Update AddPeriodicBCAction and BicubicInterpolation

[Silverwing747]

Reason

• In the previous MOOSE, the AddPeriodicBCAction did not properly support array variables.
• Additionally, the BicubicInterpolation::sample2ndDerivative function was not evaluating the mixed second derivative (ddy_dx1dx2)

Design

• AddPeriodicBCAction Modification: Updated the setPeriodicVars method to correctly accommodate array variables. This change ensures that periodic boundary conditions can be applied consistently to all components of a array variable.
• BicubicInterpolation Update: Modified the sample2ndDerivative function to include the computation of the mixed second derivative (ddy_dx1dx2).

[moosebuild]

Job Precheck, step Clang format on a78912e wanted to post the following:

Your code requires style changes.

A patch was auto generated and copied here
You can directly apply the patch by running, in the top level of your repository:

curl -s https://mooseframework.inl.gov/docs/PRs/29821/clang_format/style.patch | git apply -v

Alternatively, with your repository up to date and in the top level of your repository:

git clang-format e29a964c9f5f9bbbc2c39daa796355ca874bcdd4

[GiudGiud]

Thanks for the contribution. I turned on the text and fixed the formatting / QA items.

Can you please add:

• a unit test (in moose/unit/src/BicubicInterpolationTest.C) for the bicubic interpolation routine
• a regression test (in moose/test/tests/bcs/periodic) for the array variable support for periodic BCs

[moosebuild]

Job Documentation, step Docs: sync website on ddf27b9 wanted to post the following:

View the site here

This comment will be updated on new commits.

[moosebuild]

Job Coverage, step Generate coverage on ddf27b9 wanted to post the following:

Framework coverage

	e29a96	#29821 ddf27b
	Total	Total	+/-	New
Rate	85.28%	85.28%	-0.01%	40.00%
Hits	108338	108344	+6	10
Misses	18693	18706	+13	15

Diff coverage report

Full coverage report

Modules coverage

Coverage did not change

Full coverage reports

Reports

• framework
• chemical_reactions
• combined
• contact
• electromagnetics
• external_petsc_solver
• fluid_properties
• fsi
• functional_expansion_tools
• geochemistry
• heat_transfer
• level_set
• misc
• navier_stokes
• optimization
• peridynamics
• phase_field
• porous_flow
• ray_tracing
• rdg
• reactor
• richards
• scalar_transport
• solid_mechanics
• solid_properties
• stochastic_tools
• thermal_hydraulics
• xfem

Warnings

• framework new line coverage rate 40.00% is less than the suggested 90.0%

This comment will be updated on new commits.