Higher Order Flux Corrected Horizontal Transport.

[overfelt]

Checklist

• Documentation:
  • Design document has been generated and added to the docs
  • User's Guide has been updated
  • Developer's Guide has been updated
  • Documentation has been built locally and changes look as expected
• Linting
  • Pre-commit run locally
• Building
  • CMake build does not produce any new warnings from changes in this PR
• Testing
  • Add a comment to the PR titled Testing with the following:
    • Which machines CTest unit tests
      have been run on and indicate that are all passing.
    • The Polaris omega_pr test suite
      has passed, using the Polaris e3sm_submodules/Omega baseline
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    • Indicate "All tests passed" or document failing tests
    • Document testing used to verify the changes including any tests that are added/modified/impacted.
    • Performance related PRs: Please include a relevant PACE experiment link documenting performance before and after.
  • New tests:
    • CTest unit tests for new features have been added per the approved design.
    • Polaris tests for new features have been added per the approved design (and included in a test suite)
• Stealth Features
  • If any stealth features are included in the PR, please confirm that they have been documented.

[cbegeman]

@overfelt I think in the meeting you mentioned success comparing the sphere_transport tests with MPAS-O? When this is ready for review, it would be great to see the convergence plots. Let me know if there are any hang-ups with the tests, as I imagine minimally namelist updates will be needed with this PR. I'm also thinking we would add versions of the tests that use FCT in addition to the current tests that do not, which would be a follow-on polaris PR with a submodule update to this PR after it is merged into Omega.