Large-scale turbulence modelling via alpha-regularisation for atmospheric 
simulations

Aizinger, Vadym; Korn, Peter; Giorgetta, Marco A.; Reich, Sebastian

doi:10.1080/14685248.2014.991443

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Large-scale turbulence modelling via alpha-regularisation for atmospheric simulations

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Korn, Peter
Applied Mathematics and Computational Physics (AMCP), Scientific Computing Lab (ScLab), MPI for Meteorology, Max Planck Society;

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Giorgetta, Marco A.
Climate Modelling, The Atmosphere in the Earth System, MPI for Meteorology, Max Planck Society;

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Citation

Aizinger, V., Korn, P., Giorgetta, M. A., & Reich, S. (2015). Large-scale turbulence modelling via alpha-regularisation for atmospheric simulations. Journal of Turbulence, 16, 367-391. doi:10.1080/14685248.2014.991443.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0025-1B05-0

Abstract

We study the possibility of obtaining a computational turbulence model by means of non-dissipative regularisation of the compressible atmospheric equations for climate-type applications. We use an α-regularisation (Lagrangian averaging) of the atmospheric equations. For the hydrostatic and compressible atmospheric equations discretised using a finite volume method on unstructured grids, deterministic and non-deterministic numerical experiments are conducted to compare the individual solutions and the statistics of the regularised equations to those of the original model. The impact of the regularisation parameter is investigated. Our results confirm the principal compatibility of α-regularisation with atmospheric dynamics and encourage further investigations within atmospheric model including complex physical parametrisations.