Implement new closure system for turbulent mixing closures in SCM.

[kyriv1980]

This PR resolves #30049.

Final Pr that completes the restructuring of the closure system in SCM.

[chatgpt-codex-connector]

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[moosebuild]

Job Coverage, step Generate coverage on 98f37a5 wanted to post the following:

Framework coverage

Coverage did not change

Modules coverage

Subchannel

	1363e1	#32221 98f37a
	Total	Total	+/-	New
Rate	93.50%	93.45%	-0.05%	100.00%
Hits	6159	6206	+47	215
Misses	428	435	+7	0

Diff coverage report

Full coverage report

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
• subchannel
• thermal_hydraulics
• xfem

This comment will be updated on new commits.

[moosebuild]

Job Documentation, step Docs: sync website on 98f37a5 wanted to post the following:

View the site here

This comment will be updated on new commits.

[GiudGiud]

There are more than 1 closure lumped into these beta calculations. As long as the closures used are consistent between the problem and the closures in the beta we will be in a good spot if we need to change these closures

[moosebuild]

Job Precheck, step Clang format on 3db18c5 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/32221/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 ef2aa2d3b38c60949906e01820eed155306885a5

[moosebuild]

Job Documentation public apps on a8c1cd7 : invalidated by @kyriv1980

[moosebuild]

Job Coverage, step Verify coverage on e52fda1 wanted to post the following:

The following coverage requirement(s) failed:

• Failed to generate ray_tracing coverage rate (required: 93.0%)
• Failed to generate rdg coverage rate (required: 63.0%)
• Failed to generate reactor coverage rate (required: 90.0%)
• Failed to generate richards coverage rate (required: 93.0%)

[moosebuild]

Job Coverage on e52fda1 : invalidated by @kyriv1980

[moosebuild]

Job Test, step Results summary on 98f37a5 wanted to post the following:

Framework test summary

Compared against 1363e1b in job civet.inl.gov/job/3552320.

No change

Modules test summary

Compared against 1363e1b in job civet.inl.gov/job/3552320.

No added tests

Run time changes

Test	Base (s)	Head (s)	+/-	Base (MB)	Head (MB)
solid_mechanics/test:rate_independent_cyclic_hardening.nonlin_isokinharden_symmetric_strain_controlled	12.40	19.43	+56.68%	0.00	0.00
stochastic_tools/test:transfers/sampler_reporter.transfer/normal	8.49	13.28	+56.51%	0.00	0.00
solid_mechanics/test:rate_independent_cyclic_hardening.nonlin_kinharden_nonsymmetric_strain_controlled	7.17	11.01	+53.53%	0.00	0.00
solid_mechanics/test:smeared_cracking.energybased_exponential	3.43	5.26	+53.40%	0.00	0.00
stochastic_tools/test:transfers/sampler_reporter.transfer/distributed	4.16	6.37	+53.13%	0.00	0.00
solid_mechanics/test:combined_creep_plasticity.combined_start_time	6.72	10.28	+52.90%	0.00	0.00
solid_mechanics/test:dynamics/acceleration_bc.acceleration_bc	4.04	6.18	+52.80%	0.00	0.00
solid_mechanics/test:combined_creep_plasticity.creepWithPlasticity	6.42	9.79	+52.50%	0.00	0.00
solid_mechanics/test:rate_independent_cyclic_hardening.linear_kinharden_symmetric_strain_controlled	5.77	8.76	+51.89%	0.00	0.00
solid_mechanics/test:smeared_cracking.rz_exponential	14.40	21.87	+51.86%	0.00	0.00
solid_mechanics/test:combined_creep_plasticity.combined	6.80	10.32	+51.68%	0.00	0.00
solid_mechanics/test:beam/static.euler_finite_rot_y	4.16	6.30	+51.35%	0.00	0.00
navier_stokes/test:finite_volume/ins/channel-flow/linear-segregated/1d-scalar.channel/transient-physics	6.27	9.48	+51.21%	0.00	0.00
solid_mechanics/test:temperature_dependent_hardening.test	2.65	4.01	+51.07%	0.00	0.00
combined/test:adaptive_timestepping.test_function_change	4.10	6.18	+50.98%	0.00	0.00
solid_mechanics/test:combined_creep_plasticity.stress_prescribed	4.18	6.28	+50.16%	0.00	0.00