Merging thesis_gemein_2022 into TrixiAtmo.jl

[Arpit-Babbar]

In the branch https://github.com/trixi-framework/TrixiAtmo.jl/tree/ab_lucas, I am trying to add the results from https://github.com/NichtLucas/Trixi.jl/tree/thesis_gemein_2022 using Trixi as a dependency.

Here is the $v_2$ velocity plot from the elixir https://github.com/trixi-framework/TrixiAtmo.jl/blob/ab_lucas/examples/elixir_moist_euler_nonhydrostatic_gravity_waves.jl

I have not made any changes to the internals of the code from https://github.com/trixi-framework/TrixiAtmo.jl/blob/ab_lucas/examples/elixir_moist_euler_nonhydrostatic_gravity_waves.jl, just added import and using as needed. We could do some more tests for validation. If things are okay, we can decide how to merge this into main (how to break into PRs and review).

[sloede]

Nice work! Can you please create a draft PR such that we can see how much code would have to be merged, in order to make an informed decision?

[tristanmontoya]

Completed in #2.