Accelerating frequency-domain numerical methods for weakly nonlinear focused ultrasound using nested meshes

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dc.contributor.authorGroth, Samuel P.
dc.contributor.authorGelat, Pierre
dc.contributor.authorHaqshenas, Seyyed R.
dc.contributor.authorSaffari, Nader
dc.contributor.authorvan 't Wout, Elwin
dc.contributor.authorBetcke, Timo
dc.contributor.authorWells, Garth N.
dc.date.accessioned2025-01-20T22:13:58Z
dc.date.available2025-01-20T22:13:58Z
dc.date.issued2021
dc.description.abstractThe numerical simulation of weakly nonlinear ultrasound is important in treatment planning for focused ultrasound (FUS) therapies. However, the large domain sizes and generation of higher harmonics at the focus make these problems extremely computationally demanding. Numerical methods typically employ a uniform mesh fine enough to resolve the highest harmonic present in the problem, leading to a very large number of degrees of freedom. This paper proposes a more efficient strategy in which each harmonic is approximated on a separate mesh, the size of which is proportional to the wavelength of the harmonic. The increase in resolution required to resolve a smaller wavelength is balanced by a reduction in the domain size. This nested meshing is feasible owing to the increasingly localised nature of higher harmonics near the focus. Numerical experiments are performed for FUS transducers in homogeneous media to determine the size of the meshes required to accurately represent the harmonics. In particular, a fast volume potential approach is proposed and employed to perform convergence experiments as the computation domain size is modified. This approach allows each harmonic to be computed via the evaluation of an integral over the domain. Discretising this integral using the midpoint rule allows the computations to be performed rapidly with the FFT. It is shown that at least an order of magnitude reduction in memory consumption and computation time can be achieved with nested meshing. Finally, it is demonstrated how to generalise this approach to inhomogeneous propagation domains.
dc.fuente.origenWOS
dc.identifier.doi10.1121/10.0005655
dc.identifier.eissn1520-8524
dc.identifier.issn0001-4966
dc.identifier.urihttps://doi.org/10.1121/10.0005655
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94465
dc.identifier.wosidWOS:000675824400003
dc.issue.numero1
dc.language.isoen
dc.pagina.final453
dc.pagina.inicio441
dc.revistaJournal of the acoustical society of america
dc.rightsacceso restringido
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleAccelerating frequency-domain numerical methods for weakly nonlinear focused ultrasound using nested meshes
dc.typeartículo
dc.volumen150
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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