Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions-Reference-Cited by-同舟云学术

Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions

Published:1988-03 Issue: Volume:188 Page:465-490
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Martin P. A.,Dalrymple Robert A.

Abstract

The method of matched asymptotic expansions is applied to several long-wave problems including the scattering of acoustic waves by a grating of cylinders and the scattering of water waves incident on horizontal cylinders. It is shown that a naïve application of the method can lead to incorrect results. A modified expansion procedure is developed and applied to a number of problems.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference35 articles.

1. Smythe, W. R. 1968 Static and Dynamic Electricity ,3rd edn.McGraw-Hill.

2. Richmond, H. W. 1923 On the electrostatic field of a plane or circular grating formed of thick rounded bars.Proc. Lond. Math. Soc. (2) 22,389–403.

3. Lamb, H. & Cook, G. 1910 A hydrodynamical illustration of the theory of the transmission of aerial and electrical waves by a grating.Phil. Mag. (6)20,303–309.

4. Packham, B. A. & Williams, W. E. 1972 A note on the transmission of water waves through small apertures.J. Inst. Maths. Applies. 10,176–184.

5. Miles, J. W. 1983 Surface-wave diffraction by a periodic row of submerged ducts.J. Fluid Mech. 128,155–180.

Cited by 58 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. Jump Conditions for Boussinesq Equations Due to an Abrupt Depth Transition;SIAM Journal on Applied Mathematics;2024-08-13

2. Target strength analysis using reflection coefficient of a submarine with low-frequency anechoic coatings;Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment;2024-02-07

3. Going round the bend: reflection and transmission of long waves by waveguide corners and labyrinths;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-12

4. Blockage coefficient of cylindrical blocker and diffusion resistance of membrane channels;Physics of Fluids;2023-01

5. Multi-frequency blocking effects by multiple vertical cylinders designed using combination grating theories;Ocean Engineering;2022-12