My research interests are concerned with understanding the life cycle of the internal tide, beginning with its production via topographic generation, interaction with mesoscale features such as eddies and jets, and eventual dissipation at small scales.
I'm also interested in the application of high order/performance numerical methods. The power of these methods opens up the solution of choice problems that are otherwise prohibitively expensive to solve.
Dunphy, M., and K. G. Lamb. "Focusing and vertical mode scattering of the first mode internal tide by mesoscale eddy interaction", J. Geophys. Res. Oceans, 119, 2014. doi:10.1002/2013JC009293. (Link)
Dunphy, M., Subich, C., and Stastna, M. "Spectral methods for internal waves: indistinguishable density profiles and double-humped solitary waves". Nonlinear Processes in Geophysics, 18, 351-358, 2011. (Link)
Lu, Y., S. Nudds, F. Dupont, M. Dunphy, C. Hannah, and S. Prinsenberg. "High-resolution Modelling of Ocean and Sea-ice Conditions in the Canadian Arctic Coastal Waters". Proceedings of the Twentieth (2010) International Offshore and Polar Engineering Conference. Beijing, China, June 20-25, 2010, (1):1280-1284. (PDF)
Hannah, G.C., Dupont, F., and Dunphy, M. "Polynyas and Tidal Currents in the Canadian Arctic Archipelago". Arctic, 62(1): 83-95, 2009. (Link)
Dunphy, M. "The Influence of Mesoscale Eddies on the Internal Tide", Master's Thesis, 2009. (Link)
DJLES is a MATLAB based package that finds a mode-one internal solitary wave solution to the DJL equation.
You can download it here: DJLES-1.3.tar.gz along with the user guide here: djles.pdf.
Also you can follow development at GitHub.
On Being the Right Size by J. B. S. Haldane
Who Can Name the Bigger Number? by Scott Aaronson
Life at low Reynolds number (PDF) by E.M. Purcell
Best Practices for Scientific Computing by Greg Wilson et. al.
The Environmental and Geophysical Fluid Dynamics Group at Waterloo.
The Fluids Wiki, a collection of possibly useful fluids related information.
Last modified 17 Aug 2016.