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arXiv · 1410.0045

Mixed finite elements for global tide models

Colin J. Cotter·Robert C. Kirby
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Abstract

We study mixed finite element methods for the linearized rotating shallow water equations with linear drag and forcing terms. By means of a strong energy estimate for an equivalent second-order formulation for the linearized momentum, we prove long-time stability of the system without energy accumulation -- the geotryptic state. A priori error estimates for the linearized momentum and free surface elevation are given in $L^2$ as well as for the time derivative and divergence of the linearized momentum. Numerical results confirm the theoretical results regarding both energy damping and convergence rates.

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Colin J. Cotter, Robert C. Kirby. 2014-09-30. Mixed finite elements for global tide models. https://arxiv.org/abs/1410.0045

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