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Ki, Hyungson
Laser Processing & Multiphysics Systems Laboratory
Research Interests
  • Laser materials processing

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Simulation of MHD flows using a hybrid lattice-Boltzmann finite-difference method

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Title
Simulation of MHD flows using a hybrid lattice-Boltzmann finite-difference method
Author
Li, HuayuKi, Hyungson
Keywords
Finite difference method;  Hybrid;  Lattice Boltzmann method;  LBM;  Magnetohydro dynamic;  MHD
Issue Date
200808
Publisher
GLOBAL SCIENCE PRESS
Citation
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, v.4, no.2, pp.337 - 349
Abstract
A hybrid lattice-Boltzmann finite-difference method is presented to simulate incompressible, resistive magnetohydrodynamic (MHD) flows. The lattice Boltzmann equation (LBE) with the Lorentz force term is solved to update the flow field while the magnetic induction equation is solved using the finite difference method to calculate the magnetic field. This approach is methodologically intuitive because the governing equations for MHD are solved in their respective original forms. In addition, the extension to 3-D is straightforward. For validation purposes, this approach was applied to simulate the Hartmann flow, the Orszag-Tang vortex system (2-D and 3-D) and the magnetic reconnection driven by doubly periodic coalescence instability. The obtained results agree well with analytical solutions and simulation results available in the literature.
URI
http://scholarworks.unist.ac.kr/handle/201301/6460
ISSN
1815-2406
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MNE_Journal Papers
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