Articles | Volume 11, issue 6
Geosci. Model Dev., 11, 2503–2523, 2018
Geosci. Model Dev., 11, 2503–2523, 2018

Development and technical paper 22 Jun 2018

Development and technical paper | 22 Jun 2018

A conservative reconstruction scheme for the interpolation of extensive quantities in the Lagrangian particle dispersion model FLEXPART

Sabine Hittmeir et al.

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Cited articles

ECMWF: MARS User Documentation, available at:, last access: 10 August 2017. a
Hämmerlin, G. and Hoffmann, K.-H.: Numerische Mathematik, Springer, 4th Edn.,, 1994. a
Hermann, M.: Numerische Mathematik, München Oldenburg, 3rd Edn., 2011. a
Hunter, J. D.: Matplotlib: A 2D graphics environment, Comput. Sci. Eng., 9, 90–95,, 2007. a
Jones, E., Oliphant, T., Peterson, P., et al.: SciPy: Open source scientific tools for Python, available at: (last access: 10 August 2017), 2001–2017. a
Short summary
Model output of quantities such as precipitation usually represents integrals, for example sums over 3 h. It is not trivial to interpolate a time series of such integral values to instantaneous precipitation rates conserving the integral values. A piecewise linear reconstruction is presented which fulfils the conservation, is non-negative, and is continuous at interval boundaries. It will be used in the FLEXPART Lagrangian dispersion model but has many other possible applications.