Articles | Volume 15, issue 6
The Cryosphere, 15, 2541–2568, 2021
https://doi.org/10.5194/tc-15-2541-2021
The Cryosphere, 15, 2541–2568, 2021
https://doi.org/10.5194/tc-15-2541-2021
Research article
04 Jun 2021
Research article | 04 Jun 2021

A method for solving heat transfer with phase change in ice or soil that allows for large time steps while guaranteeing energy conservation

Niccolò Tubini et al.

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Latest update: 30 Jun 2022
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Short summary
We present a new method to compute temperature changes with melting and freezing – a fundamental challenge in cryosphere research – extremely efficiently and with guaranteed correctness of the energy balance for any time step size. This is a key feature since the integration time step can then be chosen according to the timescale of the processes to be studied, from seconds to days.