205098
20190317000109.0
1463-5003
10.1016/j.ocemod.2014.12.006
doi
000350989900002
ISI
ARTICLE
Comparison of different numerical approaches to the 1D sea-ice thermodynamics problem
Oxford
2015
Elsevier
2015
10
Journal Articles
The vertical one-dimensional sea-ice thermodynamic problem using the principle of conservation of enthalpy is revisited here using (1) the Bitz and Lipscomb (1999) finite-difference approach (FD), (2) a reformulation of the sigma-level transformation of Huwald et al. (2005b) (FV) and (3) a Finite Element approach also in sigma coordinates (FE). These three formulations are compared in terms of physics, numerics, and performance, in order to identify the best choice for large-scale climate models. The BL99 formulation sequentially treats the diffusion of heat and the changes in the vertical position of the ice-snow layers. In contrast, the FV sigma-level transformation elegantly treats both simultaneously. The original FV formulation suffers however from slow convergence. The convergence can nonetheless be improved significantly with a few simple modifications to the original code. The three formulations are compared following the experimental protocol of the Sea Ice Model Intercomparison Project for ice thermodynamics (SIMIP2). It is found that all formulations converge to the same solution. The FD approach, however, suffers from the added cost of the remapping step at large number of ice layers we include in the appendix an optimized version of the FD code–written by one of the reviewer–that resolves this issue. Finally the FE formulation results in a sub-surface temperature over-estimation at low resolution, a problem which disappears at high resolution. Hence, only FD and FV are found suitable for climate models.
1D sea-ice thermodynamics
Sigma vertical coordinate
Enthalpy conserving numerical schemes
Mode comparison
Dupont, Frederic
Vancoppenolle, Martin
Tremblay, Louis-Bruno
Huwald, Hendrik
168453
242903
20-29
Ocean Modelling
87
Publisher's version
1064881
Publisher's version
http://infoscience.epfl.ch/record/205098/files/OCEMOD942.pdf
Supplementary material
14848
Supplementary material
http://infoscience.epfl.ch/record/205098/files/mmc1.doc
CRYOS
252326
U12533
oai:infoscience.tind.io:205098
ENAC
article
GLOBAL_SET
168453
EPFL-ARTICLE-205098
OTHER
PUBLISHED
REVIEWED
ARTICLE