Application of the lattice Boltzmann method to transition in oscillatory channel flow

Cosgrove, J. A.; Buick, James; Tonge, S. J.; Munro, C. G.; Greated, Clive; Campbell, D. Murray

doi:10.1088/0305-4470/36/10/320

Cited by 69 publications

(49 citation statements)

References 22 publications

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“…For the case illustrated in Figure 5 T = 4000, U c = 0:01, N r = 41, which is a viscous-dominated system [8]. For case illustrated in Figure 5(b), Re = 1920, = 0:7, T = 1000, U c = 0:8, N r = 161, which is a momentumdominated system in the laminar regime [8].…”

Section: E Ect Of Womersley Number On Ow Patternmentioning

confidence: 96%

An axisymmetric incompressible lattice BGK model for simulation of the pulsatile flow in a circular pipe

Lee

Huang

Chen

2005

Numerical Methods in Fluids

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SUMMARYApplying the idea of Halliday et al., through inserting the 'source' term into the two-dimensional lattice Boltzmann equation to recover the incompressible Navier-Stokes equation in the cylindrical coordinates, an axisymmetric incompressible Lattice-BGK D2Q9 model was proposed here to simulate the pulsatile ows in a circular pipe. The pulsatile ows in a circular pipe with 1¡Re¡2000 (Reynolds number is based on pipe's diameter), Womersley number 1¡ ¡25 were investigated and compared with the exact analytical solutions. The excellent agreements between numerical and the analytical solution validate our model. The e ect of schemes to implement pressure gradient and the model's spatial accuracy were also discussed. To show the performance of the proposed model, the same problems were also simulated by Halliday's axisymmetric model which derived from standard LBM and the three-dimensional incompressible LBGK model. It is observed that the present model reduces the compressibility e ect in Halliday's model and is much more e cient than the LBGK D3Q19 model for an axisymmetric pulsatile ow problem.

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Section: E Ect Of Womersley Number On Ow Patternmentioning

confidence: 96%

An axisymmetric incompressible lattice BGK model for simulation of the pulsatile flow in a circular pipe

Lee

Huang

Chen

2005

Numerical Methods in Fluids

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“…It has been successfully applied to many problems including turbulence 15 , colloidal suspensions 11 , magnetohydrodynamics 16 and multiphase flow 17 .…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Application of the lattice Boltzmann method to arterial flow simulation: Investigation of boundary conditions for complex arterial geometries

Boyd

Buick

Cosgrove

et al. 2004

Australas Phys Eng Sci Med

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The application of the lattice Boltzmann method (LBM) to carotid artery blood flow is investigated, in particular, the importance of the boundary conditions is considered. Simulations are presented using two different boundary conditions: the traditional half-way bounce-back and an extrapolation scheme. The two methods are described and compared with respect to arterial flow simulation. The results indicate that the extrapolation scheme is preferable in narrow arteries, or when a stenosis is present in a larger artery.

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“…In a system of dimensionless variables described by U and L, the timedependent solution to this flow is given by the Womersley profile (see the works of Womersley [101] or Cosgrove et al [23] :…”

Section: Oscillating Plane Channel Flow (2d)mentioning

confidence: 99%

“…and we get 23) where the colon ":" denotes the full index contraction and where we used twice the continuity and once the momentum conservation equation. At this point we have the mass, momentum and energy conservation equations in general forms.…”

mentioning

confidence: 99%

Lattice Boltzmann method for the simulation of viscoelastic fluid flows

Malaspinas

Fiétier

Deville

2010

Journal of Non-Newtonian Fluid Mechanics

116

100

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Application of the lattice Boltzmann method to transition in oscillatory channel flow

Cited by 69 publications

References 22 publications

An axisymmetric incompressible lattice BGK model for simulation of the pulsatile flow in a circular pipe

An axisymmetric incompressible lattice BGK model for simulation of the pulsatile flow in a circular pipe

Application of the lattice Boltzmann method to arterial flow simulation: Investigation of boundary conditions for complex arterial geometries

Lattice Boltzmann method for the simulation of viscoelastic fluid flows

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