000205098 001__ 205098
000205098 005__ 20190317000109.0
000205098 0247_ $$2doi$$a10.1016/j.ocemod.2014.12.006
000205098 022__ $$a1463-5003
000205098 02470 $$2ISI$$a000350989900002
000205098 037__ $$aARTICLE
000205098 245__ $$aComparison of different numerical approaches to the 1D sea-ice thermodynamics problem
000205098 269__ $$a2015
000205098 260__ $$bElsevier$$c2015$$aOxford
000205098 300__ $$a10
000205098 336__ $$aJournal Articles
000205098 520__ $$aThe 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.
000205098 6531_ $$a1D sea-ice thermodynamics
000205098 6531_ $$aSigma vertical coordinate
000205098 6531_ $$aEnthalpy conserving numerical schemes
000205098 6531_ $$aMode comparison
000205098 700__ $$aDupont, Frederic
000205098 700__ $$aVancoppenolle, Martin
000205098 700__ $$aTremblay, Louis-Bruno
000205098 700__ $$0242903$$g168453$$aHuwald, Hendrik
000205098 773__ $$j87$$tOcean Modelling$$q20-29
000205098 8564_ $$uhttps://infoscience.epfl.ch/record/205098/files/OCEMOD942.pdf$$zPublisher's version$$s1064881$$yPublisher's version
000205098 8564_ $$uhttps://infoscience.epfl.ch/record/205098/files/mmc1.doc$$zSupplementary material$$s14848$$ySupplementary material
000205098 909C0 $$xU12533$$0252326$$pCRYOS
000205098 909CO $$qGLOBAL_SET$$particle$$ooai:infoscience.tind.io:205098$$pENAC
000205098 917Z8 $$x168453
000205098 937__ $$aEPFL-ARTICLE-205098
000205098 973__ $$rREVIEWED$$sPUBLISHED$$aOTHER
000205098 980__ $$aARTICLE