{
  "abstract": "Compressible, magnetised plasma flows pervade astrophysics, from stellar winds to planetary magnetospheres and the interstellar medium. Their high-fidelity simulation at scale is limited by the non-local operations that conventional solvers require for flux reconstruction, gradient and stress evaluation, and magnetic-divergence control, which bottleneck communication on heterogeneous supercomputers. We present a novel class of fully local Lattice Boltzmann Method (LBM) schemes for compressible magnetohydrodynamics (MHD) in which all nonlinear operations are point-wise. The approach exploits the kinetic structure to transport each state variable of the Strang-split conservation laws alongside its characteristics, recovering the compressible macroscopic fluxes, gradients, and viscous stresses through local relaxation rather than finite-difference stencils. Divergence control enters as a local source term within the same kinetic update, with no separate global solve. The formulation is partial-differential-equation agnostic and encompasses hydrodynamic limits such as the compressible Euler and incompressible Navier-Stokes equations. We discretise both ideal compressible and resistive incompressible MHD, and validate the scheme across multiple resolutions against the canonical astrophysical MHD test suite: the Brio-Wu shock tube resolves compound waves and slow-fast shocks, the MHD rotor captures strong torsional Alfvén waves, and the Orszag-Tang vortex reproduces current-sheet formation and the transition to MHD turbulence. Implemented in the performance-portable framework OpenLB, the scheme reaches up to 98.9 per cent of the hardware roofline on GPU. Finally, as a capability demonstration, we simulate a rotating, surface-resolved magnetised body modelled after 16 Psyche in a supersonic early solar wind, yielding an emergent bow shock, flux-rope magnetosheath, and reconnecting magnetotail.",
  "abstract_shown": true,
  "affiliations": [
    "Lattice Boltzmann Research Group (LBRG) , Straße am Forum 8 / Englerstraße 2, 76131 Karlsruhe ,",
    "Institute of Mechanical Process Engineering and Mechanics (MVM), Karlsruhe Institute of Technology (KIT) , Straße am Forum 8, 76131 Karlsruhe ,",
    "Institute for Applied and Numerical Mathematics (IANM), Karlsruhe Institute of Technology (KIT) , Englerstraße 2, 76131 Karlsruhe ,"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Fedor Bukreev",
      "orcid": "0009-0007-5615-8869"
    },
    {
      "affs": [
        0,
        2
      ],
      "name": "Adrian Kummerländer"
    },
    {
      "affs": [
        0,
        2,
        1
      ],
      "name": "Mathias J Krause"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ak18t1vvp202.bib",
  "cited_by": 0,
  "doi": "10.1093/mnras/stag1979",
  "fulltext_url": null,
  "id": "5ak18t1vvp202",
  "issns": [
    "0035-8711",
    "1365-2966"
  ],
  "landing_url": "https://academic.oup.com/mnras/advance-article/doi/10.1093/mnras/stag1979/8943796",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2206|Lattice Boltzmann Simulation Studies"
    ]
  ],
  "openalex": "W7163181529",
  "pdf_url": "https://academic.oup.com/mnras/advance-article-pdf/doi/10.1093/mnras/stag1979/72116878/stag1979.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "Oxford University Press (OUP)",
  "ris": "https://research.draconitic.com/paper/5ak18t1vvp202.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:17Z",
      "native_id": "10.1093/mnras/stag1979",
      "source": "crossref",
      "url": "https://academic.oup.com/mnras/advance-article/doi/10.1093/mnras/stag1979/8943796"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "journal-openalex:3103|Stellar, planetary, and galactic studies",
      "subfield": "stellar"
    }
  ],
  "title": "Lattice Boltzmann Methods for Compressible Magnetohydrodynamics",
  "title_text": "Lattice Boltzmann Methods for Compressible Magnetohydrodynamics",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:17Z",
  "url": "https://research.draconitic.com/paper/5ak18t1vvp202",
  "venue": "Monthly Notices of the Royal Astronomical Society",
  "versions": [
    {
      "doi": "10.48550/arxiv.2606.00641",
      "pid": "0t0he98c57bw3",
      "relation": "preprint",
      "title": "Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics",
      "venue": "arXiv"
    }
  ]
}