{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:J5Y337ZTF4NCSFXNL5L5KTFVFE","short_pith_number":"pith:J5Y337ZT","schema_version":"1.0","canonical_sha256":"4f71bdff332f1a2916ed5f57d54cb5290b8f96c6398b985b5770c2f8faad80e1","source":{"kind":"arxiv","id":"1711.10180","version":2},"attestation_state":"computed","paper":{"title":"A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrew R. Winters, Gianmarco Mengaldo, Gregor J. Gassner, Joaquim Peiro, Rodrigo C. Moura, Spencer J. Sherwin, Stefanie Walch","submitted_at":"2017-11-28T08:53:01Z","abstract_excerpt":"This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) methods for under-resolved turbulence computations. In particular we consider the inviscid Taylor-Green vortex (TGV) flow to analyse the implicit large eddy simulation (iLES) capabilities of DG methods at very high Reynolds numbers. The governing equations are discretised in two ways in order to suppress aliasing errors introduced into the discrete variational forms due to the under-integration of non-linear terms. The first, more straightforward way relies on consistent/over-integration, where quad"},"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":"1711.10180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T08:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"b303a42049ff2dba76ed92ee11d69066143d02d2125de100cd82948b68fde26c","abstract_canon_sha256":"64920bffe538df31f7ce2132caed26152301dfaf23b6f7dd0d778aeecfd71728"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:19.178186Z","signature_b64":"ZbidHCxfhVt1VLnreuBg9OpJ5+fU2IyjBLYiao4pcAx93Z9nTE0T+S58o4DTrXojwlEmZ0OVfUlHJijxynUrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f71bdff332f1a2916ed5f57d54cb5290b8f96c6398b985b5770c2f8faad80e1","last_reissued_at":"2026-05-18T00:09:19.177638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:19.177638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrew R. Winters, Gianmarco Mengaldo, Gregor J. Gassner, Joaquim Peiro, Rodrigo C. Moura, Spencer J. Sherwin, Stefanie Walch","submitted_at":"2017-11-28T08:53:01Z","abstract_excerpt":"This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) methods for under-resolved turbulence computations. In particular we consider the inviscid Taylor-Green vortex (TGV) flow to analyse the implicit large eddy simulation (iLES) capabilities of DG methods at very high Reynolds numbers. The governing equations are discretised in two ways in order to suppress aliasing errors introduced into the discrete variational forms due to the under-integration of non-linear terms. The first, more straightforward way relies on consistent/over-integration, where quad"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10180","kind":"arxiv","version":2},"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":"1711.10180","created_at":"2026-05-18T00:09:19.177731+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.10180v2","created_at":"2026-05-18T00:09:19.177731+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10180","created_at":"2026-05-18T00:09:19.177731+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5Y337ZTF4NC","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5Y337ZTF4NCSFXN","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5Y337ZT","created_at":"2026-05-18T12:31:21.493067+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/J5Y337ZTF4NCSFXNL5L5KTFVFE","json":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE.json","graph_json":"https://pith.science/api/pith-number/J5Y337ZTF4NCSFXNL5L5KTFVFE/graph.json","events_json":"https://pith.science/api/pith-number/J5Y337ZTF4NCSFXNL5L5KTFVFE/events.json","paper":"https://pith.science/paper/J5Y337ZT"},"agent_actions":{"view_html":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE","download_json":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE.json","view_paper":"https://pith.science/paper/J5Y337ZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.10180&json=true","fetch_graph":"https://pith.science/api/pith-number/J5Y337ZTF4NCSFXNL5L5KTFVFE/graph.json","fetch_events":"https://pith.science/api/pith-number/J5Y337ZTF4NCSFXNL5L5KTFVFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE/action/storage_attestation","attest_author":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE/action/author_attestation","sign_citation":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE/action/citation_signature","submit_replication":"https://pith.science/pith/J5Y337ZTF4NCSFXNL5L5KTFVFE/action/replication_record"}},"created_at":"2026-05-18T00:09:19.177731+00:00","updated_at":"2026-05-18T00:09:19.177731+00:00"}