{"paper":{"title":"Finite Element Simulation of the Motion of a Rigid Body in a Fluid with Free Surface","license":"","headline":"","cross_cats":["physics.ao-ph","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"B.D. Reddy, S.J. Childs","submitted_at":"1999-05-01T17:03:02Z","abstract_excerpt":"In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an incompressible, Newtonian fluid is used. Such a description enables a distorting finite element mesh to be used for the deforming fluid domain.\n  A new scheme for the linearised approximation of the convective term is proposed and the improved, second order accuracy of this scheme is proved. A second theorem, which provides a guideline for the artificial adjus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9905001","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"}