atl_nernstPlanck_type Derived Type

type, public :: atl_nernstPlanck_type

Datatype for Nernst-Planck equations.

This datatype describes the time dependent Nernst-Planck equations of the following form (where $D$ is the diffusivity):

Concentration: $\partial_t u = \sqrt{(D)} \nabla \times \rho$

Diffusive flux: $\rho = \sqrt{(D)} \nabla \times u$

The diffusivity is assumed constant. $u\in\mathbb{R}$ is the concentration and $\rho\in\mathbb{R}^3$ is the diffusive flux vector field.