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

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

2008-11-07

arxiv.org/abs/0811.1171v1

Physics

Mathematical Physics

Scientific paper

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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