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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 68))

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Abstract

We present a new finite-difference scheme to study the scattering of sound in the time-domain. The scheme is based on a clever application of the split-operator technique previously employed in quantum mechanics to solve the time-dependent Schrödinger equation. This scheme has advantages in comparison with the usual finite-difference time-domain algorithms. Its main characteristics are: it has a precision of the order (Δt)3; it can work with non-homogeneous space-discretizations; and it verifies the energy conservation law.

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© 2002 Springer Science+Business Media Dordrecht

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Bosquetti, D., Sánchez-Dehesa, J. (2002). The Split-Operator Technique in Acoustical Physics. In: Abrahams, I.D., Martin, P.A., Simon, M.J. (eds) IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity. Fluid Mechanics and Its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0087-0_12

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  • DOI: https://doi.org/10.1007/978-94-017-0087-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6010-5

  • Online ISBN: 978-94-017-0087-0

  • eBook Packages: Springer Book Archive

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