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Journal articles on the topic 'Explicit numerical simulation'

Author: Grafiati

Published: 7 December 2024

Last updated: 31 July 2025

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1

Bannikova, E. Yu, and A. T. Kotvytskiy. "Three Einstein rings: explicit solution and numerical simulation." Monthly Notices of the Royal Astronomical Society 445, no. 4 (2014): 4435–42. http://dx.doi.org/10.1093/mnras/stu2068.

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Oleksik, Valentin, Radu Breaz, Gabriel Racz, Paul Dan Brindasu, and Octavian Bologa. "Advanced Techniques used in Numerical Simulation for Deep-drawing Process." MATEC Web of Conferences 290 (2019): 03012. http://dx.doi.org/10.1051/matecconf/201929003012.

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The present paper analyse the main characteristics of the numerical simulation by finite element method of the deep-drawing processes. Also the authors’ highlights the mathematical apparatus and the calculus method used for numerical simulations of metal forming processes in many of the current simulation software. The authors present the capabilities of the inverse analysis, direct analysis, implicit analysis (for springback simulation) and the optimisation analysis applied to explicit formulations.

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Tutueva, Aleksandra, and Denis Butusov. "Stability Analysis and Optimization of Semi-Explicit Predictor–Corrector Methods." Mathematics 9, no. 19 (2021): 2463. http://dx.doi.org/10.3390/math9192463.

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The increasing complexity of advanced devices and systems increases the scale of mathematical models used in computer simulations. Multiparametric analysis and study on long-term time intervals of large-scale systems are computationally expensive. Therefore, efficient numerical methods are required to reduce time costs. Recently, semi-explicit and semi-implicit Adams–Bashforth–Moulton methods have been proposed, showing great computational efficiency in low-dimensional systems simulation. In this study, we examine the numerical stability of these methods by plotting stability regions. We expli

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Goel, M. D., KrishnaPrasad Kallada, and I. L. Muthreja. "Numerical Simulation of Bunker Buster Slab under Projectile Impact." Proceedings of the 12th Structural Engineering Convention, SEC 2022: Themes 1-2 1, no. 1 (2022): 1073–79. http://dx.doi.org/10.38208/acp.v1.623.

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In the present investigation, 3-D finite element modelling is carried out to predict the penetration depth and residual velocity of a projectile impacting a target. For the purpose of numerical simulation, target is a concrete slab of planar dimension 5 m × 4 m with an unconfined compressive strength of 50 MPa. This target is considered to be part of protective structure like bunker buster slab. The explicit algorithm of ABAQUS/Explicit® is employed in the simulation of projectile impact. The projectile is modelled as a rigid body and the concrete slab as a deformable body using Lagrangian for

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Chen, Lei. "Comparisons of Explicit and Implicit Finite Element Methods for Sheet Metal Forming." Advanced Materials Research 936 (June 2014): 1836–39. http://dx.doi.org/10.4028/www.scientific.net/amr.936.1836.

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Sheet metal forming is one of the most commonly practiced fabrication processes in industry. Numerical simulations of the complex parts are possible by finite element method in the past thirty years. The most important problem of the simulation is the reliability of the model. Static implicit method (SI) and dynamic explicit method (DE) were used to simulation sheet metal forming process. It was found that simulation speed in dynamic explicit software has large effect on the simulation results. The best simulation speed is 5~10 m/s. Compared with the simulation and experimental results of thic

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Moustapha, DJIBO, HAROUNA YAGI Rabiou, OUSMANE TOUDOU Issa, and SALEY Bisso. "RESOLUTION AND NUMERICAL SIMULATION OF A PREY-PREDATOR MODEL WITH INDIVIDUAL MIGRATION." Far East Journal of Dynamical Systems 38, no. 2 (2025): 199–216. https://doi.org/10.17654/0972111825009.

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This study concerns the numerical resolution and simulation of the Lotka-Volterra diffusive prey-predator model. This model is a system consisting of two semi-linear parabolic partial differential equations. After performing the numerical resolution using the explicit finite difference method, whose consistency and convergence are shown, we move onto the numerical simulations, which are done under MATLAB software. We started by doing several simulations in 3 dimension (3D) to see different cases. We complete the work with a 2D simulation to compare the non-diffusive case to the diffusive cases

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Phantu, Suganya, Yupaporn Areepong, and Saowanit Sukparungsee. "Double Moving Average Control Chart for Time Series Data with Poisson INARCH(1)." WSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS 21 (February 23, 2024): 694–707. http://dx.doi.org/10.37394/23207.2024.21.58.

