Jordan Pitt- Doctor of Philosophy
- Associate Dean of Indigenous Strategy and Services at The University of Sydney
Jordan Pitt
- Doctor of Philosophy
- Associate Dean of Indigenous Strategy and Services at The University of Sydney
Applied mathematics of ocean waves propagating through fields of sea ice.
About
17
Publications
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Introduction
Jordan is a descendant of the Birri Gubba people, Associate Dean of Indigenous Strategy and Services and Applied Mathematician at the University of Sydney, He completed his PhD at the Australian National University in 2019 developing methods to model the inundation caused by tsunamis and storm surges. His current research, begun as a post-doctoral researcher at the University of Adelaide focuses on modelling the interaction between ocean waves and sea ice, which forms as the ocean’s surface free
Current institution
Additional affiliations
February 2021 - present
April 2020 - February 2021
Education
February 2015 - July 2020
February 2011 - December 2014
Publications
Publications (17)
A theoretical model is used to study water waves propagating into and through a region containing thin floating ice, for ice covers transitioning from consolidated (large floe sizes) to fully broken (small floe sizes). The degree of breaking is simulated by a mean floe length. The model predicts deterministic limits for consolidated and fully broke...
Understanding the drivers of iceberg calving from Antarctic ice shelves is important for future sea level rise projections. Ocean waves promote calving by imposing stresses and strains on the shelves. Previous modeling studies of ice shelf responses to ocean waves have focused on highly idealized geometries with uniform ice thickness and a flat sea...
The retreat of Antarctic ice shelves due to calving and the subsequent reduction in buttressing of the Antarctic Ice Sheet are of major concern for future sea-level rise. Sudden, widespread calving of weakened ice shelves has been linked to fracture amplification forced by ocean swell following regional sea-ice losses. Increases in magnitude and du...
An efficient mathematical model is presented for predicting the transfer of ocean waves to ice shelf flexure along two‐dimensional transects. The model incorporates varying ice shelf thickness and seabed bathymetry profiles, and is able to predict responses of large ice shelves over a broad frequency spectrum. The model is used to generate displace...
A numerical scheme for solving the recently derived generalised Serre-Green–Naghdi equations which produce a family of equations modelling waves in shallow water with varying dispersion relationships, is described. The numerical scheme extends schemes applied to the classical Serre-Green–Naghdi equations written in conservation law form and is the...
In the marginal ice zone (MIZ), where ocean waves and sea ice interact, waves can produce flows of water across ice floe surfaces in a process known as wave overwash. Overwash potentially influences wave propagation characteristics, floe thermodynamics, and floe surface biological and chemical processes. However, the extent of the MIZ affected by o...
A summary is given on the utility of laboratory experiments for gaining understanding of wave attenuation in the marginal ice zone, as a complement to field observations, theory and numerical models. It is noted that most results to date are for regular incident waves, which, combined with the highly nonlinear wave–floe interaction phenomena observ...
A model of the extent of overwash into fields of sea ice is developed. The extent model builds on previous work modelling overwash of a single floe by regular waves to include irregular waves and many random floes. The extent model is validated against laboratory experiments. The model is used to study the the extent of overwash into fields of panc...
We describe a numerical method for solving the Serre equations that can simulate flows over dry bathymetry. The method solves the Serre equations in conservation law form with a finite volume method. A finite element method is used to solve the auxiliary elliptic equation for the depth‐averaged horizontal velocity. The numerical method is validated...
A numerical method for solving the Serre equations that can model flows over dry bathymetry is described. The method solves the Serre equations in conservation law form with a finite volume method. A finite element method is used to solve the auxiliary elliptic equation for the depth-averaged horizontal velocity. The numerical method is validated a...
Recent research in numerical wave modelling has focused on developing computational methods for solving non-linear dispersive wave equations as an extension to methods solving the non-linear shallow water wave equations. By including extra terms that allow for dispersion these equations more accurately model water waves than the shallow water wave...
We use numerical methods to study the behaviour of the Serre equations in the presence of steep gradients because there are no known analytical solutions for these problems. In keeping with the literature we study a class of initial condition problems that are a smooth approximation to the initial conditions of the dam-break problem. This class of...
We use numerical methods to study the behaviour of the Serre equations in the presence of steep gradients because there are no known analytical solutions for these problems. In keeping with the literature we study a class of initial condition problems that are a smooth approximation to the initial conditions of the dam-break problem. This class of...
We demonstrate a numerical approach for solving the one-dimensional non-linear weakly dispersive Serre equations. By introducing a new conserved quantity the Serre equations can be written in conservation law form, where the velocity is recovered from the conserved quantities at each time step by solving an auxiliary elliptic equation. Numerical te...
The nonlinear weakly dispersive Serre equations contain higher-order dispersive terms. This includes a mixed derivative flux term which is difficult to handle numerically. The mix spatial and temporal derivative dispersive term is replaced by a combination of temporal and spatial terms. The Serre equations are re-written so that the system of equat...
The nonlinear and weakly dispersive Serre equations contain higher-order dispersive terms. These include mixed spatial and temporal derivative flux terms which are difficult to handle numerically. These terms can be replaced by an alternative combination of equivalent temporal and spatial terms, so that the Serre equations can be written in conserv...
The nonlinear and weakly dispersive Serre equations contain higher-order dispersive terms. These include mixed spatial and temporal derivative flux terms which are difficult to handle numerically. These terms can be replaced by an alternative combination of equivalent temporal and spatial terms, so that the Serre equations can be written in conserv...
