Topic
Finite difference method
About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
Papers published on a yearly basis
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Papers
TL;DR: In this paper, the authors used the convolutional perfectly matched layer (CPML) for truncating the open boundaries of cylindrical waveguides used in the simulation of high-power microwave (HPM) sources.
Abstract: In order to solve the problem of truncating the open boundaries of cylindrical waveguides used in the simulation of high-power microwave (HPM) sources, this paper studies the convolutional perfectly matched layer (CPML) in the cylindrical coordinate system. The electromagnetic field's finite-difference time-domain (FDTD) equations and the expressions of axis boundary conditions are presented. Numerical experiments are conducted to validate the equations and axis boundary conditions. The performance of CPML is simulated when it is used to truncate the cylindrical waveguide excited by the sources with different frequencies and modes in the two-and-a-half-dimensional (2.5-D) problems. Numerical results show that the maximum relative error is less than -95 dB, and demonstrate that the property of CPML is much better than that of the Mur-type absorbing boundary condition when they are used to truncate the open boundaries of waveguides. The CPML is especially suitable for truncating the open boundaries of the dispersive waveguide devices in the simulation of HPM sources
87 citations
TL;DR: In this article, the authors considered an initially stressed viscoelastic string subjected to steady state and harmonic variation of axial motion and derived a partial differential-integral equation of motion.
86 citations
TL;DR: In this article, the impregnation stage of the Resin Transfer Moulding process can be simulated by solving the Darcy equations on a mould model, with a macro-scale finite element method.
Abstract: The impregnation stage of the Resin Transfer Moulding process can be simulated by solving the Darcy equations on a mould model, with a ‘macro-scale’ finite element method. For every element, a local ‘meso-scale’ permeability must be determined, taking into account the local deformation of the textile reinforcement. This paper demonstrates that the meso-scale permeability can be computed efficiently and accurately by using meso-scale simulation tools. We discuss the speed and accuracy requirements dictated by the macro-scale simulations. We show that these requirements can be achieved for two meso-scale simulators, coupled with a geometrical textile reinforcement modeller. The first solver is based on a finite difference discretisation of the Stokes equations, the second uses an approximate model, based on a 2D simulation of the flow.
86 citations
TL;DR: In this article, a numerical study is performed on double diffusive natural convection fluid flow in a vertical rectangular cavity of aspect ratio 4 when the temperature and concentration gradients are imposed in the horizontal direction.
86 citations
TL;DR: In this article, a three-dimensional numerical analysis was carried out on incompressible fluid flows in a butterfly valve by using FLUENT, which solves difference equations, and the results of the analysis may be useful in the valve design.
Abstract: A numerical simulation of butterfly valve flows is a useful technique to investigate the physical phenomena of the flow field. A three-dimensional numerical analysis was carried out on incompressible fluid flows in a butterfly valve by using FLUENT, which solves difference equations. Characteristics of the butterfly valve flows at different valve disk angles with a uniform incoming velocity were investigated. Comparisons of FLUENT results with other results, i.e., experimental results, were made to determine the accuracy of the employed method. Results of the three-dimensional analysis may be useful in the valve design.
86 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |