Difference between revisions of "Category:Linear Water-Wave Theory"

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Linear water waves are small amplitude waves for which we can linearise the equations of motion ([[Linear and Second-Order Wave Theory]]). This allows us to solve the equations by a [[Fourier Transform in Time]] so that we need only solve the [[Frequency Domain Problem]].
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= Introduction =
  
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Linear water waves are small amplitude waves for which we can linearise the equations of motion ([[Linear and Second-Order Wave Theory]]).
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It is also standard to consider the problem when waves of a single frequency are incident so that only a single frequency
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needs to be considered, leading to the [[Frequency Domain Problem]].
 
The linear theory is applicable until the wave steepness becomes sufficiently large that non-linear effects become important.
 
The linear theory is applicable until the wave steepness becomes sufficiently large that non-linear effects become important.
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{{standard linear wave equations}}

Revision as of 08:53, 13 September 2008

Introduction

Linear water waves are small amplitude waves for which we can linearise the equations of motion (Linear and Second-Order Wave Theory). It is also standard to consider the problem when waves of a single frequency are incident so that only a single frequency needs to be considered, leading to the Frequency Domain Problem. The linear theory is applicable until the wave steepness becomes sufficiently large that non-linear effects become important.

Template:Standard linear wave equations