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Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

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Continue #1909. `laplace` equations on hold. Tasks: - [ ] lattice_boltzmann 2d, 3d - [ ] unit tests for above

enhancement
testing

Supersedes #1880. Note I also fixed a few discrepancies between the README and the docs.

documentation

I made a first dirty and "straightforward" draft, but as I anticipated it might have some bugs. I still didn't generalize to keep it simple until I'm sure it will...

### To be decided - [ ] https://github.com/trixi-framework/Trixi.jl/issues/1510 - [ ] https://github.com/trixi-framework/Trixi.jl/issues/1194 - [ ] https://github.com/trixi-framework/Trixi.jl/issues/1046 - [ ] https://github.com/trixi-framework/Trixi.jl/issues/1445 - [ ] https://github.com/trixi-framework/Trixi.jl/pull/1255 - If we want this to...

breaking

This draft is one way how we could realize partitioned RHS's with relatively little changes to the existing code. Opinions on this @sloede ? Related to https://github.com/trixi-framework/Trixi.jl/issues/21

Continue #1909. Tasks: - [ ] shallow_water 1d, 2d - [ ] shallow_water_quasi 1d - [ ] unit tests for above

enhancement

This PR includes: - Adding P4estMesh elixir "elixir_euler_supersonic_cylinder_sc_subcell.jl" and "elixir_euler_sedov_blast_wave_sc_subcell.jl" - Add `calc_bounds_twosided_interface` and `calc_bounds_onesided_interface` for P4estMesh - Update parameters of `get_boundary_outer_state` to allow normal directions, inner values (for slip...

enhancement

This pull request changes the compat entry for the `Static` package from `0.8.7` to `0.8.7, 1`. This keeps the compat entries for earlier versions. Note: I have not tested your...

We still do not check the formatting of everything. We should fix this. Then, we can also consider using https://github.com/julia-actions/julia-format

testing