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.
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.
the Creative Commons Attribution 4.0 License.
Research article
| 
04 Jun 2021
Research article |
| 04 Jun 2021
| 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
Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy
Stephan Gruber
Department of Geography and Environmental Studies, Carleton University, Ottawa, ON, K1S 5B6, Canada
Riccardo Rigon
Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy
Center Agriculture Food Environment, University of Trento, Trento, Italy
Viewed
Total article views: 4,324 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 19 Oct 2020)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 2,812 | 1,433 | 79 | 4,324 | 82 | 65 |
- HTML: 2,812
- PDF: 1,433
- XML: 79
- Total: 4,324
- BibTeX: 82
- EndNote: 65
Total article views: 3,314 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 04 Jun 2021)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 2,309 | 939 | 66 | 3,314 | 73 | 56 |
- HTML: 2,309
- PDF: 939
- XML: 66
- Total: 3,314
- BibTeX: 73
- EndNote: 56
Total article views: 1,010 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 19 Oct 2020)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 503 | 494 | 13 | 1,010 | 9 | 9 |
- HTML: 503
- PDF: 494
- XML: 13
- Total: 1,010
- BibTeX: 9
- EndNote: 9
Viewed (geographical distribution)
Total article views: 4,324 (including HTML, PDF, and XML)
Thereof 4,045 with geography defined
and 279 with unknown origin.
Total article views: 3,314 (including HTML, PDF, and XML)
Thereof 3,076 with geography defined
and 238 with unknown origin.
Total article views: 1,010 (including HTML, PDF, and XML)
Thereof 969 with geography defined
and 41 with unknown origin.
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
Cited
15 citations as recorded by crossref.
- Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost S. Stepanov et al. 10.3390/math9202545
- Modeling Heat Transfer through Permafrost Soil Subjected to Seasonal Freeze-Thaw A. Lubini Tshumuka et al. 10.3390/land11101770
- A novel numerical implementation for the surface energy budget of melting snowpacks and glaciers K. Fourteau et al. 10.5194/gmd-17-1903-2024
- Implementing the Water, HEat and Transport model in GEOframe (WHETGEO-1D v.1.0): algorithms, informatics, design patterns, open science features, and 1D deployment N. Tubini & R. Rigon 10.5194/gmd-15-75-2022
- Comparison of Two CFD Approaches Using Constant and Temperature Dependent Heat Capacities during the Phase Transition in PCMs with Experimental and Analytical Results C. Reichl et al. 10.3390/pr10020302
- The evolution of Arctic permafrost over the last 3 centuries from ensemble simulations with the CryoGridLite permafrost model M. Langer et al. 10.5194/tc-18-363-2024
- A finite-element framework to explore the numerical solution of the coupled problem of heat conduction, water vapor diffusion, and settlement in dry snow (IvoriFEM v0.1.0) J. Brondex et al. 10.5194/gmd-16-7075-2023
- Evaluating the Impact of Soil Enthalpy upon the Thawing Process of the Active Layer in Permafrost Regions of the Qinghai–Tibet Plateau Using CLM5.0 S. Wang et al. 10.3390/rs15010249
- Exploration of Thermal Bridging Through Shrub Branches in Alpine Snow F. Domine et al. 10.1029/2023GL105100
- Investigating the thermal state of permafrost with Bayesian inverse modeling of heat transfer B. Groenke et al. 10.5194/tc-17-3505-2023
- Inconsistency and correction of manually observed ground surface temperatures over snow-covered regions B. Cao et al. 10.1016/j.agrformet.2023.109518
- Numerical Study of Coupled Water and Vapor Flow, Heat Transfer, and Solute Transport in Variably‐Saturated Deformable Soil During Freeze‐Thaw Cycles X. Huang & D. Rudolph 10.1029/2022WR032146
- Modelling the effect of free convection on permafrost melting rates in frozen rock clefts A. Sedaghatkish et al. 10.5194/tc-18-4531-2024
- Initialization of thermal models in cold and warm permafrost C. Ross et al. 10.1139/as-2021-0013
- Classification, deconstruction and evaluation of frost heave models: How modeling methods cause simulation error S. Cheng et al. 10.1016/j.jhydrol.2022.128573
13 citations as recorded by crossref.
- Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost S. Stepanov et al. 10.3390/math9202545
- Modeling Heat Transfer through Permafrost Soil Subjected to Seasonal Freeze-Thaw A. Lubini Tshumuka et al. 10.3390/land11101770
- A novel numerical implementation for the surface energy budget of melting snowpacks and glaciers K. Fourteau et al. 10.5194/gmd-17-1903-2024
- Implementing the Water, HEat and Transport model in GEOframe (WHETGEO-1D v.1.0): algorithms, informatics, design patterns, open science features, and 1D deployment N. Tubini & R. Rigon 10.5194/gmd-15-75-2022
- Comparison of Two CFD Approaches Using Constant and Temperature Dependent Heat Capacities during the Phase Transition in PCMs with Experimental and Analytical Results C. Reichl et al. 10.3390/pr10020302
- The evolution of Arctic permafrost over the last 3 centuries from ensemble simulations with the CryoGridLite permafrost model M. Langer et al. 10.5194/tc-18-363-2024
- A finite-element framework to explore the numerical solution of the coupled problem of heat conduction, water vapor diffusion, and settlement in dry snow (IvoriFEM v0.1.0) J. Brondex et al. 10.5194/gmd-16-7075-2023
- Evaluating the Impact of Soil Enthalpy upon the Thawing Process of the Active Layer in Permafrost Regions of the Qinghai–Tibet Plateau Using CLM5.0 S. Wang et al. 10.3390/rs15010249
- Exploration of Thermal Bridging Through Shrub Branches in Alpine Snow F. Domine et al. 10.1029/2023GL105100
- Investigating the thermal state of permafrost with Bayesian inverse modeling of heat transfer B. Groenke et al. 10.5194/tc-17-3505-2023
- Inconsistency and correction of manually observed ground surface temperatures over snow-covered regions B. Cao et al. 10.1016/j.agrformet.2023.109518
- Numerical Study of Coupled Water and Vapor Flow, Heat Transfer, and Solute Transport in Variably‐Saturated Deformable Soil During Freeze‐Thaw Cycles X. Huang & D. Rudolph 10.1029/2022WR032146
- Modelling the effect of free convection on permafrost melting rates in frozen rock clefts A. Sedaghatkish et al. 10.5194/tc-18-4531-2024
Latest update: 20 Nov 2024
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.
We present a new method to compute temperature changes with melting and freezing – a fundamental...
