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| − | Micheal Meylan is a lecturer at the University of Auckland. He complete his Ph.D. under [[Vernon Squire]]
| + | Michael Meylan is a Professor at the [http://www.newcastle.edu.au The University of Newcastle]. The wikiwaves site is largely his work. His home page can be found at [https://www.newcastle.edu.au/profile/mike-meylan] |
| − | in 1993 which was concerned with modelling ice floes using linear wave theory.
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| − | He has worked on various problem connected with linear wave theory in the subsequent time. The idea
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| − | for a website devoted to water waves was his idea.
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| − | [[Image:Mikem.jpg|thumb|right|Photo taken in 1999]] | + | [[Category:People|Meylan, Michael]] |
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| − | = Research =
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| − | Mike's Phd thesis concerned a two-dimensional floating elastic plate which was solved
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| − | using a Green function method. The motivation for the solution was to model ice floe
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| − | and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).
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| − | Mike independently derived the Green function which
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| − | was well known in water waves and goes back to [[John_1950a| John 1950]].
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| − | The derivation method was copied by [[Squire_Dixon_2000a| Squire and Dixon 2000]]
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| − | (based on a close reading of his Phd thesis) for the case, not of a free surface,
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| − | but for a free surface covered by a plate
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| − | The results
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| − | of this research were publised in the ''Journal of Geophysical Research'' were largely
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| − | ignored by later researchers. His Phd thesis probably had a much greater influence on
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| − | the researchers who followed at Otago and it is continuing to appear in journal citations.
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| − | The solution method using a Green function coupled with a Green function for the plate
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| − | (the later Green function does not extend to three dimensions because of the much
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| − | more complicated boundary conditions which exist). The solution method has been
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| − | superseeded by more efficient methods, most notably the [[Wiener-Hopf]] method developed
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| − | by [[Tim Williams]] and the eigenfunction matching method (which applied to
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| − | multiple plates) developed by
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| − | [[Kohout_Meylan_Sakai_Hanai_Leman_Brossard_2006a | Kohout et. al. 2006]].
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| − | Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate
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| − | ([[Meylan_Squire_1996a|Meylan and Squire 1996]]).
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| − | This solution again used a Green function method coupled with the eigenfunctions for a circular
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| − | plate (which can be computed in exact form, at least up to solving an equation involving
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| − | Bessel functions. The solution method has been superseeded by [[Peter_Meylan_Chung_2004a | Peter, Meylan and Chung 2004]].
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| − | Mike also developed a method to solve for plates of arbitrary geometry, initially using
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| − | a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]
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| − | ([[Meylan_2002a|Meylan 2002]]).
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| − | Mike then worked on using the solution for a circular elastic plate to try and construct a model
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| − | for wave scattering in the Marginal Ice Zone ([[Meylan_Squire_Fox_1997a| Meylan, Squire and Fox 1997]]).
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| − | This model was developed independently of the model of [[Masson_LeBlond_1989a | Masson and LeBlond 1989]]
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| − | but shares many similarities with it.
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| − | Mike then began to work on a very abstract (and difficult problems) of an eigenfunction
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| − | expansion method for the non-selfadjoint operator which arises in the scattering model
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| − | of [[Meylan_Squire_Fox_1997a| Meylan, Squire and Fox 1997]]. This work is still
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| − | unpublished although a paper has been submitted. It is not a problem in water wave theory.
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| − | = Publications =
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| − | [[Meylan2002a | Meylan 2002 ]]
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| − | = Mike's Pages =
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| − | [[Scattering Frequencies]]
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