Simulation of a Flapping Flexible Filament in a Flowing Soap Film by the Immersed Boundary Method

By Luoding Zhu, Charles S. Peskin. 2002

444 citations recorded by the source corpus.

Subfields: Computational Mechanics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/403c254279691bf111f8a0605e09615825ccda96

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In Computational Mechanics

In Condensed Matter Physics

Citations in the corpus

Flapping dynamics of a flag in a uniform stream (2007, methodology): “The phenomenon is also observed in the low-Reynoldsnumber numerical simulations of Zhu & Peskin (2002).”
Three-dimensional simulation of a flapping flag in a uniform flow (2010, methodology): “The development of new numerical methods and the improvement in computational power have made it an easy task to perform direct simulations of a two-dimensional fluid flow interacting with flexible filaments or plates (Zhu & Peskin 2002; Farnell, David & Barton 2004; Huang, Shin & Sung 2007).”
An immersed boundary method for fluid–flexible structure interaction (2009, background): “We also note a recent effort in Mori and Peskin [20] where the mass of the elastic structure immersed in a fluid is incorporated as a d’Alembert force.”
Vortex shedding model of a flapping flag (2008, methodology): “Recently full numerical simulations of the coupled fluid and solid dynamics have been carried out using immersed-boundary methods (Zhu & Peskin 2002) and coupled fluid–solid solvers (Connell & Yue 2007).”
A finite element approach to the immersed boundary method (2003, methodology): “This general framework was used, for example, to model the blood flow in the heart [28] [25], the fluid flow in collapsible elastic tubes [34], a flapping flexible filament in a flowing soap film [37] [38].”
Penalty immersed boundary method for an elastic boundary with mass (2007, background): “The massive boundary moves according to Newton’s law (F = ma) in which the only forces acting are the forces of the stiff springs and the gravitational force.”
Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “Throughout the years, the Immersed Boundary Method has been successfully applied in many application fields [14,6,22,8].”
NUMERICAL STABILITY OF THE FINITE ELEMENT IMMERSED BOUNDARY METHOD (2007, unknown): “Similar models were used, for example, to model the blood flow in the heart,(13,11) the fluid flow in collapsible elastic tubes(16) or a flapping flexible filament in a flowing soap film.(22,23) 4.”
Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, methodology): “The classical representative of fixed grid methods is Peskin’s immersed boundary method, which has been successfully applied, among others, to FSI problems arising in heart valve fluid mechanics [4], biofilming processes [8], the interaction between flexible fibers and flow [9], the interaction betw”
An immersed interface method for simulating the interaction of a fluid with moving boundaries (2006, background): “Examples include the virtual/immersed boundary method Motivated by the goal to eventually obtain second-order accuracy in Peskin's immersed boundary method, LeVeque and Li [17] [18] developed the immersed interface method.”
On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems (2005, methodology): “In most work using the immersed boundary method, these discretizations are fixed throughout the computation [5,24–26].”