Penalty immersed boundary method for an elastic boundary with mass

By Yongsam Kim, Charles S. Peskin. 2007

232 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e418062d435550171087642a66430a46adacfdcb

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In Computational Mechanics

Citations in the corpus

Fluid–structure interaction involving large deformations: 3D simulations and applications to biological systems (2014, background): “However, the 3D simulation of the complex flapping motion is very challenging and has only been done in a few cases [42, 24].”
Flapping dynamics of an inverted flag in a uniform flow (2015, background): “Through this mechanism, the fluid equations and the solid governing equations were independently calculated with the momentum forcing which was the force of the stiff spring with damping (Peskin, 2002; Zhu and Peskin, 2002; Kim and Peskin, 2007).”
Numerical Methods for Fluid-Structure Interaction — A Review (2012, background): “…Dillon et al. 1995, Fadlun et al. 2000, Fauci and McDonald 1995, Griffith 2005, Huang and Sung 2009, Kim and Choi 2006; Kim, Kim and Choi 2001, Kim and Peskin 2007; Le, Khoo and Lim 2008, https://doi.org/10.4208/cicp.291210.290411s Published online by Cambridge University Press Stockie and…”
Three-dimensional simulation of a flapping flag in a uniform flow (2010, methodology): “These three-dimensional effects on the flag flapping dynamics are investigated numerically in detail, because these phenomena are so familiar to us but only few previous studies have taken into account these effects so far (Shelley et al. 2005; Kim & Peskin 2007).”
An immersed boundary method for fluid–flexible structure interaction (2009, methodology): “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.”
Flapping and Bending Bodies Interacting with Fluid Flows (2011, background): “This expense was partially addressed in subsequent work by Kim & Peskin (2008) in which the introduction of lagged tether points carrying mass circumvented the necessity of solving a variable coefficient elliptic problem, although at the cost of introducing a new small timescale into the problem.”