{"paper":{"title":"Generalizable turbulence closures across bluff-body shapes by PINN-based solver-agnostic training","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"George Em Karniadakis, Louise Ronglan, Michael S. Triantafyllou, Theo K\\\"aufer, Zhen Zhang","submitted_at":"2026-07-05T20:31:44Z","abstract_excerpt":"Data-driven turbulence closures are usually calibrated by inverse methods that place a CFD solver inside the optimization loop, tying the learned model to a particular discretization and requiring every intermediate iterate to converge. We instead train closures inside a physics-informed neural network (PINN): the RANS residual is imposed by automatic differentiation, making the inverse problem mesh-free, differentiable, and solver-agnostic. Because no forward solve runs during training, only the final closure must be solver-stable, arbitrary neural closures are admitted without deriving adjoi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.04491","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/2607.04491/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"}