Browsing Mathematics (Faculty of) by Supervisor "Lamb, Kevin"
Now showing items 1-11 of 11
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Application of the LANS-alpha Model to Gravity Currents
(University of Waterloo, 2019-10-21)This thesis aims to investigate how HERCULES performs when running a lock-exchange gravity current case. The LANS-alpha model with stratification is also tested as a subgrid model in HERCULES using the same gravity current ... -
Effects of a Geostrophic Current on the Propagation and Generation of Internal Tides
(University of Waterloo, 2021-08-30)Internal tides (ITs) are ubiquitous in a stratified ocean where they are generated in response to tidal flows incident upon bottom topography. Along-shelf currents or boundary currents are ocean currents commonly observed ... -
Examination of Parametric Subharmonic Instability of K₁ Internal Tides Generated by Tidal Flow over a Ridge
(University of Waterloo, 2022-09-26)Internal gravity waves are thought to be a predominant source of mixing in the Earth's oceans. Here, we explore the interplay between two phenomena experienced by internal gravity waves - parametric subharmonic instability ... -
The hydrodynamics of two-dimensional oscillating flows over ripples: the effect of asymmetries in ripple shape and currents
(University of Waterloo, 2017-04-28)The research presented in this thesis involved consideration of three increasingly asymmetric oscillatory flows over two ripple profiles, one of which is asymmetric and represents a small deviation from a symmetric ripple. ... -
The Instability of Geophysical Flows: Two-layer Frontal Instabilities and Continuously Stratified Inertial Instabilities
(University of Waterloo, 2020-09-11)This thesis examines the instabilities of idealized two layer fronts with vertically curved interfaces as well as the inertial instabilities of barotropic and baroclinic jets with background linear stratification. We ... -
Non-linear Interactions between Internal Wave Beams: Beyond the Traditional Approximation.
(University of Waterloo, 2017-09-22)The problem of nonlinear interactions of internal waves is solved using small-amplitude expansions beyond the traditional approximation; that is the horizontal component of the Earth’s rotation vector is included in our ... -
Numerical Simulation of Nonlinear and Dispersive Wave Equations using Adaptive Mesh Refinement (AMR)
(University of Waterloo, 2020-06-24)Numerical solution of time dependent Partial Differential Equations plays an important role in different fluid flow modelling problems. Sometimes a little portion of the computational domain needs high grid resolution in ... -
Numerical simulations of convection and gravity currents near the temperature of maximum density
(University of Waterloo, 2022-08-09)Recently, the dynamics of flows in cold freshwater (temperatures around the temperature of maximum density, 3.98 oC) has garnered much interest in the environmental fluid dynamics community. From a dynamical perspective, ... -
Sensitivity of the Thermal Structure and Circulation Patterns of a Simple Idealized Lake and Lake Erie to External Driving Forces
(University of Waterloo, 2022-12-22)Lake Erie has been a great source of economic growth and drinking water for both Canada and the United States. All lakes in temperate regions that stratify during summer are prone to hypoxia as they will experience some ... -
Simulating Wintertime Lake Dynamics Using the MITgcm Ice Model
(University of Waterloo, 2020-09-23)Lake Erie is an important source of drinking water, a location for recreational activities and a haven for unique ecosystems (e.g. Point Pelee). Recent research has suggested that some wintertime processes are significantly ... -
Simulation of Vortex Interactions With a Solid Wall Using Adaptive Mesh Refinement
(University of Waterloo, 2016-05-12)One feature that is common to many fluid flows is that phenomena of interest often occur at disparate length scales, whether it be vortices interacting with a boundary layer, or shear instabilities on an internal gravity ...