Improve plane interpolation performance

[efaulhaber]

Depends on #755 and trixi-framework/PointNeighbors.jl#105.

main:

apply postprocess cb                10     256s   88.5%   25.6s   89.5GiB   99.8%  8.95GiB
  ~apply postprocess cb~            10     256s   88.4%   25.6s   89.5GiB   99.8%  8.95GiB
  update systems                    10    159ms    0.1%  15.9ms   56.2KiB    0.0%  5.62KiB

#755:

apply postprocess cb                10    64.4s   62.3%   6.44s   89.3GiB   99.7%  8.93GiB
  ~apply postprocess cb~            10    64.2s   62.1%   6.42s   89.3GiB   99.7%  8.93GiB
  update systems                    10    167ms    0.2%  16.7ms   56.2KiB    0.0%  5.62KiB

this PR:

apply postprocess cb                10    2.22s    3.6%   222ms    305MiB   58.9%  30.5MiB
  write to vtk                      10    1.44s    2.3%   144ms   85.0MiB   16.4%  8.50MiB
  interpolate plane                 10    617ms    1.0%  61.7ms    220MiB   42.5%  22.0MiB
  update systems                    10    162ms    0.3%  16.2ms   56.2KiB    0.0%  5.62KiB

[codecov]

Codecov Report

Attention: Patch coverage is 83.70370% with 22 lines in your changes missing coverage. Please review.

Project coverage is 70.58%. Comparing base (5e219e4) to head (718b0cb).

Files with missing lines	Patch %	Lines
src/general/interpolation.jl	78.43%	22 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #763      +/-   ##
==========================================
- Coverage   70.61%   70.58%   -0.04%     
==========================================
  Files         105      105              
  Lines        6667     6649      -18     
==========================================
- Hits         4708     4693      -15     
+ Misses       1959     1956       -3     

Flag	Coverage Δ
unit	70.58% <83.70%> (-0.04%)	⬇️

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[Copilot]

Copilot reviewed 2 out of 7 changed files in this pull request and generated no comments.

Files not reviewed (5)

• examples/postprocessing/interpolation_plane.jl: Language not supported
• examples/postprocessing/interpolation_point_line.jl: Language not supported
• src/TrixiParticles.jl: Language not supported
• src/general/interpolation.jl: Language not supported
• test/examples/examples.jl: Language not supported

[efaulhaber]

/run-gpu-tests