Conservation of properties in a free-surface model

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• 作者：Campin ; Jean-Michel ; Adcroft ; Alistair ; Hill ; Chris ; Marshall ; John
• 关键词：Free-surface ; Tracer conservation ; Shallow water equations ; General circulation models
• 刊名：Ocean Modelling
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：6
• 期：3-4
• 页码：221-244
• 全文大小：524 K

文摘

In height coordinate ocean models, natural conservation of tracers (temperature, salinity or any passive tracer) requires that the thickness of the surface cell varies with the free-surface displacement, leading to a non-linear free-surface formulation (NLFS). However, NLFS does not guarantee exact conservation unless special care is taken in the implementation, and in particular the time stepping scheme, as pointed out by Griffies et al. (Monthly Weather Rev. 129 (2001) 1081).