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Preprints
https://doi.org/10.5194/egusphere-2024-3411
https://doi.org/10.5194/egusphere-2024-3411
27 Jan 2025
 | 27 Jan 2025
Status: this preprint is open for discussion and under review for Geoscientific Model Development (GMD).

age_flow_line-1.0: a fast and accurate numerical age model for a pseudo-steady flow tube of an ice sheet

Frédéric Parrenin, Ailsa Chung, and Carlos Martín

Abstract. Numerical age models are useful tools for investigating the age of the ice in an ice sheet. They can be used to date ice cores or to interpret isochronal horizons which are observed by radar instruments. Here, we present a new numerical age model for a flow line of an ice sheet. The assumption here is that the geometry of the flow line and the velocity shape functions are steady (i.e. constant in time). A time-varying factor can only be applied to the surface accumulation rates and basal melting rates. Our model uses an innovative coordinate system (𝜋,𝜃), previously published, which is suitable for solving transport equations. Using this coordinate system, solving the age equation is simple, fast and accurate, because the trajectories of ice particles pass exactly through the nodes of the grid. Our numerical scheme, called Eulerian-Lagrangian, therefore combines the advantages of Eulerian and Lagrangian schemes. We present an application of this model to the flow line going from Dome C to Little Dome C and show that horizontal flow is a non-negligible factor which should be considered when modelling the age-depth relationship of the Beyond EPICA ice core. The code we developed for age modelling along a flow tube is named age_flow_line-1.0 and is freely available under an open-source license.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
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We developed a new numerical age solver for a pseudo-steady flow tube of an ice sheet. Thanks to...
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