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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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On the hyper-elastic formulation of the immersed boundary method
Computer Methods in Applied Mechanics and Engineering, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boffi, D. +3 more
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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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A Finite Element Approach to the Immersed Boundary Method
2009The immersed boundary method was introduced by Peskin [31] to study the blood flow in the heart and further applied to many situations where a fluid interacts with an elastic structure. The basic idea is to consider the structure as a part of the fluid where additional forces are applied and additional mass is localized.
Boffi Daniele +2 more
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A Weak Formulation of the Immersed Boundary Method
SIAM Journal on Scientific Computing, 2012A new method of spatial discretization for immersed boundary computations is introduced. Fluid velocity and pressure are obtained as weak solutions of the discretized fluid equations with respect to a wavelet basis of functions. The scaling function of the fluid velocity basis may be chosen to be identical to Peskin's discrete approximation to the ...
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Immersed Boundary Projection Methods
2020© 2020 Springer Nature Singapore Pte Ltd. First Online: 16 May 2020. BD gratefully acknowledges support from the Swiss National Science Foundation (SNF Grant No. P2EZP2_178436), TC was supported by ONR grant N00014-16-1-2734. We are likewise grateful to numerous students and collaborators, particularly Sam Taira, Sebastian Liska, and Andres Goza, who ...
Dorschner, Benedikt, Colonius, Tim
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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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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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An immersed boundary method in OpenFOAM : Verification and validation
Computers & Fluids, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constant, Eddy +4 more
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