Tools for working with spatial fields discretized on or immersed in Cartesian grids

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The purpose of this package is to enable easy setup of and operations on spatial fields on 2-d staggered Cartesian grids. Tools are provided for

• Constructing field data that lie in the different finite-dimensional spaces of the grid: the centers, corners, and edges of the cells
• Performing discretely-mimetic differential calculus operations on these data, such as div, grad, curl, etc. These operations are carried out in a manner that transforms them between the spaces.
• Solving Poisson's equation on infinite grids using the lattice Green's function
• Immersing data on co-dimension one and two entities (points, curves) into the grid
• Performing operations on these co-dimension data.

Documentation can be found at https://JuliaIBPM.github.io/CartesianGrids.jl/latest.

CartesianGrids.jl is registered in the general Julia registry. To install, enter the package manager by typing

] add CartesianGrids

Then, in any version, type

julia> using CartesianGrids

For examples, consult the documentation or see the example Jupyter notebooks in the Examples folder.