Optimal control of grids and schemes for the inertial gravity waves equation

Laurent Debreu 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 : Variational data assimilation technique is applied to a simple bidi-mensional wave equation that simulates propagation of internal gravity waves in the ocean in order to control grids and numerical schemes. Grid steps of the vertical grid, Brunt-Vaisala frequency and approximation of the horizontal derivative were used as control parameters either separately or in the joint control. Obtained results show that optimized parameters may partially compensate errors committed by numerical scheme due to insufficient grid resolution.
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Laurent Debreu, Eugene Kazantsev. Optimal control of grids and schemes for the inertial gravity waves equation. 2019. ⟨hal-01968678⟩

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