The spectral element method for the solution of Maxwell’s equations

Semenikhin, I.

doi:10.1088/1742-6596/1461/1/012151

Cited by 1 publication

(1 citation statement)

References 14 publications

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“…As such, only one element is needed for each homogenous span that is free of any discontinuities. SEM has proven its ability in the area of structural dynamics, where it tremendously reduces the computation time and increases the accuracy of obtained results (Lyu et al, 2020;Arruda and Ahmida, 2003;Semenikhin, 2020;Heiner, 2017).…”

Section: Remarks On Fea and Sem And Application In 3-d Ductworkmentioning

confidence: 99%

Spectral analysis of acoustic plane waves in ductworks with uniform and varying cross-section waveguides

Ahmida

2023

Journal of Vibration and Control

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The problem of low-frequency sound propagation in ducts involving varying cross-sections is analyzed. Spectral finite element formulations for the dynamic analysis of varying cross-section ducts are presented as tapered spectral elements. These elements can be used in connected waveguides through dynamic stiffness relations. Linear and polynomial duct types are considered. The elements’ shape functions are established as well as the dynamic stiffness matrices describing the spectral relation between the acoustic pressure and the volume velocity. The presented spectral approach describes the acoustic wave motion at any position along arbitrary multiply connected duct waveguides within the one-dimensional plane-wave assumption. The derived expressions are verified experimentally, and by comparison with 3-D finite element solutions. The modeling of varying cross-section duct waveguides can play an important role in the design of acoustic excitation devices and horn-type loudspeakers. The advantage of the presented formulations lies in the low computational cost when compared to the finite element approach.

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Section: Remarks On Fea and Sem And Application In 3-d Ductworkmentioning

confidence: 99%

Spectral analysis of acoustic plane waves in ductworks with uniform and varying cross-section waveguides

Ahmida

2023

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

The spectral element method for the solution of Maxwell’s equations

Cited by 1 publication

References 14 publications

Spectral analysis of acoustic plane waves in ductworks with uniform and varying cross-section waveguides

Spectral analysis of acoustic plane waves in ductworks with uniform and varying cross-section waveguides

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