On optimal node spacing for immersed boundary–lattice Boltzmann method in 2D and 3D

Fučík, Radek; Eichler, Pavel; Straka, Róbert; Pauš, Petr; Klinkovský, Jakub; Oberhuber, Tomáš

doi:10.1016/j.camwa.2018.10.045

Cited by 9 publications

(8 citation statements)

References 26 publications

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“…The data was analyzed using averaging and integration techniques to obtain forward and backward fluxes through the slices along the horizontal axis of the flowphantom up to 8 cm behind the valve. The LBM used in this work has been validated in a number of studies [21,9,17,18,19,16,8,24,14,35,34] and the inputs for the model are solely the geometry and the measured inlet flow. Hence, here, the model can be considered as an "in silico" gold standard, which is then used to explain the effect of turbulence on the underestimation of backward flow measured by PC-MRI.…”

Section: Discussionmentioning

confidence: 99%

“…The scope of this article is to use a CFD model to investigate and quantify the in vitro underestimation of forward and backward flows measured by PC-MRI due to the presence of turbulence behind a stenosed valve or a narrowed vessel region. The CFD model used is based on the 3D lattice Boltzmann method (LBM, [21]) in its state-of-the-art variant [21,9,17,18,19,16,8,24], which was shown to be suitable for both laminar and turbulent Newtonian blood flows in large arteries [14,3] and efficient to simulate transitions from laminar to turbulent flow without any specific turbulence model, i.e. without the need of adjusting any additional parameters specific to the turbulent regime [15].…”

Section: Introductionmentioning

confidence: 99%

“…To achieve these objectives, a specifically designed MRI flow-phantom experiment was carried out, while the LBM CFD model [14] developed previously in our lab was employed. The flow-phantom allowed the variation of inflow and interchangeable valve segments were used to represent the aortic valve with stenosis of various degrees and morphological types.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: experimental and computational study using lattice Boltzmann method

Fučík

Galabov

Pauš

et al. 2020

Magn Reson Mater Phy

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: experimental and computational study using lattice Boltzmann method

Fučík

Galabov

Pauš

et al. 2020

Magn Reson Mater Phy

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“…The advantage of LBM lies in the algorithm, which can be massively parallelized. Because of its efficiency, LBM has rapidly evolved during the last years and several submethods emerged such as SRT-LBM 1 [9], MRT-LBM 2 [5], CLBM 3 [7], CuLBM 4 [8], ELBM 5 [3], KBC 6 [11] etc.…”

mentioning

confidence: 99%

“…In [6], a computational study showed that the condition given by Eq. (1) is not necessary if the immersed body is solid and immobile.…”

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confidence: 99%

Computational study of immersed boundary - lattice Boltzmann method for fluid-structure interaction

Eichler¹,

Fučík²,

Straka³

2021

Discrete &Amp; Continuous Dynamical Systems - S

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In this article, we deal with the numerical immersed boundarylattice Boltzmann method for simulation of the fluid-structure interaction problems in 2D. We consider the interaction of incompressible, Newtonian fluid in an isothermal system with an elastic fiber, which represents an immersed body boundary. First, a short introduction to the lattice Boltzmann and immersed boundary method is presented and the combination of these two methods is briefly discussed. Then, the choice of the smooth approximation of the Dirac delta function and the discretization of the immersed body is discussed. One of the significant drawbacks of immersed boundary method is the penetrative flow through the immersed impermeable boundary. The effect of the immersed body boundary discretization is investigated using two benchmark problems, where an elastic fiber is deformed. The results indicate that the restrictions placed on the discretization in literature are not necessary.

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A lattice Boltzmann approach to mathematical modeling of myocardial perfusion

Fučík,

Kovář,

Škardová

et al. 2024

Numer Methods Biomed Eng

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A mathematical model of myocardial perfusion based on the lattice Boltzmann method (LBM) is proposed and its applicability is investigated in both healthy and diseased cases. The myocardium is conceptualized as a porous material in which the transport and mass transfer of a contrast agent in blood flow is studied. The results of myocardial perfusion obtained using LBM in 1D and 2D are confronted with previously reported results in the literature and the results obtained using the mixed‐hybrid finite element method. Since LBM is not suitable for simulating flow in heterogeneous porous media, a simplified and computationally efficient 1D‐analog approach to 2D diseased case is proposed and its applicability discussed.

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On optimal node spacing for immersed boundary–lattice Boltzmann method in 2D and 3D

Cited by 9 publications

References 26 publications

Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: experimental and computational study using lattice Boltzmann method

Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: experimental and computational study using lattice Boltzmann method

Computational study of immersed boundary - lattice Boltzmann method for fluid-structure interaction

A lattice Boltzmann approach to mathematical modeling of myocardial perfusion

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