Areas of interest: physical oceanography, physical limnology and nonlinear waves
My research offers possibilities for students with a variety of interests including very theoretically minded students, including those with interests on the Pure Mathematics side of the Applied Math spectrum, numerically/computationally oriented students and students with very applied scientific interests. Work can involve developing new theoretical models and/or numerical models, running large computational fluid dynamics models to address scientific questions, data analysis and the interpretation of numerical model results with physical/mathematical models.
In addition to the specific projects listed below I am interested in supervising students with interests in nonlinear waves. In the realm of fluid mechanics I also have general interests in stratified flows and large scale physical oceanography (e.g., eddies). If you have an interest in one of these areas or others in fluid mechanics, and you are interested in pursuing graduate studies in the Department of Applied Mathematics at the University of Waterloo please get in touch by email at firstname.lastname@example.org.
Unfortunately I do not have funding for a post-doctoral fellow at this time. If you have your own source of support and are interested in working with me please get in touch.
Nonlinear internal wavesInternal waves play a fundamental role in transferring energy from large scale to small dissipation scales in the oceans, atmosphere and lakes. Because of the enhanced mixing that occurs as small scale internal waves break, this nonlinear process has implications ranging from effecting large scale circulation in the ocean (and hence climate) to nutrient fluxes. Problems of interest include wave generation by tide-topography interactions, internal solitary waves and sediment resuspension and transport.
Nonlinear wavesIncluding surface wave problems involving Hamiltonians and Lie Transforms or nonlinear Fourier analysis. Should appeal to the more theoretically inclined student.
High resolution numerical studies of physical processes in lakes including eddies, upwelling and waves and their connection to hypoxia. Interested students should have a background in fluid mechanics and strong mathematical and computational/programming skills. They should also have an interest in multi-disciplinary research. The University of Waterloo has a Water Institute and interested students will have the option of participating in the institute’s Collaborative Water Program.
Hydrodynamic instabilityTheoretical and computational problems related to shear instabilities and mixing associated with tidal flow over a sill and in large amplitude internal solitary waves.
Computational Fluid Dynamics (CFD)Numerical modelling of complex fluid flows is a necessary part of modern research in fluid dynamics and is one that I have had a long-time interest in. Most of the animations you can view on my web site were created from simulations done with a 2-D CFD code that I developed. A 3-D spectral code was recently developed by former student Chris Subich in collaboration with my colleague Marek Stastna.
More details of my research interests are provided here. Research interests of other faculty in the Environmental and Geophysical Fluid Dynamics Group can be found on their web pages.
Both Canadian and international students are encouraged to apply. All accepted students will be provided with sufficient funding to cover tuition and living expenses.