{"paper":{"title":"Pressure-equilibrium-preserving and fully conservative discretization of compressible flow equations for real and thermally perfect gases","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A discretization for compressible flows preserves mass, momentum and total energy conservation while exactly enforcing pressure equilibrium for arbitrary equations of state.","cross_cats":["cs.NA","math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"Alessandro Aiello, Carlo De Michele, Gennaro Coppola","submitted_at":"2026-05-05T10:43:18Z","abstract_excerpt":"Numerical simulations of compressible real-fluid flows are notoriously plagued by spurious pressure oscillations arising in regions of abrupt flow variations. As a possible remedy, several numerical formulations enforce the pressure equilibrium condition for the compressible Euler equations, typically at the cost of spoiling the correct conservation of total energy or by overspecifying the thermodynamical variables. This study proposes for the first time a numerical discretization procedure which is able to discretely preserve the full conservation of the linear invariants (mass, momentum and "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This study proposes for the first time a numerical discretization procedure which is able to discretely preserve the full conservation of the linear invariants (mass, momentum and total energy) and to exactly enforce the pressure equilibrium condition.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That nonlinear numerical fluxes for mass and internal energy can be defined depending on the details of an arbitrary equation of state such that both full conservation of linear invariants and exact discrete pressure equilibrium are satisfied simultaneously without introducing inconsistencies or instability.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A discretization scheme for the compressible Euler equations that fully conserves linear invariants and exactly preserves pressure equilibrium via EOS-dependent nonlinear fluxes for mass and internal energy.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A discretization for compressible flows preserves mass, momentum and total energy conservation while exactly enforcing pressure equilibrium for arbitrary equations of state.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bbe84f2f5bd15d87611df195e06f43b7f72c023b1e9294421599d8b69eed910a"},"source":{"id":"2605.03617","kind":"arxiv","version":2},"verdict":{"id":"f2f984b4-c297-47c4-8915-335450a5e264","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T14:14:43.669915Z","strongest_claim":"This study proposes for the first time a numerical discretization procedure which is able to discretely preserve the full conservation of the linear invariants (mass, momentum and total energy) and to exactly enforce the pressure equilibrium condition.","one_line_summary":"A discretization scheme for the compressible Euler equations that fully conserves linear invariants and exactly preserves pressure equilibrium via EOS-dependent nonlinear fluxes for mass and internal energy.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That nonlinear numerical fluxes for mass and internal energy can be defined depending on the details of an arbitrary equation of state such that both full conservation of linear invariants and exact discrete pressure equilibrium are satisfied simultaneously without introducing inconsistencies or instability.","pith_extraction_headline":"A discretization for compressible flows preserves mass, momentum and total energy conservation while exactly enforcing pressure equilibrium for arbitrary equations of state."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.03617/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T13:37:34.228524Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-20T00:31:21.912080Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T15:12:06.139760Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"87f68918626275cd9b20317f842977e301fffa5befb489cc38d25136868e5edb"},"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"}