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Open Boundary Conditions and Nesting Techniques

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Atmospheres and Oceans on Computers

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Abstract

The aim of this chapter is to discuss open boundaries and some of the techniques used to deal with them. An open boundary is defined as a computational boundary at which disturbances originating in the interior of the computational domain are allowed to leave without disturbing or deteriorating the interior solution (Røed and Cooper, Advanced physical oceanographic numerical modelling. D. Reidel Publishing Co, Dordrecht, 1986). Even though the governing equations are still valid at these boundaries, they nonetheless constitute a boundary in a numerical sense. Hence, we focus on how to construct conditions, or open boundary conditions (OBCs), in such a way that disturbances originating in the interior of the computational domain are indeed allowed to leave without disturbing or deteriorating the interior solution.

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Notes

  1. 1.

    The forecast provided by this model is what you get when looking at yr (http://www.yr.no/) for the Norwegian forecast area. Outside this area, the forecast is built on the ECMWF model.

  2. 2.

    Daily updated forecasts are available at http://marine.copernicus.eu/.

  3. 3.

    The reason for the difference in terminology regarding dynamical scales in the atmosphere and ocean is that the dynamical scale in the ocean measured in kilometers is called the mesoscale in the atmosphere.

  4. 4.

    Since frictionless motion is considered, it is safe to assume that u is independent of depth.

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Authors and Affiliations

  1. Department of Geosciences, University of Oslo, Oslo, Norway

    Lars Petter Røed

  2. Norwegian Meteorological Institute, Oslo, Norway

    Lars Petter Røed

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  1. Lars Petter Røed
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Correspondence to Lars Petter Røed .

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Røed, L.P. (2019). Open Boundary Conditions and Nesting Techniques. In: Atmospheres and Oceans on Computers. Springer Textbooks in Earth Sciences, Geography and Environment. Springer, Cham. https://doi.org/10.1007/978-3-319-93864-6_7

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