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| Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland]. | | 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] |
| He completed his Ph.D. under [[Vernon Squire]]
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| 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 water wave theory in the subsequent time.
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| [[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]
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| = Research =
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| == PhD Otago 1991 - 1993==
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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 Solution Method]] ([[Meylan and Squire 1994]]). 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 1950]].
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| The derivation method was copied by [[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 published in the ''Journal of Geophysical Research'' and were largely
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| ignored by later researchers. His Phd thesis probably had a much greater influence, through
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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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| superseded 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 et. al. 2006]].
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| == Post-Doc in Otago 1994 - 1996 ==
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| [[Image:Mikem2006.jpg|thumb|right|Photo taken in 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 superseded by [[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 2002]]).
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| == Post Doc Auckland 1996 - 1998 ==
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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, and Fox 1997]]).
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| This model was developed independently of the model of [[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, 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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|
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| Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland].
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| He completed his Ph.D. under [[Vernon Squire]]
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| in 1993 which was concerned with modelling ice floes using linear wave theory.
| |
| He has worked on various problem connected with linear water wave theory in the subsequent time.
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|
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| ==Massey University 1999 - 2003 ==
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|
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| Mike began working on the [[Time-Dependent Linear Water Wave]] problem.
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| He solved for the time-dependent motion of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]
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| assuming [[Shallow Depth]]. The solution was found using a [[Generalised Eigenfunction Expansion]]
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| and as a sum over [[Scattering Frequencies]] ([[Meylan 2002]]). This lead to a collaboration with
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| [[Christophe Hazard]] and to a solution of the problem of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]
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| on [[Finite Depth]] in the time domain.
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| [[Cynthia Wang]] worked with Mike as a masters (2000) and Phd student (2001-2003). Her master thesis concerned
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| wave scattering by a [[:Category:Floating Elastic Plate|Floating Elastic Plate]] on water of [[Variable Bottom Topography]]
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| ([[Wang and Meylan 2002]]). Cynthia's PhD concerned a higher-order
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| coupled [[Boundary Element Method]] [[Finite Element Method]] for the three-dimensional
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| [[:Category:Floating Elastic Plate|Floating Elastic Plate]] ([[Wang and Meylan 2004]]) and applied this
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| method to the problem of an [[:Category:Infinite Array|Infinite Array]]
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| of [[:Category:Floating Elastic Plate|Floating Elastic Plates]]
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| ([[Wang, Meylan, and Porter 2006]]).
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| Mike developed a method to solve for multiple floes using an extension of the method
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| of [[Meylan 2002]]. This was not published but was used to test the
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| multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]]
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| which was developed during his masters in 2002.
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| Specifically, in [[Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended
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| to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.
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| This work required the development of very sophisticated wave scattering code for bodies of
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| arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was
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| developed and this was published separately ([[Peter and Meylan 2004b]]).
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|
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| Mike also revisited the problem of a [[Circular Floating Elastic Plate]] and developed a method
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| based on the [[Eigenfunction Matching Method]] ([[Peter, Meylan, and Chung 2004]]).
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| Rike Grotmaack worked with Mike for an honours project in 2002 on [[Wave Forcing of Small Bodies]]
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| ([[Grotmaack and Meylan 2006]])
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| == Auckland 2003 - present ==
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| [[Malte Peter]] and Mike have continued to work together and have developed an alternative method
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| for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]]
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| ([[Peter, Meylan, and Linton 2006]]). This method has been recently
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| extended to a [[Semi-Infinite Array]].
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| [[Category:People|Meylan, Michael]]
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|
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| == Auckland 2003 - present ==
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|
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| [[Malte Peter]] and Mike have continued to work together and have developed an alternative method
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| for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]]
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| ([[Peter, Meylan, and Linton 2006]]). This method has been recently
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| extended to a [[Semi-Infinite Array]].
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| [[Category:People|Meylan, Michael]] | | [[Category:People|Meylan, Michael]] |
