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Reducing Spurious Diapycnal Mixing in Ocean Models

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Energy Transfers in Atmosphere and Ocean

Part of the book series: Mathematics of Planet Earth ((MPE,volume 1))

Abstract

Transport algorithms of numerical ocean circulation models are frequently exhibiting truncation errors leading to spurious diapycnal mixing of water masses. This chapter discusses methods that might be useful in diagnosing spurious diapycnal mixing and describes some approaches that might be helpful for its reduction. The first one is related to the use of the Arbitrary Lagrangian Eulerian (ALE) vertical coordinate which allows the implementation of vertically moving meshes that may partly follow the isopycnals even if the basic vertical coordinate differs from isopycnal. The second approach relies on modified advection schemes with the dissipative part of the transport operators directed isopycnally. Finally the third approach deals with new efficient and stable advection algorithms of arbitrary high order based on the WENO-ADER method, which can be applied to both structured and unstructured meshes. While practical benefits of using the reviewed approaches depend on applications, there are indications that equipping present state-of-the-art ocean circulation models with them would lead to reduced spurious transformations.

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Authors and Affiliations

  1. Leibniz Institute for Baltic Sea Research Warnemünde (IOW), Rostock-Warnemünde, Germany

    Knut Klingbeil & Hans Burchard

  2. Alfred Wegener Institute for Polar and Marine Research (AWI), Bremerhaven, Germany

    Sergey Danilov

  3. Jacobs University, Bremen, Germany

    Sergey Danilov

  4. Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany

    Claus Goetz & Armin Iske

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  1. Knut Klingbeil
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  5. Armin Iske
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  1. Center for Earth System Research and Sustainability (CEN), University of Hamburg, Hamburg, Germany

    Carsten Eden

  2. Department of Mathematics, University of Hamburg, Hamburg, Germany

    Armin Iske

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Klingbeil, K., Burchard, H., Danilov, S., Goetz, C., Iske, A. (2019). Reducing Spurious Diapycnal Mixing in Ocean Models. In: Eden, C., Iske, A. (eds) Energy Transfers in Atmosphere and Ocean. Mathematics of Planet Earth, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-030-05704-6_8

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