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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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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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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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2018
In this paper, we report the extension of an earlier developed Direct Numerical Simulation (DNS) model to study coupled heat and mass transfer problems in particulate flows. The DNS model builds on an efficient ghost-cell based Immersed Boundary Method (IBM) which implicitly incorporates the boundary conditions into the discretized momentum, thermal ...
Lu, Jiangtao +3 more
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In this paper, we report the extension of an earlier developed Direct Numerical Simulation (DNS) model to study coupled heat and mass transfer problems in particulate flows. The DNS model builds on an efficient ghost-cell based Immersed Boundary Method (IBM) which implicitly incorporates the boundary conditions into the discretized momentum, thermal ...
Lu, Jiangtao +3 more
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Boundary slip from the immersed boundary lattice Boltzmann models
Physical Review E, 2009We report an interesting and important observation of the velocity fields from immersed boundary lattice Boltzmann methods (IB-LBM). The computed velocity profiles can deviate from theoretical predictions greatly even for very simple flow situations, both in the immersed boundary layer and the bulk region.
Guigao, Le, Junfeng, Zhang
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Immersed Boundary Methods: Historical Perspective and Future Outlook
Annual Review of Fluid Mechanics, 2023Roberto Verzicco
exaly
An Introduction to Immersed Boundary Methods
Unlock the potential of computational fluid dynamics with this essential guide for master's and graduate students, and researchers. It explores the immersed boundary method (IBM), a revolutionary approach for simulating flows in complex geometries.Roberto Verzicco +2 more
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Immersed Boundary/Continuum Methods
2009In the study of biological systems, the coupling of fluid and solid/structure plays an important role. Traditionally, staggered iterations are used to link available finite element codes with computational fluid dynamics codes. Although this procedure is convenient, complex dynamical system behaviors often get lost in the process.
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A bounce back-immersed boundary-lattice Boltzmann model for curved boundary
Applied Mathematical Modelling, 2020Zhengdao Wang +2 more
exaly