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The objectives of this research are to find the explicit formulas of the average run length (ARL) of a double moving average (DMA) control chart for first-order integer-valued autoregressive conditional heteroscedasticity (INARCH1))) of Poisson count data. In addition, the numerical results obtained from the proposed explicit formulas are compared with those obtained from Monte Carlo simulations (MC) for the Poisson INARCH(1) counting process. An out-of-control ARL (ARL1) is the criteria for measuring the performance of control charts. The numerical results found that the values of both ARL0 a

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Okraschevski, M., N. Buerkle, R. Koch, and H. J. Bauer. "Smoothed particle hydrodynamics physically reconsidered: The relation to explicit large eddy simulation and the issue of particle duality." Physics of Fluids 34, no. 11 (2022): 115108. http://dx.doi.org/10.1063/5.0105104.

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In this work, we will identify a novel relation between Smoothed Particle Hydrodynamics (SPH) and explicit large eddy simulation using a coarse-graining method from non-equilibrium molecular dynamics. While the current literature points at the conclusion that characteristic SPH issues become restrictive for subsonic turbulent flows, we see the potential to mitigate these SPH issues by explicit subfilter stress modeling. We verify our theory by various simulations of homogeneous, isotropic turbulence at [Formula: see text] and compare the results to a direct numerical simulation [T. Dairay et a

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Humby, S. J., M. J. Biggs, and U. Tüzün. "Explicit numerical simulation of fluids in reconstructed porous media." Chemical Engineering Science 57, no. 11 (2002): 1955–68. http://dx.doi.org/10.1016/s0009-2509(02)00103-3.

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10

Liu, Heng, and Zhenpeng Liao. "An explicit method for numerical simulation of wave equations." Earthquake Engineering and Engineering Vibration 8, no. 1 (2009): 17–28. http://dx.doi.org/10.1007/s11803-009-8132-6.

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11

Hu, Kai. "Study on Collapse Numerical Simulation Method of Frame Structures Based on Explicit Dynamics." Advanced Materials Research 919-921 (April 2014): 226–38. http://dx.doi.org/10.4028/www.scientific.net/amr.919-921.226.

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According to the theory of collapse numerical simulation, the explicit finite element algorithm based on explicit dynamics was chose as the numerical calculation method. And combined with the plane RC frame collapse test and the example of ten layers frame structure, the wire frame model, integrated model and separate model were established and the alternate path method was adopted to study the simulate method of structural collapse. With the comparison of several aspects to the results, the rationality of the numerical simulation method and the applicability of the numerical models were verif

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Mamman, Ali Bulama, Haruna Usman Idriss, and Bashir Mai Umar. "Numerical Solution of linear Second Order Partial Differential Equation." International Journal of Research and Innovation in Applied Science X, no. IV (2025): 951–65. https://doi.org/10.51584/ijrias.2025.10040081.

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This study explores the analytical and numerical solutions of partial differential equations (PDEs), focusing on parabolic (heat). The first part presents their analytical solutions using initial and boundary conditions and delves into the finite difference method (FDM), discussing forward, backward, and central difference schemes. These methods are applied to numerically solve one- and two-dimensional heat. The Crank-Nicolson method, recognized for its unconditional stability, is employed to improve the accuracy of heat equation solutions, overcoming limitations of explicit and implicit schem

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ANDREUCCI, DANIELE, ANTONIO FASANO, MARIO PRIMICERIO, MAURIZIO PAOLINI, and CLAUDIO VERDI. "NUMERICAL SIMULATION OF POLYMER CRYSTALLIZATION." Mathematical Models and Methods in Applied Sciences 04, no. 01 (1994): 135–45. http://dx.doi.org/10.1142/s0218202594000091.

