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Recent trends and progress in the immersed boundary method
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2019 The immersed boundary method is a methodology for dealing with boundary conditions at fluid–fluid and fluid–solid interfaces. The immersed boundary method has been attracting growing attention in the recent years due to its simplicity in mesh processing.
Wei-Xi Huang, Fang-Bao Tian
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Annual Review of Fluid Mechanics, 2005
The term “immersed boundary method” was first used in reference to a method developed by Peskin (1972) to simulate cardiac mechanics and associated blood flow. The distinguishing feature of this method was that the entire simulation was carried out on a Cartesian grid, which did not conform to the geometry of the heart, and a novel procedure was ...
Rajat Mittal, Gianluca Iaccarino
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The term “immersed boundary method” was first used in reference to a method developed by Peskin (1972) to simulate cardiac mechanics and associated blood flow. The distinguishing feature of this method was that the entire simulation was carried out on a Cartesian grid, which did not conform to the geometry of the heart, and a novel procedure was ...
Rajat Mittal, Gianluca Iaccarino
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An Adaptive Version of the Immersed Boundary Method
Journal of Computational Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roma, Alexandre M. +2 more
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An immersed boundary method for nonuniform grids
Journal of Computational Physics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juwon Jang, Changhoon Lee
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Boundaries Immersed in a Scalar Quantum Field
Fortschritte der Physik/Progress of Physics, 1996We study the interaction between a scalar quantum field , and many different boundary configurations constructed from (parallel and orthogonal) thin planar surfaces on which is constrained to vanish, or to satisfy Neumann conditions. For most of these boundaries the Casimir problem has not previously been investigated.
Actor, A. A., Bender, I.
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Hybrid immersed interface-immersed boundary methods for AC dielectrophoresis
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Robiul Hossan +2 more
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A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations
Journal of Computational Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei-Fan Hu +2 more
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2016
Analysis of flow over bodies with complex surface geometry can pose a challenge in terms of spatial discretization. Creating a high quality boundary fitted mesh can not only be difficult but also time consuming especially when there are complex flow structures over intricate boundary geometry that need to be resolved in the simulations.
Takeo Kajishima, Kunihiko Taira
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Analysis of flow over bodies with complex surface geometry can pose a challenge in terms of spatial discretization. Creating a high quality boundary fitted mesh can not only be difficult but also time consuming especially when there are complex flow structures over intricate boundary geometry that need to be resolved in the simulations.
Takeo Kajishima, Kunihiko Taira
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Nodal Flow Simulations by the Immersed Boundary Method
SIAM Journal on Applied Mathematics, 2014Summary: Experimental work in developmental biology has recently shown that fluid flow driven by rotating cilia in the node, which is a structure present in the early stage of growth of vertebrate embryos, is responsible for determining the normal development of the left-right asymmetry, with the heart on the left of the body, the liver on the right ...
Yongsam Kim, Joohee Lee, Sookkyung Lim
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Stochastic Mode Reduction for the Immersed Boundary Method
SIAM Journal on Applied Mathematics, 2004The authors demonstrate how the MTV (Majda, Timofeev and Vanden-Eijnden) framework can be applied to a quite different class of applications, namely the simulation of microscale fluid systems with immersed structures and thermal fluctuations. They consider the immersed boundary (IB) method.
Andrew J. Majda, Peter R. Kramer
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