On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole

Christian Puntini

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arXiv · 2503.12906

On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole

Christian Puntini

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Abstract

Starting from the governing equations for geophysical flows, by means of a thin-shell approximation and a tangent plane approximation, we derive the equations describing, at leading order, the nonlinear ice-drift flow for regions centered around the North Pole. An exact solution is derived in the material/Lagrangian formalism, describing a superposition of oscillations, a mean Ekman flow and a geostrophic current.

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Christian Puntini. 2025-03-17. On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole. https://arxiv.org/abs/2503.12906

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