Investigate warm moist bubble test case

[benegee]

This test case features a strange hump on top of the bubble and should be worth looking at

The most complicated part actually is the computation of the hydrostatic initial condition.

We can do it as in #2, cf.

TrixiAtmo.jl/examples/elixir_moist_euler_moist_bubble.jl

Line 12 in f870c3a

function moist_state(y, dz, y0, r_t0, theta_e0,

or, alternatively, as done here:
https://github.com/trixi-framework/Trixi.jl/blob/cadf32b2f617acc239a53542ba0e5597e7c5cc0b/examples/structured_2d_dgsem/elixir_eulermultimoist_warm_bubble.jl#L19

The latter was adopted from a Fortran code by one of the authors of the paper. It does not require NLSolve, but in the end I did not notice a significant difference.

[tristanmontoya]

I think this (or at least a very similar case to the one pictured) is now addressed with #2.

[benegee]

True!

Maybe we can leave this open to track further developments? I think we will see this test case quite often in the near future.