We are thankful to be welcome on these lands in friendship. The lands we are situated on are covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. These lands remain home to many Indigenous nations and peoples.

We acknowledge this land out of respect for the Indigenous nations who have cared for Turtle Island, also called North America, from before the arrival of settler peoples until this day. Most importantly, we acknowledge that the history of these lands has been tainted by poor treatment and a lack of friendship with the First Nations who call them home.

This history is something we are all affected by because we are all treaty people in Canada. We all have a shared history to reflect on, and each of us is affected by this history in different ways. Our past defines our present, but if we move forward as friends and allies, then it does not have to define our future.

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November 1, 2011

Speaker: Marek Stastna, Department of Applied Mathematics, University of Waterloo

Title: Pseudo-spectral simulations of internal wave dynamics: from basin scale to bottom boundary layer interactions

Abstract: The presence of a stable density stratification is the fundamental property of both the atmosphere and natural bodies of water on scales ranging from those associated with small-scale turbulence to those large enough so as to be affected by the Earth's rotation. In this talk I will discuss the numerical simulation of stratified fluid dynamics with a focus on internal wave processes. I will describe the benefits of high-order methods, both for purely numerical simulation and for instances where it is coupled with semi-analytical theory to derive new results. In particular I will discuss fully nonlinear trapped waves over topography, the instability of the bottom boundary layer beneath internal solitary waves and the weakly non-hydrostatic dynamics of small to mid-sized lakes such as those typically found on the Canadian Shield. Throughout, I will introduce the necessary technical vocabulary and will attempt to explain the reasons for the various mathematical developments.

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