Add manufactured solution test group

[cbegeman]

This PR adds the manufactured solution test group and the convergence test case as described in Bishnu et al.(2023). The test case depends on https://github.com/E3SM-Project/E3SM/pull/5725. The test currently "fails" with a convergence rate of 0.9 rather than ~2 due to https://github.com/E3SM-Project/E3SM/issues/5364.

Checklist

• [X] User's Guide has been updated
• [X] Developer's Guide has been updated
• [X] API documentation in the Developer's Guide (api.md) has any new or modified class, method and/or functions listed
• [X] Documentation has been built locally and changes look as expected
• [X] Testing comment in the PR documents testing used to verify the changes
• [X] New tests have been added to a test suite

[cbegeman]

Testing

This test case has been run with intel, open-mpi on chrysalis.

[cbegeman]

@sbrus89 Thank you for adding those doc strings!

[cbegeman]

These are the updated figures:

[cbegeman]

@sbrus89 I think this is ready to go in when the E3SM PR gets merged.

[cbegeman]

Thanks @sbrus89! I implemented your suggestions

[cbegeman]

@xylar Are you seeing the python 3.8 CI test fail elsewhere?

[xylar]

@cbegeman, no, I haven't seen that anywhere else. The other python checks might also fail, they just got cancelled before they got a chance.

[xylar]

The error message wasn't super helpful but seemed like something that might not happen again if we rerun. Let's see what happens.

[xylar]

Yep just seems to have needed a rerun.

[cbegeman]

@xylar Are you ok with this merge? I just updated the e3sm submodule and retested the PR suite with all passes for existing tests.

[xylar]

@cbegeman, sure, go for it!