4.1.5.1.5 pde.backends.scipy.operators.spherical_sym module

This module implements differential operators on spherical grids.

make_poisson_solver

Make a operator that solves Poisson's equation.

make_poisson_solver(bcs, *, method='auto')

Make a operator that solves Poisson’s equation.

The polar grid assumes polar symmetry, so that fields only depend on the radial coordinate r. The radial discretization is defined as \(r_i = r_\mathrm{min} + (i + \frac12) \Delta r\) for \(i=0, \ldots, N_r-1\), where \(r_\mathrm{min}\) is the radius of the inner boundary, which is zero by default. Note that the radius of the outer boundary is given by \(r_\mathrm{max} = r_\mathrm{min} + N_r \Delta r\).

Parameters:

• bcs (BoundariesList) – Specifies the boundary conditions applied to the field. This must be an instance of BoundariesList, which can be created from various data formats using the class method from_data().

• method (str) – The chosen method for implementing the operator

Returns:

A function that can be applied to an array of values

Return type:

OperatorImplType