TY - JOUR
T1 - Immersed Methods for Fluid-Structure Interaction
AU - Griffith, Boyce E.
AU - Patankar, Neelesh A.
N1 - Funding Information:
B.E.G. acknowledges research funding from NIH (National Institutes of Health) Awards R01HL117063 and U01HL143336 and NSF (National Science Foundation) Awards CBET 1757193, DMS 1664645, OAC 1450327, and OAC 1652541. He is grateful to Aleksandar Donev, David M. McQueen, and Charles S. Peskin for many collaborations and discussions on immersed boundary methods and related approaches to fluid–structure interaction. He also thanks Brent A. Craven, Alexander P. Hoover, Ebrahim M. Kolahdouz, Jae Ho Lee, David M. McQueen, Laura A. Miller, Charles S. Peskin, Charles Puelz, Simone Rossi, and Margaret Anne Smith in preparing simulation results and figures for this review. N.A.P. acknowledges research funding from NIH Award P01DK117824 and NSF Awards DMS 1418672 and OAC 1450374.
Publisher Copyright:
© 2020 by Annual Reviews. All rights reserved.
PY - 2020/1/5
Y1 - 2020/1/5
N2 - Fluid-structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid-structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration that can otherwise be required for models involving large deformations and displacements. This article reviews immersed methods for both elastic structures and structures with prescribed kinematics. It considers formulations using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid-structure interfaces. Benchmark problems demonstrate the effectiveness of these methods, and selected applications at Reynolds numbers up to approximately 20,000 highlight their impact in biological and biomedical modeling and simulation.
AB - Fluid-structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid-structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration that can otherwise be required for models involving large deformations and displacements. This article reviews immersed methods for both elastic structures and structures with prescribed kinematics. It considers formulations using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid-structure interfaces. Benchmark problems demonstrate the effectiveness of these methods, and selected applications at Reynolds numbers up to approximately 20,000 highlight their impact in biological and biomedical modeling and simulation.
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U2 - 10.1146/annurev-fluid-010719-060228
DO - 10.1146/annurev-fluid-010719-060228
M3 - Review article
C2 - 33012877
AN - SCOPUS:85077776665
VL - 52
SP - 421
EP - 448
JO - Annual Review of Fluid Mechanics
JF - Annual Review of Fluid Mechanics
SN - 0066-4189
ER -