Truncated Newton methods and the modeling of complex immersed elastic structures
Abstract
Abstract 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.
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The immersed boundary method has been applied to a wide variety of problems in biological fluid dynamics for intermediate Re including insect flight, aquatic locomotion, and ciliary driven flows.
“The immersed boundary method has been applied to a wide variety of problems in biological fluid dynamics for intermediate Re including insect flight [26, 27, 28], aquatic locomotion [16, 15], and ciliary driven flows [18].”
From Reynolds number limits for jet propulsion: a numerical study of simplified jellyfish (2011) · cites this paper as [15]
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Herschlag, G., & Miller, L. A. (2010) · arXiv · doi:10.48550/arxiv.1010.3357
- Authors
- Fauci, L. J., & Fogelson, A. L.
- Affiliations
- Tulane University (US)
- University of Utah (US)
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1993-07
- Volume
- 46
- Issue
- 6
- Pages
- 787-818
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W1992486632
- Cited by
- 94
- References
- 34
- Citations by year
- 2024: 2 · 2023: 1 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 3 · 2018: 2 · 2017: 3 · 2016: 2 · 2015: 3 · 2014: 5 · 2013: 1 · 2012: 11
- FWCI
- 1.89
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Communications on Pure and Applied Mathematics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
- Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Vibration Analysis
- Keywords
- truncated Newton method, immersed boundary method, fluid-structure interaction, incompressible viscous flow, platelet aggregation, coagulation
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