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

Viewed

Total article views: 7,182 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
5,136 1,935 111 7,182 143 201
  • HTML: 5,136
  • PDF: 1,935
  • XML: 111
  • Total: 7,182
  • BibTeX: 143
  • EndNote: 201
Views and downloads (calculated since 19 Oct 2020)
Cumulative views and downloads (calculated since 19 Oct 2020)

Viewed (geographical distribution)

Total article views: 7,182 (including HTML, PDF, and XML) Thereof 6,766 with geography defined and 416 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 
Latest update: 09 Mar 2026
Download
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.
Read more
Share