Electromagnetic waves in lattice Boltzmann magnetohydrodynamics
OCIAM, Mathematical Institute - 24–29 St Giles', Oxford, OX1 3LB, UK, EU
Corresponding author: email@example.com
Accepted: 26 May 2010
An existing lattice Boltzmann formulation of non-relativistic magnetohydrodynamics represents the magnetic field using a set of vector-valued distribution functions. By expressing the behaviour of this system using a basis of moments of the distribution functions, we derive an evolution equation for the electric field that coincides with the combination of Maxwell's equation, including the displacement current, and Ohm's law. Numerical experiments verify the propagation of electromagnetic waves radiated from an oscillating dipolar current.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 41.20.Jb – Electromagnetic wave propagation; radiowave propagation / 47.11.-j – Computational methods in fluid dynamics
© EPLA, 2010