PMID: 15244660Jul 13, 2004Paper

Lattice kinetic simulations in three-dimensional magnetohydrodynamics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G Breyiannis, D Valougeorgis

Abstract

A lattice kinetic algorithm to simulate three-dimensional (3D) incompressible magnetohydrodynamics is presented. The fluid is monitored by a distribution function, which obeys a scalar kinetic equation, subject to an external force due to the imposed magnetic field. Following the work of J. Comput. Phys. 179, 95 (2002)], the magnetic field is represented by a different three-component vector distribution function, which obeys a corresponding vector kinetic equation. Discretization of the 3D phase space is based on a 19-bit scheme for the hydrodynamic part and on a 7-bit scheme for the magnetic part. Numerical results for magnetohydrodynamic (MHD) flow in a rectangular duct with insulating and conducting walls provide excellent agreement with corresponding analytical solutions. The scheme maintains in all cases tested the MHD constraint inverted Delta.B=0 within machine round-off error.

References

Dec 30, 1991·Physical Review Letters·S ChenW Matthaeus
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L S Luo

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Citations

Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Mendoza, J D Muñoz
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dipankar Chatterjee, Sakir Amiroudine
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F MohseniH J Herrmann

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