{"id":"W2015720255","doi":"10.1002/fld.661","title":"Finite element solution of the Orr–Sommerfeld equation using high precision Hermite elements: plane Poiseuille flow","year":2004,"lang":"en","type":"article","venue":"International Journal for Numerical Methods in Fluids","topic":"Fluid Dynamics and Turbulent Flows","field":"Engineering","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"National Research Council Canada","funders":"","keywords":"Hagen–Poiseuille equation; Laminar flow; Reynolds number; Finite element method; Perturbation (astronomy); Mathematics; Mechanics; Hydrodynamic stability; Plane (geometry); Numerical analysis; Mathematical analysis; Flow (mathematics); Physics; Geometry; Turbulence","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006041243,0.0003089207,0.0004671657,0.0002464759,0.0002118989,0.000673994,0.0003852702,0.0008032285,0.0008378146],"category_scores_gemma":[0.001137667,0.0002096553,0.0003712277,0.00030996,0.0006334427,0.0004601067,0.0005313855,0.0005656659,0.0003855979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002632313,"about_ca_system_score_gemma":0.0004475419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001258862,"about_ca_topic_score_gemma":0.001032488,"domain_scores_codex":[0.9997754,0.00007295186,0.00001382359,0.00002316115,0.0001002962,0.00001438226],"domain_scores_gemma":[0.9996847,0.0001657269,0.0000457527,0.00004140052,0.00005263678,0.000009802175],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006977166,0.00005531692,0.0007020083,0.00006738013,0.00001693179,0.0001148367,0.0001455675,0.9068632,0.03893266,0.02646395,0.0003103742,0.02625796],"study_design_scores_gemma":[0.000006597743,0.0000265137,0.0001071516,0.000005392085,0.000003252924,0.00003433482,0.0000128415,0.9912293,0.006144824,0.001318995,0.001104504,0.000006329467],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06980337,0.0001756075,0.9237556,0.0001088572,0.00002777346,0.00004676001,0.00005222176,0.000178904,0.005850987],"genre_scores_gemma":[0.5156434,0.0004827389,0.4752906,0.00005640853,0.00003016655,0.0001394015,0.0001415986,0.00008966046,0.008126095],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001258862,"threshold_uncertainty_score":0.003194928,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03505485016711993,"score_gpt":0.3447439012094026,"score_spread":0.3096890510422827,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}