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We consider a mathematical model for solidification of semicrystalline polymers, describing the evolution of temperature, crystalline volume fraction, number and average size of crystals. In turn, the model couples a suitable kinetics of nonisothermal crystallization, taking into account both formation and growth of nuclei, with the thermal energy balance equation. We also present a model of secondary crystallization. The numerical approximation is performed by semiexplicit finite differences in time and finite elements in space. The fully discrete scheme amounts to solve, at any time step, a

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Chronopoulos, Anthony Theodore, and Gang Wang. "Traffic Flow Simulation through Parallel Processing." Transportation Research Record: Journal of the Transportation Research Board 1566, no. 1 (1996): 31–38. http://dx.doi.org/10.1177/0361198196156600104.

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Numerical methods for solving traffic flow continuum models have been studied and efficiently implemented in traffic simulation codes in the past. Explicit and implicit methods have been used in traffic simulation codes in the past. Implicit methods allow a much larger time step size than explicit methods to achieve the same accuracy. However, at each time step a nonlinear system must be solved. The Newton method, coupled with a linear iterative method (Orthomin), is used. The efficient implementation of explicit and implicit numerical methods for solving the high-order flow conservation traff

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Liu, Ming Qin, Yu Ling Liu, and Wen Li Wei. "Numerical Simulation of 2D Flow in a Curved Channel." Advanced Materials Research 374-377 (October 2011): 378–81. http://dx.doi.org/10.4028/www.scientific.net/amr.374-377.378.

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This paper is concerned with a new numerical method of two-dimensional flow. The governing system of differential equations is transformed into an equivalent system applied over a square-grid network in order to overcome the difficulties and inaccuracies associated with the determination of characteristics near the flow boundaries. The MacCormack two-step explicit scheme with second-order accuracy is used for the solution of the transformed system of equations. The present numerical model has been used to numerically compute flow in sharply curved channel.

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Hladka, Yuliia, Anastasiia Kinash, and Olena Kharkianen. "About simulation of one class of dynamic processes." Modeling and Information Systems in Economics, no. 101 (December 1, 2021): 32–42. https://doi.org/10.33111/mise.101.4.

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The aim of the work is to develop discrete mathematical algorithms for the convective diffusion equation with explicit organization of calculations. The presence of a convective term in the mathematical model creates additional mathematical difficulties in the construction and implementation of computational algorithms. The problem of mathematical modeling of non-stationary processes of convective diffusion and thermal conductivity is considered. An approach using the idea of splitting and realization of the obtained difference schemes with the help of explicit traveling wave schemes is propos

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Wang, Zhen Ye, Jiang Fei Li, Lian Yuan, et al. "Numerical Simulation of Transient Flow in Products Pipeline." Advanced Materials Research 732-733 (August 2013): 487–90. http://dx.doi.org/10.4028/www.scientific.net/amr.732-733.487.

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In this paper, explicit difference scheme, implicit difference scheme and characteristics method are separately used to simulate the transient flow in products pipeline. The simulation result can be used to prevent water hammer in the pipeline of unsteady situation and to improve the efficiency and safety in oil transmission systems. And then, the stability and accuracy of the three methods are compared by adopting different time steps. For explicit difference method, large fluctuation may occur in case of large time step. For implicit method, the result is weakly affected by time step, only i

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Umar, Saidu Bashir, Sule Bashir, and Gana Kachalla Ali Abba. "NUMERICAL SIMULATION OF PARTIAL DIFFERENTIAL EQUATIONS USING FINITE DIFFERENCE METHODS." International Journal of Mathematics And Computer Research 09, no. 07 (2021): 2339–43. https://doi.org/10.47191/ijmcr/v9i7.02.

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This paper explores the use of the software package, Matlab and Excel in the implementation of the finite difference method to solve partial differential equations (PDE’s.). It aimed to examine the strength of the forward explicit method and backward implicit method in solving PDE’s. A comparison was made between the forward explicit method and the backward implicit method for their stability. The FDM method was used to solve partial differential equations of heat. Numerical examples were also created and analysed to show the strengths of each method. The results shows that the for

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Zhang, Xiang Rong, Xu Dan, and Lin Zhou. "Numerical Simulation of Thermal Sensitivity for Explosives." Advanced Materials Research 734-737 (August 2013): 2116–19. http://dx.doi.org/10.4028/www.scientific.net/amr.734-737.2116.

