The Cryosphere
The Cryosphere
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Articles | Volume 16, issue 3
Articles | Volume 16, issue 3
https://doi.org/10.5194/tc-16-903-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/tc-16-903-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 16, issue 3
Research article
 | 
11 Mar 2022
Research article |  | 11 Mar 2022

Elements of future snowpack modeling – Part 1: A physical instability arising from the nonlinear coupling of transport and phase changes

Konstantin Schürholt, Julia Kowalski, and Henning Löwe

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Short summary
This companion paper deals with numerical particularities of partial differential equations underlying 1D snow models. In this first part we neglect mechanical settling and demonstrate that the nonlinear coupling between diffusive transport (heat and vapor), phase changes and ice mass conservation contains a wave instability that may be relevant for weak layer formation. Numerical requirements are discussed in view of the underlying homogenization scheme.
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