Articles | Volume 8, issue 12
https://doi.org/10.5194/gmd-8-3891-2015
https://doi.org/10.5194/gmd-8-3891-2015
Model description paper
 | 
09 Dec 2015
Model description paper |  | 09 Dec 2015

Adaptive wavelet simulation of global ocean dynamics using a new Brinkman volume penalization

N. K.-R. Kevlahan, T. Dubos, and M. Aechtner

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In order to easily enforce solid-wall boundary conditions in the presence of complex coastlines, we propose a new mass and energy conserving Brinkman penalization for the rotating shallow water equations. This penalization does not lead to higher wave speeds in the solid region. The error estimates for the penalization are derived analytically and verified numerically for linearized one-dimensional equations. The penalization is implemented in a conservative dynamically adaptive wavelet method.