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In order to compare the thermal sensitivity of several typical explosives, this article solved numerically one-dimensional transient heat conduction equation including thermal decomposition for explosives with finite difference method. The explicit difference equations under different boundary conditions were established, and the corresponding stability criterion was derived. The ignition times for typical explosives were calculated, which was used to evaluate thermal sensitivity of explosives.

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Abbassi, Adil, and Gawtum Namah. "Characterization of the speed of a two-phase interface in a porous medium." Mathematical Problems in Engineering 2005, no. 6 (2005): 641–61. http://dx.doi.org/10.1155/mpe.2005.641.

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A typical situation of oil reservoir simulation is considered in a porous medium where the resident oil is displaced by water injection. An explicit expression of the speed of the oil-water interface is given in a pseudo-2D case via the resolution of an auxiliary Riemann problem. The explicit 2D solution is then corroborated with numerical simulations by solving the transport equation with a generalized scheme of Harten type.

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21

CHO, HYUN-JIK, and JEONG-SEO KOO. "ORBITAL FORMING SIMULATION OF AUTOMOTIVE HUB BEARING USING THE EXPLICIT FINITE ELEMENT METHOD." International Journal of Modern Physics B 22, no. 09n11 (2008): 1626–33. http://dx.doi.org/10.1142/s0217979208047171.

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In this paper, the orbital forming simulation of an automotive hub bearing was studied to predict forming conditions and performances using the explicit finite element method. To set up an efficient solution technique for the orbital forming, axisymmetric finite element models and 3D solid element models were numerically solved and compared to each other. The time scaling and mass scaling techniques were introduced to reduce the excessive computational time caused by small element size in case of the explicit finite element method. It was found from the numerical results on the orbital forming

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22

Chetverushkin, B. N., and A. V. Gulin. "Explicit schemes and numerical simulation using ultrahigh-performance computer systems." Doklady Mathematics 86, no. 2 (2012): 681–83. http://dx.doi.org/10.1134/s1064562412050213.

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23

Hu, Yijing, Qiangqiang Shi, Valmor F. De Almeida, and Xiaolin Li. "Numerical simulation of phase transition problems with explicit interface tracking." Chemical Engineering Science 128 (May 2015): 92–108. http://dx.doi.org/10.1016/j.ces.2014.11.053.

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24

Chung, D., L. Chan, M. MacDonald, N. Hutchins, and A. Ooi. "A fast direct numerical simulation method for characterising hydraulic roughness." Journal of Fluid Mechanics 773 (May 26, 2015): 418–31. http://dx.doi.org/10.1017/jfm.2015.230.

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We describe a fast direct numerical simulation (DNS) method that promises to directly characterise the hydraulic roughness of any given rough surface, from the hydraulically smooth to the fully rough regime. The method circumvents the unfavourable computational cost associated with simulating high-Reynolds-number flows by employing minimal-span channels (Jiménez & Moin, J. Fluid Mech., vol. 225, 1991, pp. 213–240). Proof-of-concept simulations demonstrate that flows in minimal-span channels are sufficient for capturing the downward velocity shift, that is, the Hama roughness function, pred

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von Hoyningen-Huene, Martin, and Alexander R. Jung. "Comparison of Different Acceleration Techniques and Methods for Periodic Boundary Treatment in Unsteady Turbine Stage Flow Simulations." Journal of Turbomachinery 122, no. 2 (1999): 234–46. http://dx.doi.org/10.1115/1.555440.

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This paper studies different acceleration techniques for unsteady flow calculations. The results are compared with a nonaccelerated, fully explicit solution in terms of time-averaged pressure distributions, the unsteady pressure and entropy in the frequency domain, and the skin friction factor. The numerical method solves the unsteady three-dimensional Navier–Stokes equations via an explicit time-stepping procedure. The flow in the first stage of a modern industrial gas turbine is chosen as a test case. After a description of the numerical method used for the simulation, the test case is intro

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Cao, Weihao, Guangli Cheng, Bao Liu, and Yangfan Cai. "Research on the Time-Domain Explicit and Implicit Solution Methods of the Shallow Water Seismic Wavefield Equations." Applied Sciences 14, no. 4 (2024): 1598. http://dx.doi.org/10.3390/app14041598.

