Lattice Boltzmann method for modelling of biological phenomena

Noël, Romain; Ge, Fei; Zhang, Yue; Navarro, Laurent; Courbebaisse, Guy

doi:10.23919/eusipco.2017.8081692

Cited by 7 publications

(5 citation statements)

References 25 publications

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“…The Lattice Boltzmann method with a single relaxation time (SRT) [13,14] or on multiple relaxation time [15,21] is a numerical approach applicable in various fields such as chemistry, biology, medicine etc [22,26] and very applicable in the domain of physics and specifically in the fluid flow and heat transfer fields. Numerous research and numerical and experimental studies have been carried out in this direction.…”

Section: Numerical Schemementioning

confidence: 99%

Effect of a Flat Plate on Drag Force Reduction and Heat Transfer Characteristics Around Three Heated Square Obstacles

Admi¹,

Lahmer²,

Moussaoui³

et al. 2022

J. Phys.: Conf. Ser.

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In this research, a numerical investigation is performed to simulate the fluid flow and the isotherms lines around three square cylinders placed side-by-side vertically and equally spaced in a bidimensionnel horizontal channel controlled by a flat plate at a fixed Reynolds number (Re = 100). The numerical approach used is the double multiple relaxation time of the lattice Boltzmann method (DMRT-LBM). The objective of the inclusion of the plate is to control the vortex shedding and improve the characteristics of the heat transfer around the squares cylinders. The numerical code is validated with the numerical and experimental results existing in the literature for flow past around a square cylinder with and without a control device. The impact of the length of a flat plate on the streamlines, the isotherms lines and the drag force are presented. The results obtained show the inclusion of the plate decreases the drag force and increases the thermal exchange.

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Section: Numerical Schemementioning

confidence: 99%

Effect of a Flat Plate on Drag Force Reduction and Heat Transfer Characteristics Around Three Heated Square Obstacles

Admi¹,

Lahmer²,

Moussaoui³

et al. 2022

J. Phys.: Conf. Ser.

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“…The advantage of Eulerian framework is principally the absence of a deformable mesh. Moreover, interest in the LBM for the simulation based on medical imaging data [30] and biological phenomena [31] has been highlighted. It appears that the use of the LBM framework allows for the simulation of various problems based on what constitutes raw data in many biomedical applications, i.e., medical images.…”

Section: The Need For a Lbm For Solidsmentioning

confidence: 99%

Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials

et al. 2022

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This work presents a novel method for simulating the behavior of solid objects with the Lattice Boltzmann Method (LBM). To introduce and validate our proposed framework, comparative studies are performed for computing the static equilibrium of isotropic materials. Remembering that the LBM has strong theoretical foundations in the Boltzmann equation; this latter is firstly adjusted to solid motions, through its Boltzmann-Vlasov special case. This is indeed the case when combined with a suitable mean-field external force term to set a reliable solid framework. Secondly, a library is built and plugged on the top of the well-known Parallel Lattice Boltzmann Solver (PaLaBoS) library. Numerical implementations based on the previous equation of motion for solids are led in a non-intrusive manner so as to present results with an easy and flawless reproducibility. A newly designed Lattice Boltzmann Method for Solids (LBMS) is exhibited through a few key algorithms, showing the overall operation plus the major improvements. Efficiency, robustness and accuracy of the proposed approach are illustrated and contrasted with a commercial Finite Element Analysis (FEA) software. The obtained results reveal considerable potential concerning static and further dynamic simulations involving solid constitutive laws within the LBM formalism.

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“…Its popularity is due to the simplicity of the involved numerical operations, their locality -ensuring excellent portability to parallel computing architectures -and the relative ease at which complex geometries can be treated [1]. These strengths combined with its ability to model mechano-biological phenomena [2,3], make the LBM a method of choice for the bio-medical community [4,5,6,7,8,9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

Simulation of the FDA Nozzle Benchmark: A Lattice Boltzmann Study

Huang¹,

Noël²,

Berg³

et al. 2022

Preprint

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Background and objective: Contrary to flows in small intracranial vessels, many blood flow configurations such as those found in aortic vessels and aneurysms involve larger Reynolds numbers and, therefore, transitional or turbulent conditions. Dealing with such systems require both robust and efficient numerical methods. Methods:We assess here the performance of a lattice Boltzmann solver with full Hermite expansion of the equilibrium and central Hermite moments collision operator at higher Reynolds numbers, especially for under-resolved simulations.To that end the food and drug administration's benchmark nozzle is considered at three different Reynolds numbers covering all regimes: 1) laminar at a Reynolds number of 500, 2) transitional at a Reynolds number of 3500, and 3) low-level turbulence at a Reynolds number of 6500. Results:The lattice Boltzmann results are compared with previously published inter-laboratory experimental data obtained by particle image velocimetry. Our results show good agreement with the experimental measurements throughout the nozzle, demonstrating the good performance of the solver even in under-resolved simulations. Conclusion:In this manner, fast but sufficiently accurate numerical predictions can be achieved for flow configurations of practical interest regarding medical applications.

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Lattice Boltzmann method for modelling of biological phenomena

Cited by 7 publications

References 25 publications

Effect of a Flat Plate on Drag Force Reduction and Heat Transfer Characteristics Around Three Heated Square Obstacles

Effect of a Flat Plate on Drag Force Reduction and Heat Transfer Characteristics Around Three Heated Square Obstacles

Toward a Lattice Boltzmann Method for Solids—Application to Static Equilibrium of Isotropic Materials

Simulation of the FDA Nozzle Benchmark: A Lattice Boltzmann Study

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