Extension of a spectral time-stepping domain decomposition method for dispersive and dissipative wave propagation.
For time-domain modeling based on the acoustic wave equation, spectral methods have recently demonstrated promise. This letter presents an extension of a spectral domain decomposition approach, previously used to solve the lossless linear wave equation, which accommodates frequency-dependent atmospheric attenuation and assignment of arbitrary dispersion relations. Frequency-dependence is straightforward to assign when time-stepping is done in the spectral domain, so combined losses from molecular relaxation, thermal conductivity, and viscosity can be approximated with little extra computation or storage. A mode update free from numerical dispersion is derived, and the model is confirmed with a numerical experiment.
Department of Computer Science, Aalto University, P.O. Box 11000, FI-00076 Aalto, Finland jonathan.botts@aalto.fi, lauri.savioja@aalto.fi.
Jonathan
J
Botts
Department of Computer Science, Aalto University, P.O. Box 11000, FI-00076 Aalto, Finland jonathan.botts@aalto.fi, lauri.savioja@aalto.fi.
Lauri
L
Savioja