The Cryosphere
The Cryosphere
TC
Articles | Volume 15, issue 6
Articles | Volume 15, issue 6
https://doi.org/10.5194/tc-15-2541-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/tc-15-2541-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 15, issue 6
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, Stephan Gruber, and Riccardo Rigon

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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.
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