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Volume 4, Issue 2
Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method

Huayu Li & Hyungson Ki

Commun. Comput. Phys., 4 (2008), pp. 337-349.

Published online: 2008-04

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  • 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.

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@Article{CiCP-4-337, author = {Huayu Li and Hyungson Ki}, title = {Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method}, journal = {Communications in Computational Physics}, year = {2008}, volume = {4}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7793.html} }
TY - JOUR T1 - Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method AU - Huayu Li & Hyungson Ki JO - Communications in Computational Physics VL - 2 SP - 337 EP - 349 PY - 2008 DA - 2008/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7793.html KW - AB -

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.

Huayu Li and Hyungson Ki. (2008). Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method. Communications in Computational Physics. 4 (2). 337-349. doi:
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