Proceedings of the 2018 International Conference on Mathematics, Modeling, Simulation and Statistics Application (MMSSA 2018)

Numerical Calculation of the Penetration of Parametric Beams into Sediment

Authors
Songwen Li
Corresponding Author
Songwen Li
Available Online January 2019.
DOI
10.2991/mmssa-18.2019.33How to use a DOI?
Keywords
parametric array; bottom penetration; KZK equation
Abstract

KZK equation is used as the base of calculation. When the grazing angle of the source is smaller than the critical angle, the Snell’s law can not be used to determine the progressive direction of the evanescent wave in the sediment that is necessary for solving the KZK equation by using the finite difference method. In this paper, a phase-lag method is used to solve this problem. Numerical results are compared with the experimental results published by Muir et al. [J.Sound.Vib. 64, 539-551(1979)] and are shown in good agreement.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 International Conference on Mathematics, Modeling, Simulation and Statistics Application (MMSSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
January 2019
ISBN
10.2991/mmssa-18.2019.33
ISSN
1951-6851
DOI
10.2991/mmssa-18.2019.33How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Songwen Li
PY  - 2019/01
DA  - 2019/01
TI  - Numerical Calculation of the Penetration of Parametric Beams into Sediment
BT  - Proceedings of the 2018 International Conference on Mathematics, Modeling, Simulation and Statistics Application (MMSSA 2018)
PB  - Atlantis Press
SP  - 139
EP  - 142
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmssa-18.2019.33
DO  - 10.2991/mmssa-18.2019.33
ID  - Li2019/01
ER  -