Prerequisite: Basic knowledge of fluid/elastic processes in continuous media. Built on the modeling and simulation foundation developed in ErSE203, this specialized course will discuss advanced ideas of multi-scale modeling, linear and non-linear finite element methods, and investigate modern approaches to numerical simulations of hydrodynamic and geophysical turbulence, problems of theoretical glaciology and material science of ice for the prediction of ice sheet evolution, and wave propagation in linear and non-linear media.