Perfect boundary conditions for parabolic water-wave models-Reference-Cited by-同舟云学术

Perfect boundary conditions for parabolic water-wave models

Published:1992-04-08 Issue:1899 Volume:437 Page:41-54
ISSN:0962-8444
Container-title:Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

Generalized impedance boundary conditions are presented for parabolic wave models, which provide either perfect diffractive boundary conditions or perfect transmitting boundary conditions. The diffractive conditions permit the modelling of waves in illuminated regions without computations in the shadow regions, while the transmitting conditions allow incident and scattered waves to propagate out of the model. The theory is developed for the simplest parabolic model and for a class of wide-angle parabolic models. Numerical results are presented.

Publisher

The Royal Society

Subject

General Medicine

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1992.0045

Reference19 articles.

1. Current development in the numerical treatment of ocean acoustic propagation. Appl.numer;Ames W. F.;Math.,1987

2. Behrendt L. 1985 A finite element model for water wave diffraction including boundary absorption and bottom friction. 18VA series paper 37 Technical University of Denmark Lyngby.

3. Booij N. 1981 Gravity waves on water with non-uniform depth and current. Rep. 81-1 Department of Civil Engineering Delft University of Technology The Netherlands.

4. Claerbout J. F. 1976 Fundamentals of geophysical data processing. New York: McGraw-Hill.

5. Non-reflecting boundary conditions

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Implementation of fictitious absorbing layers with deceleration effects for one-dimensional Schrödinger equations;Journal of Plasma Physics;2020-10

2. Effects of a shallow flood shoal and friction on hydrodynamics of a multiple‐inlet system;Journal of Geophysical Research: Oceans;2017-07

3. HORIZONTAL DIFFRACTION IN MULTIPLE OBSTACLES USING PARABOLIC EQUATION WITH RECURSIVE CONVOLUTION NONLOCAL BOUNDARY CONDITIONS;Progress In Electromagnetics Research M;2017

4. Analytic discrete transparent boundary conditions for high-order Padé parabolic equations;Wave Motion;2008-09

5. Fast Computation of the Nonlocal Boundary Condition in Finite Difference Parabolic Equation Radiowave Propagation Simulations;IEEE Transactions on Antennas and Propagation;2008-06