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
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, UJF - Université Joseph Fourier - Grenoble 1, INPG - Institut National Polytechnique de Grenoble
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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Modern Problems in Numerical Mathematics and Mathematical Modeling, Jun 2015, Moscow, Russia
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Soumis le : vendredi 8 janvier 2016 - 12:11:54
Dernière modification le : mercredi 11 avril 2018 - 01:50:55

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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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