Immersed boundary method and lattice Boltzmann method coupled FSI simulation of mitral leaflet flow

Cheng, Yongguang; Zhang, Hui

doi:10.1016/j.compfluid.2010.01.003

Cited by 64 publications

(29 citation statements)

References 38 publications

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“…The momentum exchange method of the particle distributions was used by Niu et al [27] to calculate the force acting on the immersed boundary. For deformable boundary configurations, Zhang et al [28] proposed an IB-LBM scheme to investigate the aggregation of red blood cells, whereas Cheng and Zhang [29] improved the forcing introducing method. However, none of the above methods can satisfy the non-slip boundary condition exactly, since the velocity correction is pre-calculated and cannot be further manipulated.…”

Section: Introductionmentioning

confidence: 99%

PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver

Falagkaris

Ingram

Viola

et al. 2017

Computers & Mathematics with Applications

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Most realistic fluid flow problems are characterized by high Reynolds numbers and complex boundaries. Over the last ten years, immersed boundary methods that are able to cope with realistic geometries have been applied to Lattice-Boltzmann (LB) methods. These methods, however, have normally been applied to low Reynolds number problems. Here we present a novel coupling between an iterative force-correction immersed boundary (Zhang et al., 2016) and a multi-domain cascaded LB method. The iterative force-correction immersed boundary method has been selected due to the improved accuracy of the computation, while the cascaded LB formulation is used due to its superior stability at high Reynolds numbers. The coupling is shown to improve both the stability and numerical accuracy of the solution. The resulting solver has been applied to viscous flow (up to a Reynolds number of 100000) passed a NACA-0012 airfoil at a 10 degree angle of attack. Good agreement with results obtained using a body-fitted Navier-Stokes solver has been obtained. The formulation provides a straight forward and efficient method for modeling realistic geometries and could easily be extended to problems with moving boundaries.

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Section: Introductionmentioning

confidence: 99%

PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver

Falagkaris

Ingram

Viola

et al. 2017

Computers & Mathematics with Applications

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show abstract

“…The fluid-structure-interaction is enforced by the following equation [27, 32, 33, 36]:

\begin{matrix} T1 \\ f (x, t) = {false\int}_{normalΓ} F (s, t) D (x - X (s, t)) d s, \end{matrix}

where F ( s , t ) is Lagrangian force acting on the ambient fluid by the cell membrane. In the present study, the cell model is proposed as

\begin{matrix} T1 \\ F = F_{l} - F_{b} + F_{s} + F_{e}, \end{matrix}

where F l is the tensile force, F b is the bending force, F s is the normal force on the membrane which controls the cell incompressibility, and F e is the membrane-wall extrusion acting on the cell.…”

Section: Models and Methodsmentioning

confidence: 99%

A Numerical Simulation of Cell Separation by Simplified Asymmetric Pinched Flow Fractionation

Tang

2016

Computational and Mathematical Methods in Medicine

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As a typical microfluidic cell sorting technique, the size-dependent cell sorting has attracted much interest in recent years. In this paper, a size-dependent cell sorting scheme is presented based on a controllable asymmetric pinched flow by employing an immersed boundary-lattice Boltzmann method (IB-LBM). The geometry of channels consists of 2 upstream branches, 1 transitional channel, and 4 downstream branches (D-branches). Simulations are conducted by varying inlet flow ratio, the cell size, and the ratio of flux of outlet 4 to the total flux. It is found that, after being randomly released in one upstream branch, the cells are aligned in a line close to one sidewall of the transitional channel due to the hydrodynamic forces of the asymmetric pinched flow. Cells with different sizes can be fed into different downstream D-branches just by regulating the flux of one D-branch. A principle governing D-branch choice of a cell is obtained, with which a series of numerical cases are performed to sort the cell mixture involving two, three, or four classes of diameters. Results show that, for each case, an adaptive regulating flux can be determined to sort the cell mixture effectively.

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“…The LBM is fast, accurate, relatively simple, compatible with the desired geometries and highly parallelizable. Zhang et al [9,10] studied the dynamic behavior of RBC in shear flow and channel flow and investigated several hemodynamic and rheological properties, using a combination of LBM and IBM.. Cheng et al [11] have proposed a proper model to simulate the fast boundary movements and a high pressure gradient occurred in the fluid-solid interaction. In their research mitral valve jet flow considering the interaction of leaflets and fluid has been simulated.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Interaction Between Red Blood Cell with Surrounding Fluid in Poiseuille Flow

Esmaily¹

2018

AAMM

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In this research, motion and deformation of a red blood cell (RBC) in a microchannel with stenosis is investigated by combined Lattice Boltzmann-Immersed Boundary method. The fluid flow occurs due to the pressure difference between the inlet and the outlet of the microchannel. The immersed boundary algorithm guaranteed that there is no relative velocity between the RBC and fluid. Therefore, mass transfer along the immersed border does not occur. It can be seen that the healthy RBC has more deformation and passes the stenosis easier while the sick one passes the stenosis with less deformation and returns to its initial state faster. Increasing the pressure gradient (i.e., increasing Reynolds number) would cause more deformation of the RBC. It is found that a healthy RBC moves faster than a sick one along the microchannel. Blood pressure increases due to the presence of stenosis and low deformable RBCs.It is the reason of many serious diseases including cardiovascular diseases. The results of this paper were compared to the previous valid results and good agreements were observed.

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Immersed boundary method and lattice Boltzmann method coupled FSI simulation of mitral leaflet flow

Cited by 64 publications

References 38 publications

PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver

PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice Boltzmann solver

A Numerical Simulation of Cell Separation by Simplified Asymmetric Pinched Flow Fractionation

Numerical Simulation of Interaction Between Red Blood Cell with Surrounding Fluid in Poiseuille Flow

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