The immersed boundary method

By Charles S. Peskin. Acta Numerica, 2002

4,715 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4c0c0a95d7f710a7b9e698b58d3ff17824aff750

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In Computational Mechanics

Citations in the corpus

A simple SPH algorithm for multi‐fluid flow with high density ratios (2013, methodology): “We replace boundary conditions on the velocity by using boundary forces in a similar way to Sirovich [12, 13] and Peskin [14, 15].”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, positive): “The first non-boundaryfitted approach to become widely known for computational fluid dynamics (CFD) was Peskin’s immersed boundary method [45, 46].”
Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “The self-sustained flapping of a solid slab has been studied before using numerical codes (Zhu and Peskin, 2002; Yu, 2005) and is a good test for testing the FSI approaches. A rectangular fluid domain is considered with a thin solid slab positioned in the middle of the domain that is aligned in the ”
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations (2009, methodology): “In the original IB method proposed by Peskin [1], the elastic boundary was mimicked by a set of Lagrangian points linked by springs, the force at the Lagrangian point was determined by some constitutive laws (e.g. Hooke’s law), the Lagrangian variables and the Eulerian variables (such as force and t”
Coupling water and smoke to thin deformable and rigid shells (2005, methodology): “Probably the most common strategy for single phase fluids is based on the immersed boundary method of [Peskin 1972; Peskin 2002], and [Zhu and Peskin 2002] used this method to calculate the motion of a thin flexible filament (a curve) in two spatial dimensions.”
An immersed interface method for simulating the interaction of a fluid with moving boundaries (2006, background): “A rigorous derivation of the formulation from the principle of least action can be found in [24].”
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.”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, background): “introduced by Peskin [12,13], where complex geometries within a Cartesian grid can be replaced by generating an external force field which acts on the fluid in the same manner as would a solid boundary.”
Fluid flows created by swimming bacteria drive self-organization in confined suspensions (2014, methodology): “[38] Peskin CS (2002) The immersed boundary method.”
Patient-specific Modeling of Cardiovascular Mechanics (2009, methodology): “Peskin CS. 1972.”
Dynamics of Flexible Fibers in Viscous Flows and Fluids (2019, methodology): “Dynamics of flexible fibers in viscous flows and fluids O. du Roure,1, A. Lindner,1,2, E.N. Nazockdast3, and M.J. Shelley4,5 1 Laboratoire de Physique et Mecanique des Milieux Heterog‘enes (PMMH), ESPCI Paris, PSL University, CNRS, Sorbonne University, and Paris Diderot University, 75005 Paris, Fran”