Nonhydrostatic Atmospheric Modeling using a z-Coordinate Representation

Jürgen Steppeler Deutscher Wetterdienst, Offenbach, Germany

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Heinz-Werner Bitzer AWGeophys–OrgELBW, Offenbach, Germany

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Maud Minotte University of Bonn, Bonn, Germany

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Luca Bonaventura Dipartimento di Ingegneria Civile ed Ambientale, Università degli Studi di Trento, Trento, Italy

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Abstract

A representation of the orography based on approximate finite-volume techniques is applied to a nonhydrostatic atmospheric model. Techniques previously developed by the authors in the context of a semi-implicit, semi-Lagrangian model are applied also to a Eulerian, split-explicit model. Furthermore, an improved formulation of the original approach is introduced, which allows for better orography representation by introducing a simplified version of the most general shaved cells. A two-dimensional numerical test shows that the method developed does not suffer from the problems reported in connection with the η-coordinate.

Corresponding author address: Dr. Jürgen Steppeler, Deutscher Wetterdienst, Frankfurterstr. 135, 63067 Offenbach, Germany. Email: juergen.steppeler@dwd.de

Abstract

A representation of the orography based on approximate finite-volume techniques is applied to a nonhydrostatic atmospheric model. Techniques previously developed by the authors in the context of a semi-implicit, semi-Lagrangian model are applied also to a Eulerian, split-explicit model. Furthermore, an improved formulation of the original approach is introduced, which allows for better orography representation by introducing a simplified version of the most general shaved cells. A two-dimensional numerical test shows that the method developed does not suffer from the problems reported in connection with the η-coordinate.

Corresponding author address: Dr. Jürgen Steppeler, Deutscher Wetterdienst, Frankfurterstr. 135, 63067 Offenbach, Germany. Email: juergen.steppeler@dwd.de

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