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Related Experiment Videos

Two-dimensional lattice Boltzmann model for magnetohydrodynamics.

Werner Schaffenberger1, Arnold Hanslmeier

  • 1Institute for Geophysics, Astrophysics, and Meterology, Universitätsplatz 5, A-8010 Graz, Austria.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 2002
PubMed
Summary

We developed a new 17-velocity lattice Boltzmann model for simulating 2D magnetohydrodynamic (MHD) flows. This model uses a standard streaming rule and a matrix collision operator for independent control of viscosity and resistivity, improving upon previous methods.

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Area of Science:

  • Computational Fluid Dynamics
  • Plasma Physics
  • Numerical Methods

Background:

  • Magnetohydrodynamics (MHD) describes fluid behavior in the presence of magnetic fields.
  • Lattice Boltzmann methods (LBM) are effective for simulating fluid dynamics.
  • Existing 2D MHD LBM models often employ complex bidirectional streaming rules.

Purpose of the Study:

  • To introduce a novel 17-velocity lattice Boltzmann model for 2D MHD simulations.
  • To simplify the streaming rule compared to previous models.
  • To enable independent control over viscosity and resistivity.

Main Methods:

  • Extension of a 9-velocity hydrodynamic LBM to 17 velocities on a square lattice.
  • Implementation of a standard streaming rule, avoiding bidirectional streaming.

Related Experiment Videos

  • Utilization of a matrix collision operator for viscosity and resistivity control.

    • Main Results:

    • The model successfully simulates two-dimensional magnetohydrodynamic flows.
    • Application to Hartmann flow yields reasonable and expected results.
    • The new model allows for independent tuning of viscosity and resistivity.

    Conclusions:

    • The presented 17-velocity LBM offers an efficient and flexible approach for 2D MHD simulations.
    • The simplified streaming rule enhances model applicability and potentially reduces computational cost.
    • The independent control of transport coefficients is a significant advantage for various MHD problems.