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     The rheologist Markus Reiner once remarked that “the mountains flowed,” highlighting that glacier ice behaves like a very viscous fluid over long time scales. This talk presents the development and application of stable finite element methods for complex real-world flows, with particular emphasis on glacier dynamics.
     I will first introduce stabilized finite element methods and their combination with deep neural networks for efficient pore-scale flow simulations. I will then discuss glacier applications, including basal-crevasse opening near the grounding line of tidewater glaciers and nonlinear Stokes modeling of mountain-glacier flow. A case study of Xue Mountain Glacial Cirque No. 2 in Taiwan examines the effects of ice thickness and basal sliding on glacier velocity and stress. Finally, I will introduce ongoing work on three-dimensional glacier-bed evolution, where glacier flow is coupled with a basal-erosion law to explore the long-term transformation of a V-shaped valley toward a U-shaped glacial valley.
     These studies illustrate how stable numerical methods can connect flow processes across very different spatial and temporal scales.

More information: https://orcid.org/0000-0003-1783-9606