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

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The first steps towards differentiating through Trixi were made in #461. The next steps outlined there are - [x] Benchmark and improve performance of `jacobian_ad_forward` (#464) - [x] Allow differentiating...

enhancement

# Work in progress - do not merge Closes #166 TODO: - [x] https://github.com/JuliaSIMD/LoopVectorization.jl/issues/262 - [x] https://github.com/JuliaSIMD/LoopVectorization.jl/issues/263 - [x] Consider changing the array type in `create_cache(mesh::TreeMesh{2}, equations, mortar_l2::LobattoLegendreMortarL2, uEltype)` when...

performance

This PR prepares Trixi for working with trixi-framework/P4est.jl#42 or trixi-framework/P4est.jl#43. To use it, you need to manually `dev` a local clone of said PRs, e.g., from within a clone of...

upstream

This came up in https://github.com/trixi-framework/Trixi.jl/pull/907#discussion_r729051487: It would be nice to generalize data types used for visualization methods. For example, it would be awesome to be able to plot something like...

visualization

This came up one again in https://github.com/trixi-framework/Trixi.jl/pull/900#discussion_r725094522. If someone wants to earn a T-shirt, this would be a nice Hacktoberfest project. The idea would be to add an optional keyword...

testing
hacktoberfest

The `split_form_kernel!` found in `solvers/dgsem_structured/dg_2d.jl` uses the matrix `derivative_split` from `dg.basis` which is zero along the main diagonal. In essence, this "peels off" the two volume contributions at the `[1,1]`...

discussion

Is there a good way to use `RDPK3SpFSAL49()` with the existing MHD solvers? A naive swap results in errors. For example, running ```julia trixi_include("examples/unstructured_2d_dgsem/elixir_mhd_ec.jl", sol = solve(ode, RDPK3SpFSAL49(), abstol=1e-7, reltol=1e-7,...

enhancement

Hi, I am really interested in using your package for solving McKean-Vlasov equations describing the distribution of mean field of particles. All examples I have in mind are like (say...

enhancement

As noted in https://github.com/trixi-framework/Trixi.jl/pull/880, CI tests currently do not pass when running `elixir_mhd_weak_blast_wave.jl` with `approximation_type=SBP()`. To get tests to pass, a constant GLM cleaning speed was introduced in `elixir_mhd_weak_blast_wave_SBP.jl`. However,...