Particle-Continuum Multiscale Modeling of Sea Ice Floes ...

• Main Authors: Deng, Quanling, Stechmann, Samuel N., Chen, Nan
• Format: Report
• Language: unknown
• Published: arXiv 2023
• Subjects: Numerical Analysis math.NA; Dynamical Systems math.DS; Computational Physics physics.comp-ph; FOS Mathematics; FOS Physical sciences; Sea ice
• Online Access: https://dx.doi.org/10.48550/arxiv.2303.07819; https://arxiv.org/abs/2303.07819

Sea ice profoundly influences the polar environment and the global climate. Traditionally, Sea ice has been modeled as a continuum under Eulerian coordinates to describe its large-scale features, using, for instance, viscous-plastic rheology. Recently, Lagrangian particle models, also known as the discrete element method (DEM) models, have been utilized for characterizing the motion of individual sea ice fragments (called floes) at scales of 10 km and smaller, especially in marginal ice zones. This paper develops a multiscale model that couples the particle and the continuum systems to facilitate an effective representation of the dynamical and statistical features of sea ice across different scales. The multiscale model exploits a Boltzmann-type system that links the particle movement with the continuum equations. For the small-scale dynamics, it describes the motion of each sea ice floe. Then, as the large-scale continuum component, it treats the statistical moments of mass density and linear and angular ...