Articles | Volume 19, issue 14
https://doi.org/10.5194/gmd-19-7013-2026
https://doi.org/10.5194/gmd-19-7013-2026
Development and technical paper
 | 
31 Jul 2026
Development and technical paper |  | 31 Jul 2026

Comparison of two Euler equation sets in a Discontinuous Galerkin solver for atmospheric modelling (BRIDGE v0.9)

Michael Baldauf and Florian Prill

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Cited articles

Baldauf, M.: A linear solution for flow over mountains and its comparison with the COSMO model, COSMO-Newsletter, 9, 19–24, https://www.cosmo-model.org/content/model/documentation/newsLetters/default.htm (last access: 20 July 2026), 2008. a
Baldauf, M.: Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid, J. Comput. Phys., 410, 109384, 1–26, https://doi.org/10.1016/j.jcp.2020.109384, 2020. a, b, c
Baldauf, M.: A horizontally explicit, vertically implicit (HEVI) discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates, J. Comput. Phys., 446, 110635, https://doi.org/10.1016/j.jcp.2021.110635, 2021. a, b
Baldauf, M. and Prill, F.: BRIDGE (Basic Research for ICON with Discontinuous Galerkin Extension), BRIDGE v0.9, source code, Zenodo [code], https://doi.org/10.5281/zenodo.17977588, 2025. a, b
Baldauf, M., Reinert, D., and Zängl, G.: An analytical solution for linear gravity and sound waves on the sphere as a test for compressible, non-hydrostatic numerical models, Q. J. Roy. Meteor. Soc., 140, 1974–1985, https://doi.org/10.1002/qj.2277, 2014. a, b, c
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Short summary
We present an implementation of the Discontinuous Galerkin approach, a numerical solver of the Euler equations (called BRIDGE (Basic Research for ICON with DG Extension)), which is in particular well suited for numerical models for weather and climate prediction and atmospheric research. Two widespread formulations of the Euler equations with different thermodynamic variables are compared by the inspection of idealised benchmark test cases to assess the properties of the Discontinuous Galerkin method.
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