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The influence of numerical advection schemes on the results of ocean general circulation models (1991)

Gerdes, Rüdiger ; Köberle, Cornelia ; Willebrand, Jürgen

Springer

Climate dynamics 5 (1991), S. 211-226

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ISSN: 1432-0894

Quelle: Springer Online Journal Archives 1860-2000

Thema: Geologie und Paläontologie , Physik

Notizen: Abstract The dependence of results from coarse-resolution models of the North Atlantic circulation on the numerical advection algorithm is studied. In particular, the sensitivity of parameters relevant for climate simulations as e.g., meridional transport of mass and heat and main thermocline thickness is investigated. Three algorithms were considered: (a) a central difference scheme with constant values for horizontal and vertical diffusion, (b) an upstream scheme with no explicit diffusion, and (c) a flux-corrected transport (FCT) scheme with constant and strictly isopycnal diffusion. The temporal evolution of the three models on time scales of centuries is markedly different, the upstream scheme resulting in much shorter adjustment time whereas the central difference scheme is slower and controlled by vertical diffusion rather than advection. In the steady state, the main thermocline structure is much less diffusive in the FCT calculation which also has much lower heat transport. Both horizontal circulation and overturning in the meridional-vertical plane are strongest in the upstream-model. The results are discussed in terms of the effective vertical (diapycnal) mixing in the different models. A significant increase in vertical resolution would be required to eliminate the high sensitivity due to the numerical algorithms, and allow physically motivated mixing formulations to become effective.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00210006

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Physical Climate Processes and Feedbacks (2001)

Stocker, T. F. ; Willebrand, Jürgen ; Böning, Claus W. ; [weitere]

Cambridge University Press

In: In: Climate Change 2001: The Scientific Basis. Contribution of Working Group I to the Third Assessment Report of the Intergovernemental Panel on Climate Change. , ed. by Houghton, J. T., Ding, Y. and Griggs, D. J. Cambridge University Press, Cambridge, United Kingdom, pp. 417-470. ISBN 0521-01495-6

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Publikationsdatum: 2020-03-30

Materialart: Book chapter , NonPeerReviewed

Format: text

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The influence of numerical advection schemes on the results of ocean general circulation models (1991)

Gerdes, Rüdiger ; Köberle, Cornelia ; Willebrand, Jürgen

Springer

In: Climate Dynamics, 5 (4). pp. 211-226.

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Publikationsdatum: 2018-03-02

Beschreibung: The dependence of results from coarse-resolution models of the North Atlantic circulation on the numerical advection algorithm is studied. In particular, the sensitivity of parameters relevant for climate simulations as e.g., meridional transport of mass and heat and main thermocline thickness is investigated. Three algorithms were considered: (a) a central difference scheme with constant values for horizontal and vertical diffusion, (b) an upstream scheme with no explicit diffusion, and (c) a flux-corrected transport (FCT) scheme with constant and strictly isopycnal diffusion. The temporal evolution of the three models on time scales of centuries is markedly different, the upstream scheme resulting in much shorter adjustment time whereas the central difference scheme is slower and controlled by vertical diffusion rather than advection. In the steady state, the main thermocline structure is much less diffusive in the FCT calculation which also has much lower heat transport. Both horizontal circulation and overturning in the meridional-vertical plane are strongest in the upstream-model. The results are discussed in terms of the effective vertical (diapycnal) mixing in the different models. A significant increase in vertical resolution would be required to eliminate the high sensitivity due to the numerical algorithms, and allow physically motivated mixing formulations to become effective.

Materialart: Article , PeerReviewed

Format: text

DOI: 10.1007/BF00210006

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