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The current time-domain solution methods for the wavefield equations of a single medium do not apply to the wavefield equations of shallow water seismic with a fluid–elastomer coupling. To solve this problem, based on the explicit central difference method and implicit Newmark method, the explicit–explicit method, implicit–implicit method, and explicit–implicit method time-domain expressions for the local solution are derived, and the time-domain expressions for the explicit and implicit methods in the global solution are derived.The stability and computational efficiency of different time-dom

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Mijajlovic, Miroslav, Dragan Milcic, and Miodrag Milcic. "Numerical simulation of friction stir welding." Thermal Science 18, no. 3 (2014): 967–78. http://dx.doi.org/10.2298/tsci1403967m.

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Friction stir welding is a solid-state welding technique that utilizes thermo-mechanical influence of the rotating welding tool on parent material resulting with monolith joint-weld. On the contact of welding tool and parent material, significant stirring and deformation of parent material appears, and during this process mechanical energy is partially transformed into heat. The paper describes the software for the numerical simulation of friction stir welding developed at Mechanical Engineering Faculty, University of Nis. Numerical solution for estimation of welding plates temperature is esti

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Fratini, Livan, Marion Merklein, Wolfgang Böhm, and Davide Campanella. "Modelling Aspects in Accumulative Roll Bonding Process by Explicit Finite Element Analysis." Key Engineering Materials 549 (April 2013): 452–59. http://dx.doi.org/10.4028/www.scientific.net/kem.549.452.

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Accumulative Roll-Bonding (ARB) process is a severe plastic deformation (SPD) process, capable of developing grains below 1 μm in diameter and improving mechanical properties of the material. In this study, the authors compared two different FE-codes with respect of its applicability for numerical analysis of the ARB process. Modelling this process was achieved using the explicit code for Abaqus/CAE both in 2D and 3D. The proposed model was used to assess the impact of ARB cycles on the final material properties. The numerical results in 2D and 3D were compared and contrasted. The research wor

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Lee, Chaeyoung, Sungha Yoon, Jintae Park, and Junseok Kim. "An Explicit Hybrid Method for the Nonlocal Allen–Cahn Equation." Symmetry 12, no. 8 (2020): 1218. http://dx.doi.org/10.3390/sym12081218.

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We extend the explicit hybrid numerical method for solving the Allen–Cahn (AC) equation to the scheme for the nonlocal AC equation with isotropically symmetric interfacial energy. The proposed method combines the previous explicit hybrid method with a space-time dependent Lagrange multiplier which enforces conservation of mass. We perform numerical tests for the area-preserving mean curvature flow, which is the basic property of the nonlocal AC equation. The numerical results show good agreement with the theoretical solutions. Furthermore, to demonstrate the usefulness of the proposed method,

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Kim, Yongho, Gilnam Ryu, and Yongho Choi. "Fast and Accurate Numerical Solution of Allen–Cahn Equation." Mathematical Problems in Engineering 2021 (December 6, 2021): 1–12. http://dx.doi.org/10.1155/2021/5263989.

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Simulation speed depends on code structures. Hence, it is crucial how to build a fast algorithm. We solve the Allen–Cahn equation by an explicit finite difference method, so it requires grid calculations implemented by many for-loops in the simulation code. In terms of programming, many for-loops make the simulation speed slow. We propose a model architecture containing a pad and a convolution operation on the Allen–Cahn equation for fast computation while maintaining accuracy. Also, the GPU operation is used to boost up the speed more. In this way, the simulation of other differential equatio

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Wang, Di, Fangping Ma, and Hao Chen. "Numerical Simulation for Hydrogen-Assisted Cracking: An Explicit Phase-Field Formulation." Materials 16, no. 4 (2023): 1708. http://dx.doi.org/10.3390/ma16041708.

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Hydrogen-assisted cracking is one of the most dominant failure modes in metal hydrogen-facing materials. Therefore, the hydrogen-assisted cracking mechanism has been a hot topic for a long time. To date, there is very little published research on numerical methods to describe hydrogen-assisted cracking. This paper presents a new method for the description of hydrogen embrittlement crack growth: an explicit phase-field formulation, which is based on the phase-field description of cracks, Fick’s mass diffusion law, and the relationship between hydrogen content and fracture surface energy. A nove

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Anggono, Agus Dwi, Tri Widodo Besar Riyadi, and Waluyo Adi Siswanto. "Dynamic Explicit Finite Element Code for U-Bending Simulation and Springback Prediction." Applied Mechanics and Materials 660 (October 2014): 337–41. http://dx.doi.org/10.4028/www.scientific.net/amm.660.337.

