This is just the beginning of the work... I will continue once we will be agree with the way to do it.
My notebook to test it is here :
https://github.com/rochSmets/farJunk/blob/main/nb/ohm.ipynb

Summary by CodeRabbit

• New Features

  • Introduced advanced mathematical operations for vector and scalar fields, including dot product, cross product, square root, gradient, and modulus calculations.
  • Added new methods and functions for handling hierarchical data structures, including renaming, arithmetic operations, and domain slicing.

• Enhancements

  • Updated PatchHierarchy class with new methods for mapping quantities to spatial directions and retrieving patch data names.
  • Improved field computation methods to handle additional parameters and new arithmetic operations.