scholarly journals An axisymmetric time-domain spectral-element method for full-wave simulations: Application to ocean acoustics

2016 ◽  
Vol 140 (5) ◽  
pp. 3520-3530 ◽  
Author(s):  
Alexis Bottero ◽  
Paul Cristini ◽  
Dimitri Komatitsch ◽  
Mark Asch
Keyword(s):  
Time Domain ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Ocean Acoustics ◽  
Full Wave ◽  
Element Method

scholarly journals Time domain room acoustic simulations using the spectral element method

2019 ◽  
Vol 145 (6) ◽  
pp. 3299-3310 ◽  
Author(s):  
Finnur Pind ◽  
Allan P. Engsig-Karup ◽  
Cheol-Ho Jeong ◽  
Jan S. Hesthaven ◽  
Mikael S. Mejling ◽  
...  
Keyword(s):  
Time Domain ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method

scholarly journals Removing the CFL stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation

Geophysics ◽  
2021 ◽  
pp. 1-29
Author(s):  
Chao Lyu ◽  
Yann Capdeville ◽  
Gang Lv ◽  
Liang Zhao
Keyword(s):  
Time Domain ◽  
Stability Criterion ◽  
Spectral Element Method ◽  
Waveform Inversion ◽  
Spectral Element ◽  
Time Step ◽  
Transform Method ◽  
Time Dispersion ◽  
The Stability ◽  
Element Method

The explicit time-domain spectral-element method (SEM) for synthesizing seismograms hasgained tremendous credibility within the seismological community at all scales. Althoughthe recent introduction of non-periodic homogenization has addressed the spatial meshing difficulty of the mechanical discontinuities, the Courant-Friedrichs-Lewy (CFL) stability criterionstrictly constrains the maximum time step, which still puts a great burden on the numericalsimulation. In the explicit time-domain SEM, the source of instability of using a time stepbeyond the stability criterion is that some unstable eigenvalues of the updated matrix are largerthan what can be accurately simulated. We succeed in removing the CFL stability condition inthe explicit time-domain SEM by combining the forward time dispersion-transform method,the eigenvalue perturbation, and the inverse time dispersion-transform method. Our theoretical analyses and numerical experiments both in the homogeneous, moderate and strong heterogeneous models, show that this combination can precisely simulate waveforms with timesteps dozens of the CFL limit even towards the Nyquist limit especially for the efficient veryhigh degree SEM, which abundantly saves the iteration times without suffering from the time-dispersion error. It demonstrates a potential application prospect in some situations such as thefull waveform inversion which requires multiple numerical simulations for the same model.

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