Difference between revisions of "Variable Bottom Topography"

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A problem in which the scattering comes from a variation in the bottom topography.
 
 
 
= Introduction =
 
= Introduction =
  
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approaches have been developed. The first is analytical and the solution is
 
approaches have been developed. The first is analytical and the solution is
 
derived in an almost closed form ([[Porter and Chamberlain 1995]], [[Staziker, Porter and Stirling 1996]] and  
 
derived in an almost closed form ([[Porter and Chamberlain 1995]], [[Staziker, Porter and Stirling 1996]] and  
[[Porter and Porter 2000]]). However this approach is unsuitable to be generalised to
+
[[Porter and Porter 2000]]).  
the case when a thin plate is also floating on the water surface because of
+
 
the complicated free surface boundary condition which the floating plate
+
The second approach is numerical, an example of which is the method
imposes. The second approach is numerical, an example of which is the method
+
developed by [[Liu and Liggett 1982]], in which the boundary element method in a finite
developed by [[Liu82]], in which the boundary element method in a finite
 
 
region is coupled to a separation of variables solution in the semi-infinite
 
region is coupled to a separation of variables solution in the semi-infinite
 
outer domains. This method is well suited to the inclusion of the plate as
 
outer domains. This method is well suited to the inclusion of the plate as

Revision as of 09:57, 15 August 2006

Introduction

The linear wave scattering by variable depth (or bottom topography) in the absence of a floating plate has been considered by many authors. Two approaches have been developed. The first is analytical and the solution is derived in an almost closed form (Porter and Chamberlain 1995, Staziker, Porter and Stirling 1996 and Porter and Porter 2000).

The second approach is numerical, an example of which is the method developed by Liu and Liggett 1982, in which the boundary element method in a finite region is coupled to a separation of variables solution in the semi-infinite outer domains. This method is well suited to the inclusion of the plate as will be shown. For both the analytic and numerical approach the region of variable depth must be bounded.

Wave scattering by a Floating Elastic Plate on water of Variable Bottom Topography was treated in Wang and Meylan 2002 and is described in Floating Elastic Plate on Variable Bottom Topography