Difference between revisions of "Michael Meylan"

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Michael Meylan is a senior lecturer at the University of Auckland. He completed his Ph.D. under [[Vernon Squire]]
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Michael Meylan is a senior lecturer at the [http://www.newcastle.edu.nz The University of Newcastle]. The wikiwaves site is largely his work. His home page can be found at [http://carma.newcastle.edu.au/meylan]
in 1993 which was concerned with modelling ice floes using linear wave theory.
 
  
He has worked on various problem connected with linear wave theory in the subsequent time. 
 
  
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]
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[[Category:People|Meylan, Michael]]
 
 
= Research =
 
 
 
Mike's PhD thesis concerned a two-dimensional floating elastic plate which was solved
 
using a Green function method. The motivation for the solution was to model ice floe
 
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).
 
Mike independently derived the Green function which
 
was well known in water waves and goes back to [[John_1950a| John 1950]].
 
The derivation method was copied by [[Squire_Dixon_2000a| Squire and Dixon 2000]]
 
(based on a close reading of his Phd thesis) for the case, not of a free surface,
 
but for a free surface covered by a plate
 
The results
 
of this research were publised in the ''Journal of Geophysical Research'' were largely
 
ignored by later researchers. His Phd thesis probably had a much greater influence, through
 
the researchers who followed at Otago and it is continuing to appear in journal citations.
 
The solution method using a Green function coupled with a Green function for the plate
 
(the later Green function does not extend to three dimensions because of the much
 
more complicated boundary conditions which exist). The solution method has been
 
superseeded by more efficient methods, most notably the [[Wiener-Hopf]] method developed
 
by [[Tim Williams]] and the eigenfunction matching method (which applied to
 
multiple plates) developed by
 
[[Kohout_Meylan_Sakai_Hanai_Leman_Brossard_2006a | Kohout et. al. 2006]].
 
 
 
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate
 
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).
 
This solution again used a Green function method coupled with the eigenfunctions for a circular
 
plate (which can be computed in exact form, at least up to solving an equation involving
 
Bessel functions. The solution method has been superseeded by [[Peter_Meylan_Chung_2004a | Peter, Meylan and Chung 2004]].
 
Mike also developed a method to solve for plates of arbitrary geometry, initially using
 
a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]
 
([[Meylan_2002a|Meylan 2002]]).
 
 
 
Mike then worked on using the solution for a circular elastic plate to try and construct a model
 
for wave scattering in the Marginal Ice Zone ([[Meylan_Squire_Fox_1997a| Meylan, Squire and Fox 1997]]).
 
This model was developed independently of the model of [[Masson_LeBlond_1989a | Masson and LeBlond 1989]]
 
but shares many similarities with it.
 
 
 
Mike then began to work on a very abstract (and difficult problems) of an eigenfunction
 
expansion method for the non-selfadjoint operator which arises in the scattering model
 
of [[Meylan_Squire_Fox_1997a| Meylan, Squire and Fox 1997]]. This work is still
 
unpublished although a paper has been submitted. It is not a problem in water wave theory.
 
 
 
[[Cynthia Wang]] worked with Mike as a masters and Phd student. Her master thesis concerned
 
wave scattering by a [[Floating Elastic Plate]] on water of [[Variable Bottom Topography]]
 
([[Wang_Meylan_2002a| Wang and Meylan 2002]]). Cynthia worked on developing a higher-order
 
coupled [[Boundary Element Method]] [[Finite Element Method]] for the three-dimensional
 
[[Floating Elastic Plate]] ([[Wang_Meylan_2004a|Wang and Meylan 2004]]) and applied this
 
method the problem of an [[Infinite Array]] of [[Floating Elastic Plate|Floating Elastic Plates]]
 
([[Wang_Meylan_Porter_2006a|Wang, Meylan and Porter 2006]]).
 
 
 
Mike developed a method to solve for multiple floes using an extension of the method
 
of [[Meylan_2002a|Meylan 2002]]. This was not published but was used to test the
 
multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]].
 
Specifically, in [[Peter_Meylan_2004a | Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended
 
to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.
 
This work required the development of very sophisticated wave scattering code for bodies of
 
arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was
 
developed and this was published separately ([[Peter_Meylan_2004b | Peter and Meylan 2004]])
 
 
 
= Publications =
 
 
 
[[Meylan2002a | Meylan 2002 ]]
 
 
 
= Mike's Pages =
 
 
 
[[Scattering Frequencies]]
 

Latest revision as of 02:03, 29 October 2012

Michael Meylan is a senior lecturer at the The University of Newcastle. The wikiwaves site is largely his work. His home page can be found at [1]