Publication: A k-space method for acoustic propagation using coupled first-order equations in three dimensions
All || By Area || By Year| Title | A k-space method for acoustic propagation using coupled first-order equations in three dimensions | Authors/Editors* | J.C. Tillett, M.I. Daoud, J.C. Lacefield, R.C. Waag |
|---|---|
| Where published* | J. Acoust. Soc. Am. |
| How published* | Journal |
| Year* | 2009 |
| Volume | 126 |
| Number | 3 |
| Pages | 1231-1244 |
| Publisher | American Institute of Physics |
| Keywords | |
| Link | http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JASMAN000126000003001231000001&idtype=cvips&gifs=Yes |
| Abstract |
A previously described two-dimensional k-space method for large-scale calculation of acoustic wave propagation in tissues is extended to three dimensions. The three-dimensional method contains all of the two-dimensional method features that allow accurate and stable calculation of propagation. These features are spectral calculation of spatial derivatives, temporal correction that produces exact propagation in a homogeneous medium, staggered spatial and temporal grids, and a perfectly matched boundary layer. Spectral evaluation of spatial derivatives is accomplished using a fast Fourier transform in three dimensions. This computational bottleneck requires all-to-all communication; execution time in a parallel implementation is therefore sensitive to node interconnect latency and bandwidth. Accuracy of the three-dimensional method is evaluated through comparisons with exact solutions for media having spherical inhomogeneities. Large-scale calculations in three dimensions were performed by distributing the nearly 50 variables per voxel that are used to implement the method over a cluster of computers. Two computer clusters used to evaluate method accuracy are compared. Comparisons of k-space calculations with exact methods including absorption highlight the need to model accurately the medium dispersion relationships, especially in large-scale media. Accurately modeled media allow the k-space method to calculate acoustic propagation in tissues over hundreds of wavelengths. |
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