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A Consideration of Multi-Dimensional Simulation of Nonlinear Acoustic Wave Propagation Using the CIP Method

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 30))

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Abstract

In this study, numerical simulation of nonlinear sound wave propagation in a time domain is demonstrated using the Constrained Interpolation Profile/ Cubic-Interpolated Pseudo-particle (CIP) method. That novel numerical scheme proposed by Yabe, et al., is a method of characteristics (MOC) and a low-dispersion and stable scheme. Actually, CIP method is suitable for analyses of nonlinear wave propagation including weak shock formation because a rapid pressure change such as a shock front easily causes numerical dispersion error in a conventional numerical scheme. Some of the authors have reported application of CIP method to one-dimensional nonlinear sound wave propagation in air. Furthermore, we demonstrate some numerical calculations of nonlinear sound wave propagation for a two-dimensional acoustic field.

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Author information

Authors and Affiliations

  1. Faculty of System Design, Tokyo Metropolitan University, Tokyo, 191-0065, Japan

    M. Konno, K. Okubo & N. Tagawa

  2. Department of Information System Design, Doshisha University, Kyoto, 610-0321, Japan

    T. Tsuchiya

Authors
  1. M. Konno
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  2. K. Okubo
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  3. T. Tsuchiya
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  4. N. Tagawa
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Editor information

Editors and Affiliations

  1. , San Diego VA Healthcare System, University of California, La Jolla Village Dr. 3350, San Diego, 92161, California, USA

    Michael P. André

  2. Medical Center, Dept. Radiological Sciences, University of California, Irvine, City Drive S. 101, Orange, 92868, California, USA

    Joie P. Jones

  3. College of Engineering, Dept. Electrical & Computer Engineering, University of California, Santa Barbara, Santa Barbara, 93106-9560, California, USA

    Hua Lee

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Konno, M., Okubo, K., Tsuchiya, T., Tagawa, N. (2011). A Consideration of Multi-Dimensional Simulation of Nonlinear Acoustic Wave Propagation Using the CIP Method. In: André, M., Jones, J., Lee, H. (eds) Acoustical Imaging. Acoustical Imaging, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3255-3_35

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