Fourier continuation methods for high-fidelity simulation of nonlinear acoustic beams

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Show simple item record Albin, Nathan L. Bruno, Oscar P. Cheung, Theresa Y. Cleveland, Robin O. 2012-11-26T16:14:57Z 2012-11-26T16:14:57Z 2012-11-26
dc.description.abstract On the basis of recently developed Fourier continuation (FC) methods and associated efficient parallelization techniques, this text introduces numerical algorithms that, due to very low dispersive errors, can accurately and efficiently solve the types of nonlinear partial differential equation (PDE) models of nonlinear acoustics in hundred-wavelength domains as arise in the simulation of focused medical ultrasound. As demonstrated in the examples presented in this text, the FC approach can be used to produce solutions to nonlinear acoustics PDEs models with significantly reduced discretization requirements over those associated with finite-difference, finite-element and finite-volume methods, especially in cases involving waves that travel distances that are orders of magnitude longer than their respective wavelengths. In these examples, the FC methodology is shown to lead to improvements in computing times by factors of hundreds and even thousands over those required by the standard approaches. A variety of one-and two-dimensional examples presented in this text demonstrate the power and capabilities of the proposed methodology, including an example containing a number of scattering centers and nonlinear multiple-scattering events. en_US
dc.language.iso en_US en_US
dc.relation.uri en_US
dc.rights Copyright 2012 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Albin, N., Bruno, O. P., Cheung, T. Y., & Cleveland, R. O. (2012). Fourier continuation methods for high-fidelity simulation of nonlinear acoustic beams. Journal of the Acoustical Society of America, 132(4), 2371-2387. en_US
dc.subject Fourier continuation methods en_US
dc.subject Nonlinear acoustic beams en_US
dc.subject Medical ultrasound en_US
dc.subject Nonlinear partial differential equation models en_US
dc.title Fourier continuation methods for high-fidelity simulation of nonlinear acoustic beams en_US
dc.type Article (publisher version) en_US 2012 en_US
dc.citation.doi doi:10.1121/1.4742722 en_US
dc.citation.epage 2387 en_US
dc.citation.issue 4 en_US
dc.citation.jtitle Journal of the Acoustical Society of America en_US
dc.citation.spage 2371 en_US
dc.citation.volume 132 en_US
dc.contributor.authoreid albin en_US

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