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In this paper, a dynamic explicit method was used to simulate U-bending processes of aluminium and its springback. The simulation was carried out using a free software of finite element analysis code namely Impact. The model was taken from a benchmark model in Numisheet'93. The numerical results of the dynamic explicit code were compared with the results of the experimental works. After the optimization was done using the simulation process, it was found that the springback results showed a good agreement with that done by the experimental results. The software Impact was capable of simulating

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Catureba, Rafaela Pedroso, Aldelio Bueno Caldeira, and Rodrigo Otávio de Castro Guedes. "Numerical Simulation of the TNT Solidification Process." Defence Science Journal 69, no. 4 (2019): 336–41. http://dx.doi.org/10.14429/dsj.69.13536.

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The solidification phenomenon is present in the casting process of energetic materials. In defence industry, trinitrotoluene (TNT) is used as main charge for high explosive ammunitions. The present study tackles the numerical simulation of the solidification process of TNT by means of a two-dimensional transient model in cylindrical coordinates. The heat conduction problem is solved by using the enthalpy method that rewrites the governing equation in terms of this variable. The transient diffusive equation is then numerically solved by applying finite volumes in an explicit scheme. The analysi

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Zhang, Hong Wei, Yi Du Zhang, and Qiong Wu. "Three-Dimensional Numerical Simulation of Residual Stresses by Shot-Peening." Advanced Materials Research 79-82 (August 2009): 1189–92. http://dx.doi.org/10.4028/www.scientific.net/amr.79-82.1189.

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Shot peening is a complex cold working process used to improve the fatigue life of metallic parts. This investigation is devoted to the modeling and simulation of the residual stress field resulting from the shot peening process, in which the finite element method was employed using a rate sensitive material. The history of energies during explicit dynamic analysis was discussed and the solution time for explicit analysis was analyzed. For the single shot impact model, the effect of shot velocity, shot size, incident angle was studied. In addition, the effect of repeated impacts on the residua

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Li, Biao, Ya Zhi Li, Xi Li, and Zhen Hua Yao. "Numerical Simulation of Compression-After-Impact Process of Composite Laminates." Key Engineering Materials 525-526 (November 2012): 265–68. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.265.

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The residual compressive strength of composite laminates subjected to low-velocity impact (CAI) was analyzed using the ABAQUS/Explicit package through a two-step calculation. The finite element model was composed of solid elements and interfacial cohesive elements. The out of plane low-velocity impact process was simulated in the first step and the results of which were taken as the input for the second step of the in-plane compression, until the collapse of the laminate. The usefulness of the explicit solution algorithm in dealing with the quasi-static procedure of the in-plane compression wa

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Li, De Bo, Qi Sheng Xu, Yue Liang Shen, Zhi Yong Wen, and Ya Ming Liu. "Parallel Algorithms for Compressible Turbulent Flow Simulation Using Direct Numerical Method." Advanced Materials Research 516-517 (May 2012): 980–91. http://dx.doi.org/10.4028/www.scientific.net/amr.516-517.980.

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In this study, SPMD parallel computation of compressible turbulent jet flow with an explicit finite difference method by direct numerical method is performed on the IBM Linux Cluster. The conservation equations, boundary conditions including NSCBC (charactering boundary conditions), grid generation method, and the solving processing are carefully presented in order to give other researchers a clear understanding of the large scale parallel computing of compressible turbulent flows using explicit finite difference method, which is scarce in the literatures. The speedup factor and parallel compu

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YAMADA, Yoshinori, Mikio SAKAI, Shin MIZUTANI, Seiichi KOSHIZUKA, Masatoshi OOCHI, and Koji MUROZONO. "Numerical Simulation of Three-Dimensional Free-Surface Flows with Explicit Moving Particle Simulation Method." Transactions of the Atomic Energy Society of Japan 10, no. 3 (2011): 185–93. http://dx.doi.org/10.3327/taesj.j10.033.

