Year of Award
Master of Science (MS)
Department or School/College
Department of Computer Science
Dr. Douglas W. Raiford
Travis Wheeler Johnathan Bardsley Douglas W. Raiford
University of Montana
Numerical Analysis and Scientific Computing
This manuscript is a collection of problems and solutions related to modeling the cryosphere using the ﬁnite element software FEniCS. Included is an introduction to the ﬁnite element method; solutions to a variety of problems in one, two, and three dimensions; an overview of popular stabilization techniques for numerically-unstable problems; and an introduction to the governing equations of ice-sheet dynamics with associated FEniCS implementations. The software developed for this project, Cryospheric Problem Solver (CSLVR), is fully open-source and has been designed with the goal of simplifying many common tasks associated with modeling the cryosphere. CSLVR possesses the ability to download popular geological and geographical data, easily convert between geographical projections, develop sophisticated two- or three-dimensional ﬁnite-element meshes, convert data between many popular formats, and produce production-quality images of data. Scripts are presented which model the ﬂow of ice using geometry deﬁned by mathematical functions and observed Antarctic and Greenland ice-sheets data. A new way of solving the internal energy distribution of ice to match observed intraice water contents within temperate regions is thoroughly explained.
Cummings, Evan M., "MODELING THE CRYOSPHERE WITH FEniCS" (2016). Graduate Student Theses, Dissertations, & Professional Papers. 10802.
© Copyright 2016 Evan M. Cummings