4.2. pde.grids package

Grids define the domains on which PDEs will be solved. In particular, symmetries, periodicities, and the discretizations are defined by the underlying grid.

We only consider regular, orthogonal grids, which are constructed from orthogonal coordinate systems with equidistant discretizations along each axis. The dimension of the space that the grid describes is given by the attribute dim. Points given in these coordinates can be mapped to coordinates in Cartesian space using the methods point_to_cartesian() and its inverse. Moreover, points can be mapped to cell indices using the methods point_to_cell().

UnitGrid	d-dimensional Cartesian grid with unit discretization in all directions
CartesianGrid	d-dimensional Cartesian grid with uniform discretization for each axis
PolarSymGrid	2-dimensional polar grid assuming angular symmetry
SphericalSymGrid	3-dimensional spherical grid assuming spherical symmetry
CylindricalSymGrid	3-dimensional cylindrical grid assuming polar symmetry

Inheritance structure of the classes:

Subpackages:

• 4.2.1. pde.grids.boundaries package
  • 4.2.1.1. Boundary conditions
  • 4.2.1.2. Boundaries overview
  • 4.2.1.3. pde.grids.boundaries.axes module
  • 4.2.1.4. pde.grids.boundaries.axis module
  • 4.2.1.5. pde.grids.boundaries.local module
• 4.2.2. pde.grids.operators package
  • 4.2.2.1. pde.grids.operators.cartesian module
  • 4.2.2.2. pde.grids.operators.common module
  • 4.2.2.3. pde.grids.operators.cylindrical_sym module
  • 4.2.2.4. pde.grids.operators.polar_sym module
  • 4.2.2.5. pde.grids.operators.spherical_sym module

• 4.2.3. pde.grids.base module
• 4.2.4. pde.grids.cartesian module
• 4.2.5. pde.grids.cylindrical module
• 4.2.6. pde.grids.spherical module