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. A new sea ice dynamical core, the Discrete Element Model for Sea Ice (DEMSI), is under development for use in coupled Earth system models. DEMSI isbased on the discrete element method, which models collections of ice floes as interacting Lagrangian particles. In basin-scale sea ice simulationsthe Lagrangian motion results in significant convergence and ridging, which requires periodic remapping of sea ice variables from a deformedparticle configuration back to an undeformed initial distribution. At the resolution required for Earth system models we cannot resolve individualsea ice floes, so we adopt the sub-grid-scale thickness distribution used in continuum sea ice models. This choice leads to a series of hierarchicaltracers depending on ice fractional area or concentration that must be remapped consistently. The circular discrete elements employed in DEMSI helpimprove the computational efficiency at the cost of increased complexity in the effective element area definitions for sea ice cover that arerequired for the accurate enforcement of conservation. An additional challenge is the accurate remapping of element values along the ice edge, thelocation of which varies due to the Lagrangian motion of the particles. In this paper we describe a particle-to-particle remapping approach based onwell-established geometric remapping ideas that enforces conservation, bounds preservation, and compatibility between associated tracer quantities,while also robustly managing remapping at the ice edge. One element of the remapping algorithm is a novel optimization-based flux correction thatenforces concentration bounds in the case of nonuniform motion. We demonstrate the accuracy and utility of the algorithm in a series of numericaltest cases.

Geometric remapping of particle distributions in the Discrete Element Model for Sea Ice (DEMSI v0.0)