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Azadani, L. N., and A. E. Staples. "Large-Eddy Simulation of Turbulent Barotropic Flows in Spectral Space on a Sphere." Journal of the Atmospheric Sciences 72, no. 5 (2015): 1727–42. http://dx.doi.org/10.1175/jas-d-14-0183.1.

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Abstract Numerical simulations of atmospheric circulation models are limited by their finite spatial resolution, so large-eddy simulation (LES) is a preferred approach to study these models. In LES, a low-pass filter is applied to the flow field to separate the large- and small-scale motions. In implicitly filtered LES, the computational mesh and discretization schemes are considered to be the low-pass filter, while in the explicitly filtered LES approach, the filtering procedure is separated from the grid and discretization operators and allows for better control of the numerical errors. The

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Handlovičová, A., and Z. Krivá. "PERONA-MALIK EQUATION - ERROR ESTIMATES FOR EXPLICIT FINITE VOLUME SCHEME." Mathematical Modelling and Analysis 10, no. 4 (2005): 353–66. http://dx.doi.org/10.3846/13926292.2005.9637293.

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Dariusz Jakubek. "Numerical Simulation of Temperature Distribution in the Gas Turbine Blade." Communications - Scientific letters of the University of Zilina 23, no. 3 (2021): B227—B236. http://dx.doi.org/10.26552/com.c.2021.3.b227-b236.

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This paper concentrates on temperature distribution in the gas turbine blade equipped by the cooling holes system on transient heat transfer. The present study requires the specification of internal and external boundary conditions. The calculations had been done using both Crank-Nicolson algorithm, explicit and implicit methods, in which different heat transfer coefficients on internal cooling surfaces of the holes were applied. The value of coefficients has a direct and crucial impact on the final result. The heat transfer coefficient of cooling the working surface of the of heat pipes was 1

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Liu, Ze Min, Zheng Hua Guo, Gang Yao Zhao, Shu Zhang, and Ji Luan Pan. "3D Numerical Simulation of Linear Friction Welding of 45# Carbon Steel." Advanced Materials Research 476-478 (February 2012): 701–4. http://dx.doi.org/10.4028/www.scientific.net/amr.476-478.701.

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A 3D finite-elements model of 45# carbon steel of linear friction welding is built with the dynamic explicit code ABAQUS/explicit based on the solution of several key techniques, such as contact boundary condition treating, material properties definition, meshing technology, etc. Then the reliability of the model is validated by comparison with experiments in the literature. Furthermore, numerical simulation and analysis of the linear friction welding process of 45# steel have been carried out by using the model. The temperature field of workpiece, the temperature change of center point of wel

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Hasanah, U., and S. R. Pudjaprasetya. "Numerical simulation of wave phenomena using FreeFEM." Journal of Physics: Conference Series 2072, no. 1 (2021): 012003. http://dx.doi.org/10.1088/1742-6596/2072/1/012003.

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Abstract In this research free surface motion governed by the shallow water equations is considered. A numerical scheme based on the finite element method, which is incorporated in the open source FreeFEM, was used to simulate several wave phenomena. By carefully setting the corresponding initial condition as well as boundary conditions, several numerical computations were conducted. Numerical simulations presented here are standing wave in a closed basin, progressive wave over a flat bottom, as well as wave shoaling over a decreasing depth and wave refraction. In all cases above, the existing

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Droux, Jean-Jacques. "Three-dimensional numerical simulation of solidification by an improved explicit scheme." Computer Methods in Applied Mechanics and Engineering 85, no. 1 (1991): 57–74. http://dx.doi.org/10.1016/0045-7825(91)90122-m.

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Tripoli, G. J. "An explicit three-dimensional nonhydrostatic numerical simulation of a tropical cyclone." Meteorology and Atmospheric Physics 49, no. 1-4 (1992): 229–54. http://dx.doi.org/10.1007/bf01025409.

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Yoon, Sungha, Jintae Park, Jian Wang, Chaeyoung Lee, and Junseok Kim. "Numerical Simulation of Dendritic Pattern Formation in an Isotropic Crystal Growth Model on Curved Surfaces." Symmetry 12, no. 7 (2020): 1155. http://dx.doi.org/10.3390/sym12071155.

