{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IFA73GBDBRD4PLET7G4CWSTWID","short_pith_number":"pith:IFA73GBD","schema_version":"1.0","canonical_sha256":"4141fd98230c47c7ac93f9b82b4a7640e8a1155e39e7126df9fe49489a6bf309","source":{"kind":"arxiv","id":"1805.10519","version":1},"attestation_state":"computed","paper":{"title":"On the role of numerical dissipation in stabilising under-resolved turbulent simulations using discontinuous Galerkin methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Esteban Ferrer, Eusebio Valero, Gonzalo Rubio, Juan Manzanero","submitted_at":"2018-05-26T18:52:30Z","abstract_excerpt":"We analyse numerical errors (dissipation and dispersion) introduced by the discretisation of inviscid and viscous terms in energy stable discontinuous Galerkin methods. First, we analyse these methods using a linear von Neumann analysis (for a linear advection-diffusion equation) to characterise their properties in wave-number space. Second, we validate these observations using the 3D Taylor-Green Vortex Navier-Stokes problem to assess transitional/turbulent flows. We show that the dissipation introduced by upwind Riemann solvers affects primarily high wave-numbers. This dissipation may be inc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1805.10519","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-26T18:52:30Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"eb5def8543fd1b469c70062a8afd07fe2b0871030c6561d0839662564c7a3f0d","abstract_canon_sha256":"52cf01b636f1228bd64b694b28693b3f4b68c52fa60610522f3822510e9e7b85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:52.282025Z","signature_b64":"u8vQ7+q7SUaEMpvkV1x7LMqNcHJK0bQPFQGNqLU9Wb7kRM/ZehCyIcDoIkIKOw2emMSzQ/skjmT5uw6GvmFXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4141fd98230c47c7ac93f9b82b4a7640e8a1155e39e7126df9fe49489a6bf309","last_reissued_at":"2026-05-18T00:14:52.281268Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:52.281268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the role of numerical dissipation in stabilising under-resolved turbulent simulations using discontinuous Galerkin methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Esteban Ferrer, Eusebio Valero, Gonzalo Rubio, Juan Manzanero","submitted_at":"2018-05-26T18:52:30Z","abstract_excerpt":"We analyse numerical errors (dissipation and dispersion) introduced by the discretisation of inviscid and viscous terms in energy stable discontinuous Galerkin methods. First, we analyse these methods using a linear von Neumann analysis (for a linear advection-diffusion equation) to characterise their properties in wave-number space. Second, we validate these observations using the 3D Taylor-Green Vortex Navier-Stokes problem to assess transitional/turbulent flows. We show that the dissipation introduced by upwind Riemann solvers affects primarily high wave-numbers. This dissipation may be inc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10519","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.10519","created_at":"2026-05-18T00:14:52.281386+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.10519v1","created_at":"2026-05-18T00:14:52.281386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10519","created_at":"2026-05-18T00:14:52.281386+00:00"},{"alias_kind":"pith_short_12","alias_value":"IFA73GBDBRD4","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"IFA73GBDBRD4PLET","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"IFA73GBD","created_at":"2026-05-18T12:32:28.185984+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID","json":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID.json","graph_json":"https://pith.science/api/pith-number/IFA73GBDBRD4PLET7G4CWSTWID/graph.json","events_json":"https://pith.science/api/pith-number/IFA73GBDBRD4PLET7G4CWSTWID/events.json","paper":"https://pith.science/paper/IFA73GBD"},"agent_actions":{"view_html":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID","download_json":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID.json","view_paper":"https://pith.science/paper/IFA73GBD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.10519&json=true","fetch_graph":"https://pith.science/api/pith-number/IFA73GBDBRD4PLET7G4CWSTWID/graph.json","fetch_events":"https://pith.science/api/pith-number/IFA73GBDBRD4PLET7G4CWSTWID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID/action/storage_attestation","attest_author":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID/action/author_attestation","sign_citation":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID/action/citation_signature","submit_replication":"https://pith.science/pith/IFA73GBDBRD4PLET7G4CWSTWID/action/replication_record"}},"created_at":"2026-05-18T00:14:52.281386+00:00","updated_at":"2026-05-18T00:14:52.281386+00:00"}