{"paper":{"title":"Stability of a bidimensional relative velocity lattice Boltzmann scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Benjamin Graille (LM-Orsay), Fran\\c{c}ois Dubois (LMSSC), Tony F\\'evrier (LM-Orsay)","submitted_at":"2015-06-08T07:30:02Z","abstract_excerpt":"In this contribution, we study the theoretical and numerical stability of a bidimensional relative velocity lattice Boltzmann scheme. These relative velocity schemes introduce a velocity field parameter called \"relative velocity\" function of space and time. They generalize the d'Humi\\`eres multiple relaxation times scheme and the cascaded automaton. This contribution studies the stability of a four velocities scheme applied to a single linear advection equation according to the value of this relative velocity. We especially compare when it is equal to 0 (multiple relaxation times scheme) or to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02381","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":""},"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"}