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Regarding the HLLC flux for non-cartesian meshes: I have a issue on this #1692 where I show my attempt (which is unfortunately wrong, but I cannot find the bug :( )
In the course of project ADAPTEX I would like to simulate the warm rising bubble test case in dry and moist air, described by Bryan and Fritsch (A Benchmark Simulation for Moist Nonhydrostatic Numerical Models, https://www.atmos.albany.edu/facstaff/rfovell/ATM562/bryan-fritsch-2002.pdf).
This has already been done by Lucas Gemein in his master's thesis, but was not merged into Trixi main.
His branch: https://github.com/NichtLucas/Trixi.jl/tree/thesis_gemein_2022
His PR: #1017
Oswald Knoth's PR: #171
ToDos:
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