A 9-bit multiple relaxation Lattice Boltzmann magnetohydrodynamic algorithm for 2D turbulence. (July 2016)

• Record Type: Journal Article
• Authors: Flint, Christopher; Vahala, George; Vahala, Linda; Soe, Min
• Is Part Of: Computers & mathematics with applications. Volume 72:issue 2(2016)
• Page Start: 394
• Page End: 403
• Publication Date: 2016-07
• Subjects: Lattice Boltzmann -- MHD -- 2D turbulence -- Single and multiple relaxation; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2015.09.008
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: While a minimalist representation of 2D Magnetohydrodynamics (MHD) on a square lattice is a 9-bit scalar and 5-bit vector distribution functions, here we examine the effect of using the 9-bit vector distribution function on the effect of a magnetic field on the Kelvin–Helmholtz instability. While there is little difference in the simulation results between the 5-bit and the 9-bit vector distribution models in the vorticity, energy spectra, etc., the 9-bit model permits simulations with mean magnetic field a factor of approximately 2 greater than those attainable in the standard 5-bit model. Indeed a 9-bit single-relaxation model can attain such success over a 5-bit multiple-relaxation model at the same computational expense.