Ship wave patterns on floating ice sheets

Abstract

This paper aims to explore the response of a floating icesheet to a load moving in a curved path. We investigate the effect of turning on the wave patterns and strain distribution, and explore scenarios where turning increases the wave amplitude and strain in the ice, possibly leading to crack formation, fracturing and eventual ice failure. The mathematical model used here is the linearized system of differential equations introduced in Dinvay et al. (J. Fluid Mech. 876:122–149, 2019). The equations are solved using the Fourier transform in space, and the Laplace transform in time. The model is tested against existing results for comparison, and several cases of load trajectories involving turning and decelerating are tested.

A Review of Ice Deformation and Breaking Under Flexural-Gravity Waves Induced by Moving Loads

“…The work cited above demonstrates that abundant research results exist regarding FGWs induced by a load moving on an intact, infinite ice sheet. However, there has been relatively little research on the time-domain response of an ice sheet to non-steady motions of the inducing load (Dinvay et al, 2019;Johnsen et al, 2022). Moreover, as research has progressed, studies of the ice fragmentation process caused by a moving load (Lu et al, 2012) have demonstrated the complex nature of the fluid -structure interactions in ice fragmentation.…”

“…A curved path of a load moving on the ice has a significant effect on the strain induced in the ice by the waves excited by the moving load (Johnsen et al, 2022). Different from the movement of a load above the ice, which is limited by space, the vast watershed space under the ice provides the possibility of more extensive and varied trajectories of motion of an underwater object beneath an ice sheet.…”

Wave Resistance Caused by a Point Load Steadily Moving on the Surface of a Floating Viscoelastic Plate

“…Dinvay et al (2019) [20] applied a nonlinear model to study the distributed load of timevarying velocity movement. The mathematical model Johnsen et al (2022) [25] used is the linear system of differential equations introduced by Dinvay et al (2019) [20], exploring the response of floating ice sheets to loads moving along curved paths. Some scholars considered the shape or thickness of the plate.…”