| Issue |
EPL
Volume 85, Number 3, February 2009
|
|
|---|---|---|
| Article Number | 34001 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/85/34001 | |
| Published online | 02 February 2009 | |
A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide
Il'ichev Pacific Oceanological Institute - Baltiyskaya 43, Vladivostok, 690041, Russia
Corresponding authors: petrov@poi.dvo.ru trofimov@poi.dvo.ru
Received:
13
May
2008
Accepted:
7
January
2009
The time-dependent form of Tappert's range refraction parabolic equation is derived and proposed as an artificial boundary condition for the wave equation in a waveguide. The numerical comparison with Higdon's absorbing boundary conditions shows sufficiently good quality of the new boundary condition at low computational cost.
PACS: 42.25.Bs – Wave propagation, transmission and absorption / 02.60.Lj – Ordinary and partial differential equations; boundary value problems / 43.20.Bi – General linear acoustics: Mathematical theory of wave propagation
© EPLA, 2009
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