{"public_id":"cl_4cf40f671e28c601ba04c8dc44206350","status":"active","superseded_by_public_id":null,"corpus_id":122999502,"text":"A weak Lagrange–Galerkin finite element method is presented for the 2D shallow water equations on the sphere.","confidence":0.99,"paper":{"corpus_id":122999502,"title":"Lagrange—Galerkin methods on spherical geodesic grids: the shallow water equations","url":"https://sah.borca.ai/papers/122999502"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.99,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_52013bbf31279ea464455cb975a9f847","name":"2D shallow water equations","description":"The two-dimensional fluid-dynamics equations used to model shallow free-surface flow.","types":["equation system"],"url":"https://sah.borca.ai/concepts/co_52013bbf31279ea464455cb975a9f847"},{"public_id":"co_7040c219015a4174f29243707773f06b","name":"weak Lagrange–Galerkin finite element method","description":"A finite element discretization that traces solution values along characteristics in a weak formulation.","types":["method"],"url":"https://sah.borca.ai/concepts/co_7040c219015a4174f29243707773f06b"},{"public_id":"co_7990799ee341eb8b3449cfe925bd0dfb","name":"sphere","description":"The spherical geometric domain on which the shallow water equations are discretized.","types":["domain"],"url":"https://sah.borca.ai/concepts/co_7990799ee341eb8b3449cfe925bd0dfb"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_4cf40f671e28c601ba04c8dc44206350"}