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Liu-Zhang global cell average limiter (part 1, advection) (#3063)

* draft of LiuZhang cell average limiter

* add simple example (to remove later)

* updates to liu zhang positivity

minor

export

* fixes

* replicating trixi setup

* add missing projection and other fixes

* enable scalar equations

* formatting

* formatting

formatting

* formatting and cleanup

* add elixir

* small-scale tests

* cleanup

* update examples

* add all testing files

TODO: remove later

* update limiter elixir examples

* clean up

* remove scratch file

* update simple examples

* removing cruft files

* formatting

* add tests

* add AMR elixirs

* renaming

* docstring

* optionally record number of Davis-Yin iterations

* euler support

* add Euler examples

* remove redundant elixirs

* renaming

* update tests

* formatting, cleanup, removing stale imports

fix

* add Euler elixirs

* cleanup

* standardizing 1D, 2D, and 3D advection Liu-Zhang elixirs

* update tests

* remove unnecessary nan test

* remove AMR from elixirs to try to stabilize CI

* remove Euler from this PR

* fix history_davis_yin_iterations

* fix docstring

* test history

* formatting

* add AMR elixir and test to improve coverage

* reorganization

* renaming stage_limiter -> global_limiter

* updating tests

* improve robustness and avoid NaNs during time integration

tree_2d_dgsem/elixir_advection_limiter_liu_zhang.jl would not run with CarpenterKennedy2N54 and thresholds = (1e-1) before this fix

* update elixir

* update test

* minor cleanup

* expand comments

commetn

* add warning

* avoid duplicate call to get_cell_volume

* fix cell volume calculation (use correct Jacobian)

* update CI values

* make test of Liu-Zhang limiter activation less sensitive

* update docstring

* clarify Davis-Yin iteration steps and comments

* Apply suggestions from code review

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* add muladd block

* Apply suggestions from code... (continued)

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Source Files on job 28014014633.1