{"paper":{"title":"A bound-preserving oscillation-eliminating discontinuous Galerkin scheme for compressible two-phase flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","cross_cats":["cs.NA","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"A-Man Zhang, Fan Zhang, Jia-Jun Zou, Qi Kong, Yu-Chang Liu, Yun-Long Liu","submitted_at":"2026-04-28T14:04:37Z","abstract_excerpt":"This paper presents a high-order bound-preserving oscillation-eliminating discontinuous Galerkin (BP-OEDG) scheme for simulating gas-gas and gas-liquid two-phase flows governed by the Kapila five-equation model with the Tammann equation of state (EOS). The primary computational bottleneck arises from the severe CFL restriction imposed by the stiff $\\kappa$-source term in the volume fraction equation. To circumvent this, we propose a novel operator-splitting strategy that decouples the system into a transport model and a stiff $\\kappa$-source term. The former is discretized via a quasi-conserva"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"eeef44f3aac98ebce099147c838a0995a0e39f51dfa543c8d61ab78422526807"},"source":{"id":"2604.25672","kind":"arxiv","version":2},"verdict":{"id":"fb4b484d-3152-43e6-ba2f-c06759c08905","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T15:16:23.514019Z","strongest_claim":"We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.","one_line_summary":"A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy.","pith_extraction_headline":"Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.25672/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T04:35:44.826826Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:52:51.324228Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7cfa2aec7711c4eb356724778bbb7e578f4263a8ae3773f6d636cb75f3c2f522"},"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"}