Enhance ROM Utilities: Introduce FindNearestNeighbors Utility for ROMs.

[SADPR]

PR Description

This PR introduces a new utility function, FindNearestNeighbors, to the RomAuxiliaryUtilities within Kratos Rom Application. This function is essential for cosimulation scenarios where information needs to be accurately passed between interfaces of different model parts.

Details

• Functionality: FindNearestNeighbors efficiently finds the closest node in the master node set for each node in a given list. It employs a spatial binning technique to expedite the search process, ensuring performance even with large node sets.
• Use Case: Particularly useful in cosimulation environments where matching nodes across interfaces is crucial for accurate data transfer and interaction between different physical models.

Implementation

• The utility function uses an unordered_set to store the IDs of the nearest nodes, guaranteeing that each ID is unique and preventing any duplication.

[SADPR]

I am waiting for the PR #12274 to be merge to test this one with the final motor's HROM.

[roigcarlo]

mpBins appears to be used only in the new FindNearestNeighbors function and its regenerated every time the function is called.

If this is the case please just remove the variable and declare it inside the function.

If you intend the utility to be reusable (calculate the bins once) then please move the initialization of the member variable to a separate function and then use the pointer.