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Truncated newton methods and the modeling of complex immersed elastic structures
Author(s) -
Fauci Lisa J.,
Fogelson Aaron L.
Publication year - 1993
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160460602
Subject(s) - immersed boundary method , compressibility , fluid–structure interaction , mathematics , minification , newton's method , boundary (topology) , viscous liquid , classical mechanics , mechanics , mathematical analysis , mathematical optimization , physics , finite element method , thermodynamics , nonlinear system , quantum mechanics
Truncated Newton minimization methods are combined with Peskin's immersed boundary method to facilitate investigation of the dynamic interaction between a viscous, incompressible fluid and immersed elastic objects of complex structure. Applications to aquatic animal locomotion and platelet aggregation during blood clotting are presented. © 1993 John Wiley & Sons, Inc.