2006/04/26 by M. Mendoza, J. D. Munoz, J. D. Muñoz · 1 citation
Engineering · Physics and Astronomy · #Aerosol Filtration and Electrostatic Precipitation #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #physics.comp-ph #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.77.026713
published as Phys. Rev. E 77, 026713 (2008) · Submitted to PRE, Computational Physics. 11 pages and 9 figures
arxiv created 2006/04/26 · openalex publication_date 2008/02/29 · arxiv updated 2010/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a three-dimensional (3D) lattice Boltzmann model that recovers in the continuous limit the two-fluids theory for plasmas, and consequently includes the generalized Ohm's law. The model reproduces the magnetic reconnection process just by giving the right initial equilibrium conditions in the magnetotail, without any assumption on the resistivity in the diffusive region. In this model, the plasma is handled similar to two fluids with an interaction term, each one with distribution functions associated to a cubic lattice with 19 velocities (D3Q19). The electromagnetic fields are considered as a third fluid with an external force on a cubic lattice with 13 velocities (D3Q13). The model can simulate either viscous fluids in the incompressible limit or nonviscous compressible fluids, and successfully reproduces both the Hartmann flow and the magnetic reconnection in the magnetotail. The reconnection rate in the magnetotail obtained with this model lies between R=0.062 and R=0.073, in good agreement with the observations.