iceFEM: a FreeFem package for wave induced ice-shelf vibrations

Vibrations of ice-shelves in response to ocean waves were first investigated by Holdsworth & Glynn (1978) who proposed that resonant vibrations lead to icebergs calving from the shelf front. Since then seismometric measurements on the Ross ice-shelf, the largest Antarctic ice-shelf, confirmed the presence of this ocean wave-induced ice-shelf vibration (Bromirski et al., 2015; Massom et al., 2018). The period of vibration ranged from the long infragravity/tsunami waves to shorter, swell waves. More recently, Brunt et al. (2011) presented the first observational evidence that a Northern Hemisphere tsunami triggered calving on the Sulzberger ice shelf. Mathematical models based on linear wave theory have been proposed to study these ocean-wave induced ice-shelf vibrations.