On a Computational Advantageous Voigt Regularization for Geophysical Flows

Autores

  • Igor Oliveira Monteiro
  • Carolina Cardoso Manica

DOI:

https://doi.org/10.5540/03.2015.003.02.0052

Palavras-chave:

Barotropic Vorticity model, Voigt regularization, geophysical flow modeling.

Resumo

In this paper we study a linearized Crank-Nicolson in time and Finite Element in space algorithm for the BV-Voigt regularization model of geophysical flows, which presents interesting advantages from the computational point of view. We prove the algorithm conserves energy and is unconditionally stable and optimally convergent. Lastly, we show that the BV-Voigt model provides accurate solutions and compares favorably with a related regularization model in a coarse mesh, a case in which the BV model solution degenerates.

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Publicado

2015-11-18

Edição

Seção

Mecânica dos Fluidos e Aplicações