Optimizing Lateral Boundary Conditions at Staircase-shaped Coastlines: Variational Approach

Christine Kazantsev 1 Eugene Kazantsev 1
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA - Université Grenoble Alpes, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : A 4D-Var data assimilation technique is applied to the rectangular-box configuration of the NEMO in order to identify the optimal parametrization of boundary conditions on lateral boundaries. The case of the staircase shaped coastlines is studied by rotating the model grid around the center of the box. It is shown that, in some cases, the formulation of the boundary conditions on the exact boundary leads to appearance of exponentially growing modes while optimal boundary conditions allow to correct the influence of the stair-case-like boundaries.
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Christine Kazantsev, Eugene Kazantsev. Optimizing Lateral Boundary Conditions at Staircase-shaped Coastlines: Variational Approach. Modern Problems in Numerical Mathematics and Mathematical Modeling, Jun 2015, Moscow, Russia. ⟨hal-01252825⟩

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