{"paper":{"title":"Automated Derivation of Lattice Boltzmann Schemes for Systems of Conservation Laws","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cs.MS","authors_text":"Adrian Kummerl\\\"ander, Fedor Bukreev, Mathias J. Krause","submitted_at":"2026-07-06T22:17:42Z","abstract_excerpt":"The simulation of multiphysics phenomena with Lattice Boltzmann Methods (LBM) traditionally requires a specialized scheme hand-derived for each targeted Partial Differential Equation (PDE), making the retargeting of physical models a labor-intensive bottleneck. To resolve this, we recognize the flux-in-first-moment construction of a recently proposed class of LBM schemes as a discrete-kinetic relaxation approximation of conservation laws, and generalize their case-by-case, hand-derived construction into a single automated derivation for conservation-form systems of hyperbolic, parabolic, and m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05668","kind":"arxiv","version":1},"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/2607.05668/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"}