Matches in SemOpenAlex for { <https://semopenalex.org/work/W4310306827> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4310306827 abstract "The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of the fluid-structure system. The original immersed boundary methods described immersed elastic structures using systems of flexible fibers, and even now, most immersed boundary methods still require Lagrangian meshes that are finer than the Eulerian grid. This work introduces a coupling scheme for the immersed boundary method to link the Lagrangian and Eulerian variables that facilitates independent spatial discretizations for the structure and background grid. This approach employs a finite element discretization of the structure while retaining a finite difference scheme for the Eulerian variables. We apply this method to benchmark problems involving elastic, rigid, and actively contracting structures, including an idealized model of the left ventricle of the heart. Our tests include cases in which, for a fixed Eulerian grid spacing, coarser Lagrangian structural meshes yield discretization errors that are as much as several orders of magnitude smaller than errors obtained using finer structural meshes. The Lagrangian-Eulerian coupling approach developed in this work enables the effective use of these coarse structural meshes with the immersed boundary method. This work also contrasts two different weak forms of the equations, one of which is demonstrated to be more effective for the coarse structural discretizations facilitated by our coupling approach." @default.
- W4310306827 created "2022-12-05" @default.
- W4310306827 creator A5058957444 @default.
- W4310306827 creator A5081780695 @default.
- W4310306827 date "2016-12-18" @default.
- W4310306827 modified "2023-09-29" @default.
- W4310306827 title "Hybrid finite difference/finite element immersed boundary method" @default.
- W4310306827 doi "https://doi.org/10.48550/arxiv.1612.05916" @default.
- W4310306827 hasPublicationYear "2016" @default.
- W4310306827 type Work @default.
- W4310306827 citedByCount "0" @default.
- W4310306827 crossrefType "posted-content" @default.
- W4310306827 hasAuthorship W4310306827A5058957444 @default.
- W4310306827 hasAuthorship W4310306827A5081780695 @default.
- W4310306827 hasBestOaLocation W43103068271 @default.
- W4310306827 hasConcept C121332964 @default.
- W4310306827 hasConcept C121704545 @default.
- W4310306827 hasConcept C134306372 @default.
- W4310306827 hasConcept C135628077 @default.
- W4310306827 hasConcept C187691185 @default.
- W4310306827 hasConcept C2524010 @default.
- W4310306827 hasConcept C2779126057 @default.
- W4310306827 hasConcept C28826006 @default.
- W4310306827 hasConcept C31487907 @default.
- W4310306827 hasConcept C33923547 @default.
- W4310306827 hasConcept C43058520 @default.
- W4310306827 hasConcept C53469067 @default.
- W4310306827 hasConcept C62354387 @default.
- W4310306827 hasConcept C73000952 @default.
- W4310306827 hasConcept C74650414 @default.
- W4310306827 hasConcept C97355855 @default.
- W4310306827 hasConceptScore W4310306827C121332964 @default.
- W4310306827 hasConceptScore W4310306827C121704545 @default.
- W4310306827 hasConceptScore W4310306827C134306372 @default.
- W4310306827 hasConceptScore W4310306827C135628077 @default.
- W4310306827 hasConceptScore W4310306827C187691185 @default.
- W4310306827 hasConceptScore W4310306827C2524010 @default.
- W4310306827 hasConceptScore W4310306827C2779126057 @default.
- W4310306827 hasConceptScore W4310306827C28826006 @default.
- W4310306827 hasConceptScore W4310306827C31487907 @default.
- W4310306827 hasConceptScore W4310306827C33923547 @default.
- W4310306827 hasConceptScore W4310306827C43058520 @default.
- W4310306827 hasConceptScore W4310306827C53469067 @default.
- W4310306827 hasConceptScore W4310306827C62354387 @default.
- W4310306827 hasConceptScore W4310306827C73000952 @default.
- W4310306827 hasConceptScore W4310306827C74650414 @default.
- W4310306827 hasConceptScore W4310306827C97355855 @default.
- W4310306827 hasLocation W43103068271 @default.
- W4310306827 hasLocation W43103068272 @default.
- W4310306827 hasLocation W43103068273 @default.
- W4310306827 hasLocation W43103068274 @default.
- W4310306827 hasOpenAccess W4310306827 @default.
- W4310306827 hasPrimaryLocation W43103068271 @default.
- W4310306827 hasRelatedWork W152160443 @default.
- W4310306827 hasRelatedWork W1546501163 @default.
- W4310306827 hasRelatedWork W155705146 @default.
- W4310306827 hasRelatedWork W2087757951 @default.
- W4310306827 hasRelatedWork W2186042614 @default.
- W4310306827 hasRelatedWork W2742545875 @default.
- W4310306827 hasRelatedWork W2965585506 @default.
- W4310306827 hasRelatedWork W3090384263 @default.
- W4310306827 hasRelatedWork W4252583622 @default.
- W4310306827 hasRelatedWork W2796969560 @default.
- W4310306827 isParatext "false" @default.
- W4310306827 isRetracted "false" @default.
- W4310306827 workType "article" @default.