We present the results of an error analysis of a B-spline based finite-element approximation of the stream-function formulation of the large scale wind-driven ocean circulation. In particular, we derive optimal error estimates for h-refinement using a Nitsche-type variational formulations of the two simplied linear models of the stationary quasigeostrophic equations, namely the Stommel and Stommel–Munk models. Numerical results obtained from simulations performed on rectangular and embedded geometries confirm the error analysis. © 2016, Springer Science+Business Media New York.

Error analysis of a B-spline based finite-element method for modeling wind-driven ocean circulation / Rotundo, N.; Kim, T. Y.; Jiang, W.; Heltai, Luca; Fried, E.. - In: JOURNAL OF SCIENTIFIC COMPUTING. - ISSN 0885-7474. - 69:1(2016), pp. 430-459. [10.1007/s10915-016-0201-1]

Error analysis of a B-spline based finite-element method for modeling wind-driven ocean circulation

Heltai, Luca;
2016-01-01

Abstract

We present the results of an error analysis of a B-spline based finite-element approximation of the stream-function formulation of the large scale wind-driven ocean circulation. In particular, we derive optimal error estimates for h-refinement using a Nitsche-type variational formulations of the two simplied linear models of the stationary quasigeostrophic equations, namely the Stommel and Stommel–Munk models. Numerical results obtained from simulations performed on rectangular and embedded geometries confirm the error analysis. © 2016, Springer Science+Business Media New York.
2016
69
1
430
459
Rotundo, N.; Kim, T. Y.; Jiang, W.; Heltai, Luca; Fried, E.
File in questo prodotto:
File Dimensione Formato  
art%3A10.1007%2Fs10915-016-0201-1.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 1.09 MB
Formato Adobe PDF
1.09 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/11949
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 11
social impact