Sea ice floe size distribution in the marginal ice zone: Theory and numerical experiments

摘要: To better describe the state of sea ice in marginal zone (MIZ) with floes varying thicknesses and sizes, both an thickness distribution (ITD) a floe size (FSD) are needed. In this work, we have developed FSD theory that is coupled to ITD Thorndike et al. (1975) order explicitly simulate evolution jointly. The includes function conservation equation parallel equation. takes into account changes due advection, thermodynamic growth, lateral melting. It also because mechanical redistribution ridging and, particularly, fragmentation induced by stochastic ocean surface waves. based on assumption wave-induced breakup random process such when broken, any smaller sizes equal opportunity form, without being either favored or excluded. focus only properties redistribution, implemented simplified model for idealized numerical experiments. Model results show simulated cumulative number (CFND) follows power law as observed satellites airborne surveys. values exponent law, levels breakups, range observations. found resulting mean do not depend how categories partitioned over given range. ability multicategory together may help incorporate additional physics, FSD-dependent mechanics, exchange heat, mass, momentum, wave-ice interactions.