{"id":"W3203398366","doi":"10.2478/mjpaa-2022-0009","title":"Entropy Stable Discontinuous Galerkin Finite Element Method with Multi-Dimensional Slope Limitation for Euler Equations","year":2021,"lang":"en","type":"article","venue":"Moroccan Journal of Pure and Applied Analysis","topic":"Computational Fluid Dynamics and Aerodynamics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"École de Technologie Supérieure; McGill University","funders":"McGill University","keywords":"Discontinuous Galerkin method; Conservation law; Mathematics; Classification of discontinuities; Finite element method; Flux limiter; Euler equations; Entropy (arrow of time); Roe solver; Applied mathematics; Riemann solver; Solver; Polygon mesh; Mathematical analysis; Finite volume method; Mathematical optimization; Geometry; Riemann problem; Physics; Mechanics; Riemann hypothesis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006307386,0.0004137067,0.0005034963,0.0003621389,0.0003057635,0.0004288312,0.0007690339,0.0006375967,0.0009841068],"category_scores_gemma":[0.001145657,0.0002192517,0.0004168432,0.0002428859,0.0006514157,0.0003967947,0.0006901192,0.0005901629,0.0002281683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003633127,"about_ca_system_score_gemma":0.0005395992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002108937,"about_ca_topic_score_gemma":0.00152321,"domain_scores_codex":[0.9997701,0.0001087069,0.000008962713,0.00001353892,0.00008281399,0.00001594123],"domain_scores_gemma":[0.9996389,0.0001900207,0.00003777009,0.00004364026,0.00006794577,0.0000216818],"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":[0.000131223,0.00007096069,0.002083294,0.0001008603,0.00002175606,0.0001486883,0.0001679607,0.9289153,0.02082988,0.02047162,0.000292478,0.02676594],"study_design_scores_gemma":[0.000004600928,0.00001469507,0.00008229892,0.000002607875,9.62885e-7,0.000007207162,0.000003001442,0.9982247,0.0008504123,0.0005663671,0.0002410621,0.000002090195],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09566521,0.0001933292,0.9011779,0.0001318633,0.00004321161,0.00005856088,0.00005077761,0.0001958644,0.002483258],"genre_scores_gemma":[0.8074151,0.0001276578,0.1893692,0.00005659422,0.00002854573,0.0001784559,0.00007389526,0.0001068331,0.002643704],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002108937,"threshold_uncertainty_score":0.004193306,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01096587839815233,"score_gpt":0.2355571669193628,"score_spread":0.2245912885212105,"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."}}