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In this paper, we present several numerical simulation results of dendritic pattern formation using an isotropic crystal growth model, which is based on phase-field modeling, on curved surfaces. An explicit time-stepping method is used and the direct computing method to the Laplace–Beltrami operator, which employs the point centered triangulation approximating Laplacian over the discretized surface with a triangular mesh, is adopted. Numerical simulations are performed not only on simple but also on complex surfaces with various curvatures, and the proposed method can simulate dendritic growth

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Guo, Xin, Li Hua Zhu, and Tian Li Wang. "Research on Numerical Integration Algorithm for MDOF Pseudo-Dynamic Test." Applied Mechanics and Materials 204-208 (October 2012): 4820–26. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4820.

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This paper focuses on two integration algorithms used for pseudo-dynamic test, explicit Newmark algorithm and implicit alpha-C algorithm. The comparison study between the test and simulation results shows that: the non-uniform distribution of mass, restoring force characteristics and higher frequency vibration modality are simulated more accurately using the alpha-C algorithm than using explicit Newmark algorithm. The alpha-C algorithm also leads to high iterative accuracy and unconditional stability. Replacing the explicit Newmark algorithm in original experimental system by implicit alpha-C

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Kaselouris, Evaggelos, Theodoros Papadoulis, Elenh Variantza, Andreas Baroutsos, and Vasilios Dimitriou. "A Study of Explicit Numerical Simulations in Orthogonal Metal Cutting." Solid State Phenomena 261 (August 2017): 339–46. http://dx.doi.org/10.4028/www.scientific.net/ssp.261.339.

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The capability of the explicit numerical methods to simulate accurately the real cutting process is investigated in this research work. Smoothed particle hydrodynamics - SPH, classical Lagrangian finite element method - FEM and Multi-Material Arbitrary Lagrangian Eulerian - ALE methods are chosen for the modeling and simulation of the orthogonal metal cutting process of AISI H13 in LS-DYNA. The cutting tool is modeled as a rigid FEM body that incrementally penetrates into the flexible deformable workpiece. At each numerical model, the dynamic elastoplastic behavior of the workpiece material is

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Čiegis, Raimondas. "NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION." Mathematical Modelling and Analysis 14, no. 1 (2009): 11–24. http://dx.doi.org/10.3846/1392-6292.2009.14.11-24.

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Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes are constructed and investigated. It is shown that the implicit Euler scheme can be used to solve efficiently parabolic and hyperbolic heat conduction problems. This scheme is unconditionally stable for both problems. For many integration methods strong numerical oscillations are present, when the initial and boundary conditions are discontinuous for the hyperbolic problem. In order to regularize the implicit Euler scheme, a simple linear relation between time and space steps is proposed, which au

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Park, Shi Dong, and Maeng Hyo Cho. "Explicit Time Integration Algorithm for Fully Flexible Cell Molecular Dynamics." Key Engineering Materials 326-328 (December 2006): 337–40. http://dx.doi.org/10.4028/www.scientific.net/kem.326-328.337.

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Fully flexible cell with Nose-Poincare method preserves Hamiltonian in structure, so the extended Hamiltonian is preserved in the real time domain. In the previous development of Nose- Poincare method for NVT, NPT, and NT ensemble unit cell simulations, implicit algorithm such as generalized leapfrog integration scheme was used. The formulation and numerical implementatio n of the implicit formula is much more complicated because it includes nonlinear iteration procedur e. Furthermore, it is not easy to show time reversibility in implicit formula. Thus for these reasons, it is necessary to dev

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Li, Yong Suo, Ke Neng Zhang, Xian Yang, and Chang Bo Huang. "Numerical Simulation for the Excavation in Tunnel Construction." Applied Mechanics and Materials 90-93 (September 2011): 90–93. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.90.

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Tunnel excavation is often done in underground engineering such as civil tunnel construction and mine excavation. The numerical simulation can output colorful results to interpret the tunnel excavation effect more easier. Among all the numerical simulation methods, fast lagrangian explicit finite difference code of continua (FLAC3D) is widely used to solve practical problems, especially in field of elasto-plastic characteristic and construction procedure. So in the present paper, 3 steps of excavations in a tunnel is modeled by FLAC3D to present the stress and displacement distribution, and gi

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