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This research aims to compare two sets of Euler equations in a Discontinuous Galerkin solver for atmospheric modeling.

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

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Randomized trial compares two Euler equation sets in atmospheric modeling, indicating total energy set's advantages.

This research aims to compare two sets of Euler equations in a Discontinuous Galerkin solver for atmospheric modeling.
Implemented a classical Discontinuous Galerkin solver for atmospheric flows.
Utilized horizontally explicit, vertically implicit (HEVI) approach with IMEX-RK time integration.
Compared two Euler equation sets through idealized test cases.
The equation set using total energy E showed better well-balancing properties than the one using potential temperature θ.
Normal mode stability analysis confirmed the advantages of the total energy set.
The set using total energy E experienced more non-linear instabilities that were only partially addressed by filtering.

Baldauf et al. (2026) studied this question.

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