A novel iterative direct-forcing immersed boundary method and its finite volume applications

Ji, Chunning; Munjiza, Ante; Williams, J.J.R.

doi:10.1016/j.jcp.2011.11.010

Cited by 167 publications

(93 citation statements)

References 31 publications

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“…The drag coefficient is seen to decrease as the Reynolds number increases, and the relationship is nearly linear. Similar results can be found in previous studies [35][36][37][38]. For Re = 100, the drag coefficient is obtained as 1.38, and for Re = 200, it is 1.29.…”

Section: Flow Over a Circular Cylinder With Heat Transfersupporting

confidence: 91%

Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata

et al. 2016

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Section: Flow Over a Circular Cylinder With Heat Transfersupporting

confidence: 91%

Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata

et al. 2016

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“…Since its development by Mohd-Yusof [8], the DF method has gained in popularity and has been successfully applied to various fluid-structure interaction problems (e.g. [10][11][12][13][14][15]) or turbulent flow simulations (e.g. [16,17]) using mesh refinement or mesh stretching techniques.…”

Section: Introductionmentioning

confidence: 99%

A second order penalized direct forcing for hybrid Cartesian/immersed boundary flow simulations

Introini¹,

Belliard²,

Fournier³

2014

Computers & Fluids

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In this paper, we propose a second order penalized direct forcing method to deal with fluidstructure interaction problems involving complex static or time-varying geometries. As this work constitutes a first step toward more complicated problems, our developments are restricted to Dirichlet boundary condition in purely hydraulic context. The proposed method belongs to the class of immersed boundary techniques and consists in immersing the physical domain in a Cartesian fictitious one of simpler geometry on fixed grids. A penalized forcing term is added to the momentum equation to take the boundary conditions around/inside the obstacles into account. This approach avoids the tedious task of re-meshing and allows us to use fast and accurate numerical schemes. In contrary, as the immersed boundary is described by a set of Lagrangian points that does not generally coincide with those of the Eulerian grid, numerical procedures are required to reconstruct the velocity field near the immersed boundary. Here, we develop a second order linear interpolation scheme and we compare it to a simpler model of order one. As far as the governing equations are concerned, we use a particular fractional-step method in which the penalized forcing term is distributed both in prediction and correction equations. The accuracy of the proposed method is assessed through 2-D numerical experiments involving static and rotating solids. We show in particular that the numerical rate of convergence of our method is quasi-quadratic.

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“…The surface nodes of the solids were then treated as Immersed Boundary points for the fluid to form nonslip wall boundaries. A direct-forcing scheme, which has been well established and verified [17], was used for the implementation of the IB method. With the body force due to the Immersed Boundary condition incorporated, the time-discretized momentum equation of the fluid can be written as

\begin{matrix} T1 \\ \frac{u^{n + 1} - u^{n}}{Δ t} = {r h s}^{n + i / 2} + f^{n + i / 2}, \end{matrix}

where r h s n + i /2 regroups the convective, pressure, and viscous terms at the intermediate time level between t n and t n +1 .…”

Section: Methodsmentioning

confidence: 99%

An Investigation on the Aggregation and Rheodynamics of Human Red Blood Cells Using High Performance Computations

Avital

et al. 2017

Scientifica

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Studies on the haemodynamics of human circulation are clinically and scientifically important. In order to investigate the effect of deformation and aggregation of red blood cells (RBCs) in blood flow, a computational technique has been developed by coupling the interaction between the fluid and the deformable RBCs. Parallelization was carried out for the coupled code and a high speedup was achieved based on a spatial decomposition. In order to verify the code's capability of simulating RBC deformation and transport, simulations were carried out for a spherical capsule in a microchannel and multiple RBC transport in a Poiseuille flow. RBC transport in a confined tube was also carried out to simulate the peristaltic effects of microvessels. Relatively large-scale simulations were carried out of the motion of 49,512 RBCs in shear flows, which yielded a hematocrit of 45%. The large-scale feature of the simulation has enabled a macroscale verification and investigation of the overall characteristics of RBC aggregations to be carried out. The results are in excellent agreement with experimental studies and, more specifically, both the experimental and simulation results show uniform RBC distributions under high shear rates (60–100/s) whereas large aggregations were observed under a lower shear rate of 10/s.

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A novel iterative direct-forcing immersed boundary method and its finite volume applications

Cited by 167 publications

References 31 publications

Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata

Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata

A second order penalized direct forcing for hybrid Cartesian/immersed boundary flow simulations

An Investigation on the Aggregation and Rheodynamics of Human Red Blood Cells Using High Performance Computations

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