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Sensitivity of a Barotropic Ocean Model to Perturbations of the Bottom Topography

Eugene Kazantsev 1, *
* Corresponding author
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK [2007-2015] - Laboratoire Jean Kuntzmann [2007-2015], Grenoble INP [2007-2019] - Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019]
Abstract : In this paper, we look for an operator that describes the relationship between small errors in representation of the bottom topography in a barotropic ocean model and the model's solution. The study shows that the model's solution is very sensitive to topography perturbations in regions where the flow is turbulent. On the other hand, the flow exhibits low sensitivity in laminar regions. The quantitative measure of sensitivity is influenced essentially by the error growing time. At short time scales, the sensitivity exhibits the polynomial dependence on the error growing time. And in the long time limit, the dependence becomes exponential.
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Contributor : Eugene Kazantsev <>
Submitted on : Friday, November 7, 2008 - 10:39:21 AM
Last modification on : Friday, July 17, 2020 - 11:38:57 AM
Long-term archiving on: : Monday, June 7, 2010 - 9:08:56 PM


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  • HAL Id : inria-00337477, version 1
  • ARXIV : 0811.1171


Eugene Kazantsev. Sensitivity of a Barotropic Ocean Model to Perturbations of the Bottom Topography. [Research Report] RR-6717, INRIA. 2008, pp.30. ⟨inria-00337477⟩



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