Mathematical and numerical modelling of ice sheets and glaciers ...

• Main Author: Greve, Ralf
• Format: Article in Journal/Newspaper
• Language: English
• Published: Zenodo 2017
• Subjects: Ice sheet; Glacier; Dynamics; Thermodynamics; Modelling; Alta; Severi; Ice Sheet; Ice Shelves
• Online Access: https://dx.doi.org/10.5281/zenodo.3739009; https://zenodo.org/doi/10.5281/zenodo.3739009

Tutorial held at the Workshop "Mathematical Approach to Climate Change Impacts", Istituto Nazionale di Alta Matematica Francesco Severi (INdAM), Rome, Italy, 2017.03.15/16. Summary. Ice sheets (with their attached ice shelves), ice caps and glaciers are active, dynamic components of the climate system of the Earth. As a common feature, these ice bodies show gravity-driven creep flow ("glacial flow"), sustained by the underlying land. This leads to thinning and horizontal spreading, which is essentially compensated by snow accumulation in the higher (interior) areas and melting and calving in the lower (marginal) areas. Any imbalance of this dynamic equilibrium leads to either growing or shrinking ice masses. In this tutorial, we will first review the underlying field theories of continuum mechanics and thermodynamics. Basic concepts are the tensorial measures for stress and strain, and the balance equations for mass, momentum and energy. We will then discuss the material (rheological) properties of ...