Theoretical Justification and Error Analysis for Slender Body Theory
From MaRDI portal
Publication:5114204
DOI10.1002/cpa.21872zbMath1447.35253arXiv1807.00178OpenAlexW2985873024WikidataQ126784892 ScholiaQ126784892MaRDI QIDQ5114204
Yoichiro Mori, Laurel Ohm, Daniel P. Spirn
Publication date: 21 June 2020
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00178
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Biopropulsion in water and in air (76Z10)
Related Items
A single-layer based numerical method for the slender body boundary value problem ⋮ Slender body theories for rotating filaments ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow ⋮ An Immersed Boundary Method With Subgrid Resolution and Improved Numerical Stability Applied to Slender Bodies in Stokes Flow ⋮ Dropping slender-body theory into the mud ⋮ Theoretical justification and error analysis for slender body theory with free ends ⋮ Theorems on the Stokesian Hydrodynamics of a Rigid Filament in the Limit of Vanishing Radius ⋮ Motion of several slender rigid filaments in a Stokes flow ⋮ Well-posedness and applications of classical elastohydrodynamics for a swimming filament
