Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915381821571072 |
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| author | King, Matthew J. Treeby, B. E. Cox, B. T. |
| author_facet | King, Matthew J. Treeby, B. E. Cox, B. T. |
| contents | Non-uniform time stepping in acoustic propagation models can be used to preserve accuracy or reduce computational cost for an acoustic simulation with a wave front propagating through a domain with both heterogeneous and homogenous regions, such as for a simulation of breast ultrasound tomography. The k-space correction already exist within the literature to remove numerical dispersion caused by the time stepping procedure in pseudo-spectral time domain models, but requires a uniform time step. Here we expand this correction to be able to account for a non-uniform time stepping method and illustrate the potential advantages and considerations. A version of this Article has been submitted for review to the Journal of Theoretical and Computational Acoustics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_07635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation King, Matthew J. Treeby, B. E. Cox, B. T. Numerical Analysis Non-uniform time stepping in acoustic propagation models can be used to preserve accuracy or reduce computational cost for an acoustic simulation with a wave front propagating through a domain with both heterogeneous and homogenous regions, such as for a simulation of breast ultrasound tomography. The k-space correction already exist within the literature to remove numerical dispersion caused by the time stepping procedure in pseudo-spectral time domain models, but requires a uniform time step. Here we expand this correction to be able to account for a non-uniform time stepping method and illustrate the potential advantages and considerations. A version of this Article has been submitted for review to the Journal of Theoretical and Computational Acoustics. |
| title | Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2507.07635 |