Time-domain and modal response of ice shelves to wave forcing using the finite element method

• Main Authors: Ilyas, Muhammad, Meylan, Michael H., Lamichhane, Bishnu, Bennetts, Luke G.
• Other Authors: The University of Newcastle. Faculty of Science, School of Mathematical and Physical Sciences
• Format: Article in Journal/Newspaper
• Language: English
• Published: Elsevier 2018
• Subjects: ice shelf; linear hydroelasticity; time-domain problem; Ice Shelf; Ice Shelves
• Online Access: http://hdl.handle.net/1959.13/1405372

The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special non-local linear operator with forcing. This operator allows the computational domain to be restricted to the water cavity beneath the ice shelf. The ice shelf motion is expanded using the in vacuo elastic modes and the method of added mass and damping, commonly used in the hydroelasticity of ships, is employed. The ice shelf is assumed to be of constant thickness while the fluid domain is allowed to vary. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. It is shown that shelf submergence affects the resonant vibration frequency, whereas the corresponding mode shapes are insensitive to the submergence in constant depth. Further, the modes are shown to have a pr operty of increasing node number with increasing frequency.