{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:D6ZJ62ESMUCATY4SSLRGUWN6NZ","short_pith_number":"pith:D6ZJ62ES","schema_version":"1.0","canonical_sha256":"1fb29f6892650409e39292e26a59be6e573285683ad327ebe58b305d951f025e","source":{"kind":"arxiv","id":"1210.5741","version":4},"attestation_state":"computed","paper":{"title":"New Approach for Error Reduction in the Volume Penalization Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Nozomu Hatakeyama, Wakana Iwakami, Yuji Hattori, Yuzuru Yatagai","submitted_at":"2012-10-21T17:50:23Z","abstract_excerpt":"A new approach for reducing error of the volume penalization method is proposed. The mask function is modified by shifting the interface between solid and fluid by ({\\nu}{\\eta})^0.5 toward the fluid region, where {\\nu} and {\\eta} are the viscosity and the permeability, respectively. The shift length ({\\nu}{\\eta})^0.5 is derived from the analytical solution of the one-dimensional diffusion equation with a penalization term. The effect of the error reduction is verified numerically for the one-dimensional diffusion equation, Burgers' equation, and the two-dimensional Navier-Stokes equations. The"},"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":"1210.5741","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-10-21T17:50:23Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"0cddea398ac6dfb52cd10ea15f5fc3661440052de4944805cdb6357a270a9772","abstract_canon_sha256":"cdd54f486e984aa8e579e73136c158f5484b8cf94b653e9f86dc2a9213180e21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:37.138636Z","signature_b64":"BMWdbjLO7OtiDB4BoSsHJTpwGzheHkK1BBbHdpWSpOMtRzt1teZcMrsvwiFEgNIjg+EP7vvRB21hZ3cIi4ztDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fb29f6892650409e39292e26a59be6e573285683ad327ebe58b305d951f025e","last_reissued_at":"2026-05-18T02:43:37.137885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:37.137885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New Approach for Error Reduction in the Volume Penalization Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Nozomu Hatakeyama, Wakana Iwakami, Yuji Hattori, Yuzuru Yatagai","submitted_at":"2012-10-21T17:50:23Z","abstract_excerpt":"A new approach for reducing error of the volume penalization method is proposed. The mask function is modified by shifting the interface between solid and fluid by ({\\nu}{\\eta})^0.5 toward the fluid region, where {\\nu} and {\\eta} are the viscosity and the permeability, respectively. The shift length ({\\nu}{\\eta})^0.5 is derived from the analytical solution of the one-dimensional diffusion equation with a penalization term. The effect of the error reduction is verified numerically for the one-dimensional diffusion equation, Burgers' equation, and the two-dimensional Navier-Stokes equations. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5741","kind":"arxiv","version":4},"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":"1210.5741","created_at":"2026-05-18T02:43:37.138012+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.5741v4","created_at":"2026-05-18T02:43:37.138012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5741","created_at":"2026-05-18T02:43:37.138012+00:00"},{"alias_kind":"pith_short_12","alias_value":"D6ZJ62ESMUCA","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"D6ZJ62ESMUCATY4S","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"D6ZJ62ES","created_at":"2026-05-18T12:27:01.376967+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/D6ZJ62ESMUCATY4SSLRGUWN6NZ","json":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ.json","graph_json":"https://pith.science/api/pith-number/D6ZJ62ESMUCATY4SSLRGUWN6NZ/graph.json","events_json":"https://pith.science/api/pith-number/D6ZJ62ESMUCATY4SSLRGUWN6NZ/events.json","paper":"https://pith.science/paper/D6ZJ62ES"},"agent_actions":{"view_html":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ","download_json":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ.json","view_paper":"https://pith.science/paper/D6ZJ62ES","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.5741&json=true","fetch_graph":"https://pith.science/api/pith-number/D6ZJ62ESMUCATY4SSLRGUWN6NZ/graph.json","fetch_events":"https://pith.science/api/pith-number/D6ZJ62ESMUCATY4SSLRGUWN6NZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ/action/storage_attestation","attest_author":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ/action/author_attestation","sign_citation":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ/action/citation_signature","submit_replication":"https://pith.science/pith/D6ZJ62ESMUCATY4SSLRGUWN6NZ/action/replication_record"}},"created_at":"2026-05-18T02:43:37.138012+00:00","updated_at":"2026-05-18T02:43:37.138012+00:00"}