Acoustic Wave Equation Modeling in Cylindrical Coordinates with Convolutional PML

Finite element methods are progressively being utilized to assist in the continuous development of loudspeakers. The core of this paper is the method of lumping certain parts of the finite element model, creating a significant reduction in the model complexity that allows for e.g. faster structural optimization. This is illustrated in the paper with a loudspeaker example where the electromagnetic parts are lumped as well as the spider. It is shown that the simplified model still matches the complex response of the full FE model at very high frequencies.

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“…A modified Helmholtz equation [19,20] is solved in a truncated PML region (Ω A ), as shown in Fig. 2.…”

Section: Finite Element Modelmentioning

confidence: 99%

“…( 16) by multiplying the lumped components onto the indicator matrices in Eq. (19). This yields the system of equations for the hybrid FE-LPM model…”

Section: Coupled Systemmentioning

confidence: 99%

Estimation of Optimal Values for Lumped Elements in a Finite Element — Lumped Parameter Model of a Loudspeaker

Nielsen

Andersen

Jensen

et al. 2020

J. Theor. Comp. Acout.

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Frequency-Dependent Spherical-Wave Reflection in Acoustic Media: Analysis and Inversion

Wang

et al. 2017

Pure Appl. Geophys.

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Study on reflection spherical wave at the near surface

Tao

2021

IOP Conf. Ser.: Earth Environ. Sci.

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In real seismic surveys, seismic wave propagates in the form of spherical wave and plane wave is the approximations of spherical wave in the far-field and for high frequencies. The traditional seismic processing and interpretation methods based on the plane wave theory are not exact. Furthermore the difference between the plane wave and spherical wave is strong, especially in the near surface. Studying the characteristics of reflection spherical wave near the surface can develop more accurate wave theory. In this paper, a two-layer model with a high-velocity upper layer is built to analyze the spherical reflection wave characteristics. Tests show when the incident angle reaches a certain level, there will be an irregular wave, the pseudo-spherical wave, following the main reflection spherical wave, which has a great influence on the main reflection wave. This discovery has enriched our understanding of wave propagation theory and it has important guiding significance for accurate study on wave phenomena.

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Acoustic Wave Equation Modeling in Cylindrical Coordinates with Convolutional PML

Cited by 3 publications

References 0 publications

Estimation of Optimal Values for Lumped Elements in a Finite Element — Lumped Parameter Model of a Loudspeaker

Estimation of Optimal Values for Lumped Elements in a Finite Element — Lumped Parameter Model of a Loudspeaker

Frequency-Dependent Spherical-Wave Reflection in Acoustic Media: Analysis and Inversion

Study on reflection spherical wave at the near surface

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