Add NewtonsMethod for all thermo types

[tapios]

No description provided.

[szy21]

Could you change it for ::ph too? And I think you want tol = 0 instead of nothing? And given that it is with a fixed iteration, maybe we can return without converged, so we don't need those wrappers in ClimaAtmos?

[szy21]

Actually I think we should change the default in the convenience method, not the actual function.

[codecov]

Codecov Report

❌ Patch coverage is 87.37201% with 37 lines in your changes missing coverage. Please review.
✅ Project coverage is 86.58%. Comparing base (93162a7) to head (dc450ce).
⚠️ Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
src/saturation_adjustment.jl	87.37%	37 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #308      +/-   ##
==========================================
- Coverage   87.37%   86.58%   -0.79%     
==========================================
  Files          22       22              
  Lines        1156     1357     +201     
==========================================
+ Hits         1010     1175     +165     
- Misses        146      182      +36     

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[tapios]

Looks good.

Consider reducing duplication by consolidating the fixed_iter functions into one function with methods for the variable combinations.

It would also be good to add tests for the derivatives (against finite differences) to ad_tests.jl.