through the explicit finite difference method combined with numerical simulation based on the thermodynamics and kinetics of the decarburization reaction. …”
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Destress Blasting of Rock Mass: Multiscale Modelling and Simulation by Paweł Baranowski, Krzysztof Damaziak, Łukasz Mazurkiewicz, Piotr Mertuszka, Witold Pytel, Jerzy Małachowski, Bogumiła Pałac-Walko, Tristan Jones

“…Both the approaches were based on explicit dynamic modelling methodology using the central difference method. …”
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InvSim algorithm for pre-computing airplane flight controls in limited-range autonomous missions, and demonstration via double-roll maneuver of Mirage III fighters by Osama A. Marzouk

“…We then present a numerical procedure for integrating the developed inverse simulation (InvSim) system in time; utilizing (1) symbolic mathematics, (2) explicit fourth-order Runge–Kutta (RK4) numerical integration technique, and (3) expressions based on the finite difference method (FDM); such that the four necessary control variables (engine thrust force, ailerons’ deflection angle, elevators’ deflection angle, and rudder’s deflection angle) are computed as discrete values over the entire maneuver time, and these calculated control values enable the airplane to achieve the desired flight trajectory, which is specified by three inertial Cartesian coordinates of the airplane, in addition to the Euler’s roll angle. …”
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Modal Analysis of Beam Structures with Random Field Models at Multiple Scales by Dan Feng

“…In this framework, the random field theory is adopted to model heterogeneous material properties, and the cross-correlations between material properties are explicitly considered. The modal parameters of a structure are then evaluated using the finite element (FE) method with the simulated heterogeneous material properties taken as input. …”
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Design and Construction of an Instrumentation System to Capture the Response of Advanced Materials Impacted by Intense Proton Pulses by F. Carra, C. Charrondiere, M. Guinchard, O. Sacristan de Frutos

“…Shockwave measurements and intense proton pulse effects on the instrumentation are described, and a brief overlook of the comparison of the results of the acquisition devices with simulations, performed with the finite element tool Autodyn, is given. Generally, the main goal of such experiments is to benchmark and improve material models adopted on the tested materials in explicit simulations of particle beam impact, a design scenario in particle accelerators, performed by means of Autodyn. …”
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Electrohydrodynamic Flow and Particle Behavior in Electrostatic Precipitators with Two Shaped Collecting Plates by Heng Shen, Wanxuan Yu, Weihao Wang, Yonghao Zheng, Yanming Kang

“…Abstract Objective This study employs numerical simulations to investigate how the structural configurations of collecting plates (flat vs. corrugated plates) affect the efficiency of wire-plate electrostatic precipitators (ESPs). Methods A coupled model was developed, integrating fluid dynamics, electric fields, and particle motion, with User-Defined Functions explicitly programmed to establish strong connections between these physical fields. …”
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Design and Prototype Verification of a 3-meter Aperture Wrap-rib Reflector by ZHANG Han, YAN Zhongxi, XIANG Ping, WU Minger

“…A finite element model was established based on the material parameters obtained from the tensile test, and the stress during the wrapping process of a single CFRP lenticular tube with a wrapping guide was analyzed using the explicit dynamic method. …”
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Numerical Performance Evaluation of Aqueous LiCl and CaCl₂ Solutions as Liquid Desiccants in Dehumidification Systems by Nico Ndaru Pratama, Hifni Mukhtar Ariyadi, Joko Waluyo, Wahyu Hayatullah

“…This research was conducted numerically by simultaneously solving heat and mass transfer equations explicitly using the finite difference method, with the changes in property values of the liquid desiccant in each control volume. …”
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About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation by I. N. Meleshko, P. G. Lasy

“…An approximate solution of this problem is sometimes foundusing difference schemes. To do this, a grid with cells of small diameter is thrown onto the circle, and at each grid node all partial derivatives of the problem are replaced by their finite-difference relations.  …”
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PIC2O-Sim: A physics-inspired causality-aware dynamic convolutional neural operator for ultra-fast photonic device time-domain simulation by Pingchuan Ma, Haoyu Yang, Zhengqi Gao, Duane S. Boning, Jiaqi Gu

“…Optical simulation plays an important role in photonic hardware design flow. The finite-difference time-domain (FDTD) method is widely adopted to solve time-domain Maxwell equations. …”
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