Cox, B;
Treeby, BE;
(2018)
Accurate Time-Varying Sources in K-Space Pseudospectral Time Domain Acoustic Simulations.
In:
2018 IEEE International Ultrasonics Symposium (IUS).
IEEE
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Abstract
The pseudospectral time domain (PSTD) method is popular as a wave equation solver, one of its advantages being that it permits the use of coarse grids, as long as the spatial sampling is greater than two points-per-wavelength. The k-space PSTD method improves on this by incorporating an additional factor to remove the numerical dispersion which arises from the discretisation of the time derivatives. However, the effect of the temporal discretisation of time-varying sources has not previously been considered, although it can lead to substantial errors in the predicted field unless the timestep is sufficiently small to ensure the highest frequency is sampled at many points-per-period. Here, a correction factor is derived which eliminates this source of error, resulting in a k-space PSTD method that retains the spatial sampling advantage of conventional PSTD schemes but is also accurate as long as the temporal sampling is greater than two points-per-period and the CFL number is < 1.
| Type: | Proceedings paper |
|---|---|
| Title: | Accurate Time-Varying Sources in K-Space Pseudospectral Time Domain Acoustic Simulations |
| Event: | IEEE International Ultrasonics Symposium, 22-25 October 2018, Kobe, Japan |
| ISBN-13: | 978-1-5386-3425-7 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/ULTSYM.2018.8580206 |
| Publisher version: | https://doi.org/10.1109/ULTSYM.2018.8580206 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | acoustic simulation, pseudospectral time domain, k-space, sources |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10061758 |
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