Abstract

AbstractIn this study, the Hybrid MAss flux Convection Scheme (HYMACS) is implemented in the ICOsahedral Non‐hydrostatic (ICON) weather prediction model. In contrast to conventional convection parametrization schemes, the convective up‐ and downdraughts are solely treated as subgrid‐scale processes in HYMACS, whereas the environmental subsidence is passed to the grid‐scale dynamics of the hosting model. It is shown that the operational anisotropic divergence damping in ICON distorts the grid‐scale dynamical response on the net mass transport parametrized by HYMACS. Thus, a revised numerical filter configuration is developed which focuses on both the compatibility to local mass sources (sinks) and the effective suppression of numerical modes inherent from the model's triangular grid. Evaluation of Jablonowski–Williamson dynamical core experiments reveal that the combination of an isotropic second‐order divergence damping with a modified version of the fourth‐order divergence damping outperforms against numerical filters based on diffusion. The obtained results are similar to the operational set‐up indicating just a minor effect on the properties of the dynamical core. Moreover, a series of dry mass lifting experiments with the revised numerical filter confirms its compatability with HYMACS. The distortion of the grid‐scale circulation is removed while gravity waves are still retained despite the potentially degenerative effect of the fourth‐order divergence damping. Analyses of kinetic energy spectra confirm the effective suppression of checkerboard noise for a wide range of different situations. The present study may be understood as a base for future applications of HYMACS with a full cloud model in real‐case studies.

Highlights

  • Over decades, cumulus convection could be safely treated as a subgrid-scale process

  • Due to the continuous increase in computational power and the successive refinement of the grid spacing in atmospheric models, fundamental assumptions made in conventional cumulus parametrization schemes (CPSs) have to be challenged

  • When Hybrid MAss flux Convection Scheme (HYMACS) is implemented into a hosting model, it is crucial to check that the grid-scale dynamics react properly to the local mass source and sinks introduced by our convection scheme

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Summary

INTRODUCTION

Cumulus convection could be safely treated as a subgrid-scale process. The (horizontal) grid spacing in the atmospheric models were too coarse (Δ x ≳ 50 km) to represent explicitly the dynamics of individual cells which comprise narrow up- and downdraughts as well as compensational subsidence in the environment. Ong et al (2017) modified the Kain–Fritsch convection scheme (Kain and Fritsch, 1990; 1993; Kain, 2004) to allow a net convective mass transport and conducted idealized tropical cyclone experiments with the Weather Research and Forecasting (WRF) model They find that the hybrid approach is less sensitive to changes in the grid spacing and has potential benefits on tropical cyclone dynamics.

THE CONCEPT OF HYMACS
IMPLEMENTATION OF HYMACS IN ICON
The ICON model
Physics–dynamics coupling of HYMACS in ICON
Dry mass lifting experiments with COSMO and ICON
Experimental design
Results of the COSMO reference simulation
Problems of handling local mass sources in ICON
The checkerboard problem and its mitigation in ICON
JABLO NOWSKI–W ILLIAMSON TEST CASES
Steady-state test
Baroclinic wave test
Remarks on the convergence of the solution
Key features of the ICON simulation
Analysis of kinetic energy spectra
Further mass lifting experiments
Independence of the grid spacing
Significance for more realistic applications
CONCLUSIONS
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