Results 11 to 20 of about 20,962 (291)
A New Pseudo-Spectral Method Using the Discrete Cosine Transform
Journal of Imaging, 2020 The pseudo-spectral (PS) method on the basis of the Fourier transform is a numerical method for estimating derivatives. Generally, the discrete Fourier transform (DFT) is used when implementing the PS method. However, when the values on both sides of the
Izumi Ito
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Computer Modeling in Engineering & Sciences, 2010 A new numerical methodology combining Fourier pseudo-spectral and immersed boundary methods - IMERSPEC - is developed for fluid flow problems governed by the incompressible Navier-Stokes equations. The numerical algorithm consists in a classical Fourier pseudo-spectral methodology using the collocation method where wall boundary conditions are modelled
F.P. Mariano +4 more
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Accurate Pseudo-Spectral Acoustic Wave Modelling with Time Dispersion Elimination
Applied SciencesWe propose an accurate method for modeling acoustic wave propagation. The spatial derivatives are calculated using Fourier transform to reduce spatial numerical dispersion.
Huahui Zeng +5 more
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A solver based on pseudo-spectral analytical time-domain method for the two-fluid plasma model
Scientific Reports, 2021 A number of physical processes in laser-plasma interaction can be described with the two-fluid plasma model. We report on a solver for the three-dimensional two-fluid plasma model equations.
B. Morel +3 more
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High Order Energy Preserving Composition Method for Multi-Symplectic Sine-Gordon Equation
Mathematics, 2023 A fourth-order energy preserving composition scheme for multi-symplectic structure partial differential equations have been proposed. The accuracy and energy conservation properties of the new scheme were verified.
Jianqiang Sun +2 more
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Energy-Preserving AVF Methods for Riesz Space-Fractional Nonlinear KGZ and KGS Equations
Fractal and Fractional, 2023 The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS) method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein–Gordon–Schrödinger (KGS) equations are transformed into two infinite-dimensional ...
Jianqiang Sun, Siqi Yang, Lijuan Zhang
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Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022 AbstractThe present paper aims to report an improve on the development of the IMERSPEC methodology, which is a methodology that couples the Fourier pseudo-spectral and immersed boundary methods, which can now solve flows over complex geometries. In the present work, the Lagrangian mesh that represents the immersed body inside the flow does not have to ...
Felipe Pamplona Mariano +3 more
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An efficient parallel spectral code for 3D periodic flow simulations
SoftwareX, 2022 Numerical results from a spectral code are the defacto standard in CFD community for many fluid flow problems. Their popularity is motivated by the highest accuracy coupled with decent computational performance.
Kairzhan Karzhaubayev +2 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Fourier Neural Operator Network for Fast Photoacoustic Wave Simulations
Algorithms, 2023 Simulation tools for photoacoustic wave propagation have played a key role in advancing photoacoustic imaging by providing quantitative and qualitative insights into parameters affecting image quality.
Steven Guan +2 more
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