Results 11 to 20 of about 60,674 (269)
3‐D low numerical dispersion WLP‐FDTD method with artificial anisotropy parameters
Electronics Letters, 2022 Based on the weighted Laguerre polynomials (WLPs) and artificial anisotropic (AA) parameters, a 3‐D unconditionally stable finite‐difference time‐domain (FDTD) electromagnetic simulation approach is proposed.
Gui‐Ying Liu +4 more
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A systematic approach to numerical dispersion in Maxwell solvers [PDF]
Computer Physics Communications, 2018 The finite-difference time-domain (FDTD) method is a well established method for solving the time evolution of Maxwell's equations. Unfortunately the scheme introduces numerical dispersion and therefore phase and group velocities which deviate from the correct values.
Alexander Blinne +5 more
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An Artificial Anisotropy Four-Step HIE-FDTD Method With Lower Numerical Dispersion Error
IEEE Access, 2020 In this article, by introducing artificial anisotropic (AA) parameters in the four-step hybrid implicit-explicit finite-difference time domain (HIE-FDTD) method, an AA four-step HIE-FDTD method is proposed, which can reduce the numerical dispersion error
Yong-Dan Kong +3 more
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Development of Post Processing for Wave Propagation Problem: Response Filtering Method
Applied Sciences, 2020 This study develops a new response filtering approach for recovering dynamic mechanical stresses under impact loading. For structural safety, it is important to consider the propagation of transient mechanical stresses inside structures under impact ...
Hyeong Seok Koh +3 more
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Legendre Spectral Collocation Technique for Advection Dispersion Equations Included Riesz Fractional
Fractal and Fractional, 2021 The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in dealing with these problems stems from the fact that there is no perfect answer and that tackling them using local numerical methods is tough.
Mohamed M. Al-Shomrani +1 more
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IET Microwaves, Antennas & Propagation, 2021 To obtain high accuracy and efficiency in the simulations, an optimum time step should be taken in finite‐difference time‐domain (FDTD) methods. The authors investigated how time steps impact on numerical dispersion of two FDTD methods including the FDTD(
Yu Cheng +3 more
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Numerical Modeling of Dispersion in Stratified Waters
Coastal Engineering 1976, 1976 A numerical model is developed for the quantitative description of the dispersion process in a two-layer system which represents an approximation for a natural coastal water body during the summer season when a distinct thermocline usually exists. The formulation is based on the convection-diffusion equation, vertically integrated between the layer ...
George C. Christodoulou +1 more
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Numerical simulation of nonlinear dispersive quantization
Discrete and Continuous Dynamical Systems, 2014 In the present paper, the authors develop and analyze new numerical method for the integrable nonlinear Schrödinger equation and the nonlinear Korteweg-de Vries equation with step function initial data and periodic boundary conditions. The method is based on the operator splitting strategy, which also highlights the interplay between the linear and ...
Chen, Gong, Olver, Peter J.
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A 2D WLP‐FDTD method with low numerical dispersion using artificial anisotropy parameters
Electronics Letters, 2021 A finite‐difference time‐domain method is proposed to reduce the numerical dispersion error induced by the non‐uniform meshing of multiscale configurations utilizing weighted Laguerre polynomials.
Ping Ma +4 more
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Mathematics, 2023 The traditional finite element method (FEM) could only provide acceptable numerical solutions for the Helmholtz equation in the relatively small wave number range due to numerical dispersion errors.
Yingbin Chai +4 more
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