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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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
ED: Publish subject to revisions (further review by editor and referees) (13 Feb 2021) by Marie Dumont
AR by Niccolo` Tubini on behalf of the Authors (02 Mar 2021)  Author's response    Author's tracked changes    Manuscript
ED: Referee Nomination & Report Request started (15 Mar 2021) by Marie Dumont
RR by Anonymous Referee #2 (27 Mar 2021)
RR by Matthieu Lafaysse (08 Apr 2021)
ED: Publish subject to minor revisions (review by editor) (13 Apr 2021) by Marie Dumont
AR by Niccolo` Tubini on behalf of the Authors (14 Apr 2021)  Author's response    Author's tracked changes    Manuscript
ED: Publish as is (27 Apr 2021) by Marie Dumont
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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.