Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Abas, Aizat; Mokhtar, N. Hafizah; Ishak, M. H. H.; Abdullah, M. Z.; Tian, Ang Ho

doi:10.1155/2016/6143126

Cited by 11 publications

(7 citation statements)

References 71 publications

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“…Careful comparison and mutual validation of those two methods have been done previously. 14,34 Despite that FVM and LBM are using different mathematical frames, highlyaccurate simulation results always require long period of computational time. For FVM, this means highlyaccurate mathematical scheme, large number of computational cells and complicated fluid models.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, as an alternative to FVM, LBM is also applied for haemodynamic simulations. [14][15][16] Previous comparison of LBM and FVM in the haemodynamic simulation of a bifurcation in abdominal arteries confirmed that LBM is able to deliver comparable accurate results with less computational cost. Furthermore, the lattice generation process is much easier than FVM grid generation.…”

Section: Introductionmentioning

confidence: 87%

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Comparison of LBM and FVM in the estimation of LAD stenosis

Liu

Zhu

et al. 2021

Proc Inst Mech Eng H

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The finite volume method (FVM)-based computational fluid dynamics (CFD) technology has been applied in the non-invasive diagnosis of coronary artery stenosis. Nonetheless, FVM is a time-consuming process. In addition to FVM, the lattice Boltzmann method (LBM) is used in fluid flow simulation. Unlike FVM solving the Navier–Stokes equations, LBM directly solves the simplified Boltzmann equation, thus saving computational time. In this study, 12 patients with left anterior descending (LAD) stenosis, diagnosed by CTA, are analysed using FVM and LBM. The velocities, pressures, and wall shear stress (WSS) predicted using FVM and LBM for each patient is compared. In particular, the ratio of the average and maximum speed at the stenotic part characterising the degree of stenosis is compared. Finally, the golden standard of LAD stenosis, invasive fractional flow reserve (FFR), is applied to justify the simulation results. Our results show that LBM and FVM are consistent in blood flow simulation. In the region with a high degree of stenosis, the local flow patterns in those two solvers are slightly different, resulting in minor differences in local WSS estimation and blood speed ratio estimation. Notably, these differences do not result in an inconsistent estimation. Comparison with invasive FFR shows that, in most cases, the non-invasive diagnosis is consistent with FFR measurements. However, in some cases, the non-invasive diagnosis either underestimates or overestimates the degree of stenosis. This deviation is caused by the difference between physiological and simulation conditions that remains the biggest challenge faced by all CFD-based non-invasive diagnostic methods.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 87%

Comparison of LBM and FVM in the estimation of LAD stenosis

Liu

Zhu

et al. 2021

Proc Inst Mech Eng H

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“…Applications of the LBM are now found in a wide range of disciplines including physics, chemistry, materials, biomedicine and various branches of engineering. Xia et al (2017) used LBM for modeling viscoacoustic wave propagation, Abas et al (2016) simulates and predicts the laminar flow inside the 3D aneurysm geometry, van den Akker (2018) present review about the Lattice Boltzmann simulations for multi-scale chemical engineering, Svyetlichnyy et al (2018) modeling of additive layer manufacturing. The dendritic growth during solidification of Al-Cu alloys under forced and natural convection was simulated by Eshraghi et al (2017).…”

Section: Hybrid Lattice Boltzmann Methods and Cellular Automata Model...mentioning

confidence: 99%

“…Applications of the LBM are now found in a wide range of disciplines including physics, chemistry, materials, biomedicine and various branches of engineering. Xia et al (2017) used LBM for modeling viscoacoustic wave propagation, Abas et al (2016) simulates and predicts Eshraghi et al (2017). LBM simulates the dynamics of "pseudoparticles" constrained to move and collide with each other on a structured lattice, so it can be applied for modeling of different variants of flows involving highly complex, multiply-connected domains, as well as phase transformations in flows.…”

Section: Hybrid Lattice Boltzmann Methods and Cellular Automata Model...mentioning

confidence: 99%

Heat flow model based on lattice Boltzmann method for modeling of heat transfer during phase transformation

