期刊
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
卷 146, 期 1, 页码 278-288出版社
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.5116132
关键词
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资金
- Engineering and Physical Sciences Research Council, UK [EP/L020262/1, EP/P008860/1]
- European Union's Horizon 2020 research and innovation programme H2020 ICT 2016-2017 [732411]
- Engineering and Physical Sciences Research Council [EP/P008860/1] Funding Source: researchfish
- EPSRC [EP/L020262/1, EP/P008860/1] Funding Source: UKRI
Accurately representing acoustic source distributions is an important part of ultrasound simulation. This is challenging for grid-based collocation methods when such distributions do not coincide with the grid points, for instance when the source is a curved, two-dimensional surface embedded in a three-dimensional domain. Typically, grid points close to the source surface are defined as source points, but this can result in staircasing and substantial errors in the resulting acoustic fields. This paper describes a technique for accurately representing arbitrary source distributions within Fourier collocation methods. The method works by applying a discrete, band-limiting convolution operator to the continuous source distribution, after which source grid weights can be generated. This allows arbitrarily shaped sources, for example, focused bowls and circular pistons, to be defined on the grid without staircasing errors. The technique is examined through simulations of a range of ultrasound sources, and comparisons with analytical solutions show excellent accuracy and convergence rates. Extensions of the technique are also discussed, including application to initial value problems, distributed sensors, and moving sources. (C) 2019 Author(s).
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