{"paper":{"title":"Numerical viscosity and resistivity in MHD turbulence simulations","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["astro-ph.GA","astro-ph.HE","astro-ph.IM","physics.flu-dyn","physics.plasm-ph"],"primary_cat":"astro-ph.SR","authors_text":"Christoph Federrath, Lakshmi Malvadi Shivakumar","submitted_at":"2023-11-17T06:39:16Z","abstract_excerpt":"Accurate magnetohydrodynamical (MHD) turbulence simulations require understanding numerical dissipation. We quantify numerical viscosity and resistivity in subsonic (M=0.1) and supersonic (M=10) turbulence regimes. The hydrodynamic (Re) and magnetic Reynolds numbers (Rm) on the turbulence driving scale l_turb in a cubic domain of side length L with N^3 resolution elements are well-described by Re=[2(N/N_Re)(l_turb/L)]^p_Re and Rm=[2(N/N_Rm)(l_turb/L)]^p_Rm. We provide two sets of fit values of (N_Re,p_Re,N_Rm,p_Rm): one with p_Re & p_Rm fixed at their theoretical values, and the other one allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.10350","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.10350/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}