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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/gmd-2019-102
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-2019-102
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Model description paper 16 May 2019

Model description paper | 16 May 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Geoscientific Model Development (GMD).

WAVETRISK-1.0: an adaptive wavelet hydrostatic dynamical core

Nicholas K.-R. Kevlahan1 and Thomas Dubos2 Nicholas K.-R. Kevlahan and Thomas Dubos
  • 1Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
  • 2Laboratoire de Météorologie Dynamique, École Polytechnique, Palaiseau, France

Abstract. This paper presents the new adaptive dynamical core wavetrisk. The fundamental features of the wavelet-based adaptivity were developed for the shallow water equation on the β-plane in Dubos and Kevlahan (2013) and extended to the icosahedral grid on the sphere in Aechtner et al. (2015). The three-dimensional dynamical core solves the compressible hydrostatic multilayer rotating shallow water equations on a multiscale dynamically adapted grid. The equations are discretized using a Lagrangian vertical coordinate version of dynamico introduced in Dubos et al. (2015). The horizontal computational grid is adapted at each time step to ensure a user-specified relative error in either the tendencies or the solution. The Lagrangian vertical grid is remapped using an adaptive Lagrangian-Eulerian (ALE) algorithm onto the initial hybrid σ pressure-based coordinates as necessary. The resulting grid is adapted horizontally, but uniform over all vertical layers. Thus, the three-dimensional grid is a set of columns of varying sizes. The code is parallelized by domain decomposition using mpi and the variables are stored in a hybrid data structure of dyadic quad trees and patches. A low storage explicit fourth order Runge-Kutta scheme is used for time integration. Validation results are presented for three standard dynamical core test cases: mountain-induced Rossby wave train, baroclinic instability of a jet stream and the Held and Suarez simplified general circulation model. The results confirm good strong parallel scaling and demonstrate that wavetrisk can achieve grid compression ratios of several hundred times compared with an equivalent static grid model.

Nicholas K.-R. Kevlahan and Thomas Dubos
Interactive discussion
Status: open (until 11 Jul 2019)
Status: open (until 11 Jul 2019)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Nicholas K.-R. Kevlahan and Thomas Dubos
Model code and software

WAVETRISK-1.0 N. K.-R. Kevlahan, T. Dubos, and M. Aechtner https://doi.org/10.5281/zenodo.2817161

Nicholas K.-R. Kevlahan and Thomas Dubos
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Latest update: 16 Jun 2019
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Short summary
WAVETRISK-1.0 is a new adaptive dynamical core for global climate modelling. It uses multiscale adaptive wavelet methods to adjust the grid resolution of the model at each time to guarantee error and make optimal use of computational resources. This technique has the potential to make climate simulations more accurate and allow much higher local resolutions. This zoom capability could also be used to focus on significant phenomena (such as hurricanes) or particular regions of the Earth.
WAVETRISK-1.0 is a new adaptive dynamical core for global climate modelling. It uses multiscale...
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