title: Lattice kinetic simulation of nonisothermal magnetohydrodynamics.
abstract: In this paper, a lattice kinetic algorithm is presented to simulate nonisothermal magnetohydrodynamics in the low-Mach number incompressible limit. The flow and thermal fields are described by two separate distribution functions through respective scalar kinetic equations and the magnetic field is governed by a vector distribution function through a vector kinetic equation. The distribution functions are only coupled via the macroscopic density, momentum, magnetic field, and temperature computed at the lattice points. The novelty of the work is the computation of the thermal field in conjunction with the hydromagnetic fields in the lattice Boltzmann framework. A 9-bit two-dimensional (2D) lattice scheme is used for the numerical computation of the hydrodynamic and thermal fields, whereas the magnetic field is simulated in a 5-bit 2D lattice. Simulation of Hartmann flow in a channel provides excellent agreement with corresponding analytical results.
authors.affiliation: Simulation & Modeling Laboratory, Central Mechanical Engineering Research Institute (Council of Scientific & Industrial Research), Durgapur-713209, India. d_chatterjee@cmeri.res.in
authors.forename: Dipankar
authors.initials: D
authors.lastname: Chatterjee
authors.forename: Sakir
authors.initials: S
authors.lastname: Amiroudine