Remove algebra PSyAd code

[DrTVockerodtMO]

PR Summary

Sci/Tech Reviewer: @mo-joshuacolclough
Code Reviewer: @mo-marqh

Removed the PSyAd patches for the algebra adjoints. Unstaged the algebra kernels and test algorithms from being built via PSyAd. Added the algebra adjoint kernels and test algorithms as source code in adjoint and adjoint_tests respectively. I have also taken the liberty to make them faster to run by simplifying a lot of the PSyAdisms.

N.B.: Unit testing adjoint kernels is a bit different to usual kernels. There are no pFUnit tests for these kernels because the unit test for them involves testing against the tangent linear source code (i.e.: testing against kernels/algorithms in lfric_core, gungho, linear, etc.). These have been committed onto the branch.

• is related to Convert PSyAd kernels and algorithms into source code - meta issue #330
• fixes Convert algebra PSyAd kernels and algorithms into source code #338

Code Quality Checklist

• I have performed a self-review of my own code
• My code follows the project's style guidelines
• Comments have been included that aid understanding and enhance the readability of the code
• My changes generate no new warnings
• All automated checks in the CI pipeline have completed successfully

Testing

• I have tested this change locally, using the LFRic Apps rose-stem suite
• If any tests fail (rose-stem or CI) the reason is understood and acceptable (e.g. kgo changes)
• I have added tests to cover new functionality as appropriate (e.g. system tests, unit tests, etc.)
• Any new tests have been assigned an appropriate amount of compute resource and have been allocated to an appropriate testing group (i.e. the developer tests are for jobs which use a small amount of compute resource and complete in a matter of minutes)

trac.log

Test Suite Results - lfric_apps - wololo_psyad_algebra/run2

Suite Information

Item	Value
Suite Name	wololo_psyad_algebra/run2
Suite User	terence.vockerodt
Workflow Start	2026-03-05T19:36:11
Groups Run	developer

Dependency	Reference	Main Like
casim	MetOffice/casim@2026.03.1	True
jules	MetOffice/jules@2026.03.1	True
lfric_apps	DrTVockerodtMO/lfric_apps@convert_psyad_algebra	False
lfric_core	MetOffice/lfric_core@2026.03.1	True
moci	MetOffice/moci@2026.03.1	True
SimSys_Scripts	MetOffice/SimSys_Scripts@2026.03.1	True
socrates	MetOffice/socrates@2026.03.1	True
socrates-spectral	MetOffice/socrates-spectral@2026.03.1	True
ukca	MetOffice/ukca@2026.03.1	True

Task Information

✅ succeeded tasks - 1164

Security Considerations

• I have reviewed my changes for potential security issues
• Sensitive data is properly handled (if applicable)
• Authentication and authorisation are properly implemented (if applicable)

Performance Impact

• Performance of the code has been considered and, if applicable, suitable performance measurements have been conducted

AI Assistance and Attribution

• Some of the content of this change has been produced with the assistance of Generative AI tool name (e.g., Met Office Github Copilot Enterprise, Github Copilot Personal, ChatGPT GPT-4, etc) and I have followed the Simulation Systems AI policy (including attribution labels)

Documentation

• Where appropriate I have updated documentation related to this change and confirmed that it builds correctly

PSyclone Approval

• If you have edited any PSyclone-related code (e.g. PSyKAl-lite, Kernel interface, optimisation scripts, LFRic data structure code) then please contact the TCD Team

Sci/Tech Review

• I understand this area of code and the changes being added
• The proposed changes correspond to the pull request description
• Documentation is sufficient (do documentation papers need updating)
• Sufficient testing has been completed

(Please alert the code reviewer via a tag when you have approved the SR)

Code Review

• All dependencies have been resolved
• Related Issues have been properly linked and addressed
• CLA compliance has been confirmed
• Code quality standards have been met
• Tests are adequate and have passed
• Documentation is complete and accurate
• Security considerations have been addressed
• Performance impact is acceptable

[ericaneininger]

Code owner approval for science/adjoint/build/* on behalf of the SSD team.

[mo-joshuacolclough]

Passes Sci/Tech review. Thank you @DrTVockerodtMO, good to see these patches starting to be removed.