Łach

Svyetlichnyy

Straka

2019

HFF

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Purpose A fundamental principle of materials engineering is that the microstructure of a material controls the properties. The phase transformation is an important phenomenon that determines the final microstructure. Recently, many analytical and numerical methods were used for modeling of phase transformation, but some limitations can be seen in relation to the choice of the shape of growing grains, introduction of varying grain growth rate and modeling of diffusion phenomena. There are also only few comprehensive studies that combine the final microstructure with the actual conditions of its formation. Therefore, the objective of the work is a development of a new hybrid model based on lattice Boltzmann method (LBM) and cellular automata (CA) for modeling of the diffusional phase transformations. The model has a modular structure and simulates three basic phenomena: carbon diffusion, heat flow and phase transformation. The purpose of this study is to develop a model of heat flow with consideration of enthalpy of transformation as one of the most important parts of the proposed new hybrid model. This is one of the stages in the development of the complex model, and the obtained results will be used in a combined solution of heat flow and carbon diffusion during the modeling of diffusion phase transformations. Design/methodology/approach Different values of overheating/overcooling affect different values in the enthalpy of transformation and thus the rate of transformation. CA and LBM are used in the hybrid model in part related to heat flow. LBM is used for modeling of heat flow, while CA is used for modeling of the microstructure evolution during the phase transformation. Findings The use of LBM and CA in one numerical solution creates completely new possibilities for modeling of phase transformations. CA and LBM in comparison with commonly used approaches significantly simplify interface and interaction between different parts of the model, which operates in a common domain. The CA can be used practically for all possible processes that consist of nucleation and grains growth. The advantages of the LBM method can be well used for the simulation of heat flow during the transformation, which is confirmed by numerical results. Practical implications The developed heat flow model will be combined with the carbon diffusion model at the next stage of work, and the new complex hybrid model at the final stage will provide new solutions in numerical simulation of phase transformations and will allow comprehensive modeling of the diffusional phase transformations in many processes. Heating, annealing and cooling can be considered. Originality/value The paper presents the developed model of heat flow (temperature module), which is one of the main parts of the new hybrid model devoted to modeling of phase transformation. The model takes into account the enthalpy of transformation, and the connection with the model of microstructure evolution was obtained.

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“…This method is not yet popular for computational hemodynamics and no commercially-available software that uses the lattice Boltzmann equation to analyze hemodynamics of cerebral aneurysms has been established. Only a few authors have reported their experiences with hemodynamic simulation for cerebral aneurysms by applying the lattice Boltzmann equation using their in-house code 24,25 . Their conclusions were that LBM could be considered an alternative solver for computational hemodynamics of cerebral aneurysms.…”

Section: Significance Of Cfd Analysis From Tof-mramentioning

confidence: 99%

Detection of Hemodynamic Characteristics Before Growth in Growing Cerebral Aneurysms by Analyzing Time-of-Flight Magnetic Resonance Angiography Images Alone: Preliminary Results

et al. 2019

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Objective: Cerebral aneurysm growth often precedes rupture. Definite contributors to aneurysm growth have not been determined even by means of recently developed commercially available computational fluid dynamics (CFD) software. We developed an original CFD tool that can analyze data from time-of-flight magnetic resonance angiography (TOF-MRA) prior to growth in the growing aneurysms and investigate possible factors for aneurysm growth in the near future.Methods: We retrospectively reviewed unruptured aneurysms that were treated at our institute because of aneurysm growth (growing group) between April 2013 and March 2017. Stable aneurysms that had demonstrated no growth for more than five years were selected (stable group).TOF-MRA data of these aneurysms were retrospectively converted to three-dimensional vessel geometric data; three hemodynamic indices including streamline, wall shear stress (WSS), and oscillatory shear index were calculated by our original CFD tool using the lattice Boltzmann method to quantitatively compare the two groups.Results: Six growing aneurysms and 6 stable aneurysms were analyzed. Of the 6 growing aneurysms, WSS on the focal aneurysmal sac increased temporally in the vicinity of the constant low WSS area at the peak systolic phase. By contrast, WSS did not increase during any part of the 2 cardiac cycle in three of the six stable aneurysms. The peak values of WSS were significantly different between the two groups.Conclusion: A focal increase in WSS in the peak systolic phase may be a risk factor for aneurysm enlargement in the near future.

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Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem

Cited by 11 publications

References 71 publications

Comparison of LBM and FVM in the estimation of LAD stenosis

Comparison of LBM and FVM in the estimation of LAD stenosis

Heat flow model based on lattice Boltzmann method for modeling of heat transfer during phase transformation

Detection of Hemodynamic Characteristics Before Growth in Growing Cerebral Aneurysms by Analyzing Time-of-Flight Magnetic Resonance Angiography Images Alone: Preliminary Results

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