CWR closed in June 2015.
I had the following projects sort of going.
(Except perhaps for a bit associated with 2ci) nothing much immediately publishable, but as long as I'm being a bit useful, I don't mind, though others in power might.)
The main projects I have worked on are
1) Interaction of soliton solutions for Boussinesq-type equations describing internal waves or surface waves. (mostly in 2013)
2) Linear oscillations in lakes, harbours and estuaries
(Surface wave versions of this, in connection with a U-shaped floating harbour was the subject of Hao Peng's M.Eng. dissertation I successfully supervised late 2014-July 2015. It involved SWAN - Simulating WAves Nearshore - package work outside the U and finite element work in FlexPDE inside.)
2a) Surface wave case, main interest fundamental mode
2b) Interfacial waves, main interest fundamental mode
2c) Continuous stratification
3) Algae, work with Christopher Brennen
4) Discussions only: with Volker Rehbock at Curtin: modelling growth of algae in tanks, or in still water more generally.
5) Some consulting work in 2014, consulting to Synergy on the best use of meteorological data in prediction of electricity consumption.
This led on to an interest in CWR's use of WRF weather forecasting.
My main goal at CWR was to help grad students.
For me teaching and research go together, but I need a bit if more advanced teaching than the first year Eng. Maths that earns me a few dollars at Curtin.
I ran a matlab course in early 2014.
My main effort in 2014-15 was to nurse through to publication efforts associated with Project 2c).
Project1) ELCOMvalidation was motivated by the fact that a referee of a paper by Leticia Vilhena asked for validation of the non-hydrostatic ELCOM program in some simple situation.
My efforts on this only lasted March-Apri 2013, as Leticia coped with the referee's requests by herself faster than I could. Project1) might morph, via Project2a) into SWAN validation.
Project2b/2a), well at least 2b) began trying to help with work associated with a PhD student, Wencai, that Nev Fowkes of UWA Maths and Jorg are jointly supervising.
In the end, the student's work will be largely numerical, but comparisons with exact solutions, and checks that the solutions conform to provable qualitative behaviour are thoroughly worthwhile.
Part of this PhD work involves oscillations in lakes.
I'm assembling a few bits and pieces.
* Concerning 2a)
Part I is a survey just on the constant coefficient Helmholtz equation.
Part II will treat varying bottom depths (equation (10.13.19) in the old classic Stoker "Water Waves", for example, in the context of surface waves).
I have over the years learnt lot about the Helmholtz equation - and Part I is evolving from adapting some of my earlier papers.
I rediscovered Leo Maas's 1995 exact solution to Green's 1992 d.e. on Helmholtz mode in harbours with (some) sloping sides. And (new) but probably too tiny to publish, I have a formula for how to cope with harbours connected to the deep ocean across a sill, not just via a narrow deep channel. Sadly I have no realistic application yet. Tried with the 2.7hr surface seiche in Cockburn Sound, but it doesn't really join to the deep ocean in a way that is convincingly like the modelling.
Project2c) Have new results/methods on "Standing internal waves below a horizontal plane: constant Brunt-Vaisala frequency".
Draft 09/09/13 Later versions are at arXiv, and a paper (with Felix Beckenbanze) in "Wave Motion" was published in 2016.
Since the closure of CWR it is extremely unlikely that worthwhile LaTeX-ed notes on projects 3 or 4 will be produced.