Simulation of swimming of a flexible filament using the generalized lattice-spring lattice-Boltzmann method

Wu, Tai-Hsien; Guo, Rurng Sheng; He, Guo Wei; Liu, Ying Ming; Qi, Dewei

doi:10.1016/j.jtbi.2014.01.021

Cited by 20 publications

(12 citation statements)

References 27 publications

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“…A lattice-Boltzmann lattice-spring method (LLM) (27,42,(44)(45)(46) combined with the AD is employed. In this method, the LBM is used as a fluid solver to simulate the Navier-Stoke flows, the CGCM (38) is utilized to simulate motion of leukocytes, and the LSM (27) is exploited to mimic the deformation of microvilli while the fluid-solid interactions are treated by IBM.…”

Section: Computation Methodsmentioning

confidence: 99%

Studies of Bending Effects of Microvilli of Leukocyte on Rolling Adhesion

2018

Preprint

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It has been widely acknowledged that further understanding about the cell adhesion (e.g., leukocyte rolling adhesion) can help us gain more knowledge about the causes of relevant diseases and design more effective treatments and diagnoses. Although recent simulation studies considered the deformability of the leukocytes, most of them, however, did not consider the bending deformation of microvilli. In this paper, an advanced leukocyte model based on an immersed boundary lattice-Boltzmann lattice-spring model (LLM) and an adhesive dynamics (AD) is presented in details. The flexural stiffness of microvilli is introduced into the model for simulations of leukocyte rolling adhesion. This innovative model is applied to investigate the influences of bending deformation of microvilli on the process of leukocyte rolling adhesion and the underlying mechanism at different shear rates. It is demonstrated that the bending deformation of microvilli can be influenced by the flexural stiffness of microvilli and shear rates, resulting in the different rolling velocity of leukocytes, number of receptor-ligand bonds, and bond forces. The findings clearly indicate that the bending of microvilli plays a crucial role in the dynamics of leukocyte adhesion.

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Section: Computation Methodsmentioning

confidence: 99%

Studies of Bending Effects of Microvilli of Leukocyte on Rolling Adhesion

2018

Preprint

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“…The lattice Boltzmann method has been a popular numerical method for dynamical coupling between solid and fluid with complex geometrical boundaries ( Rong et al, 2008;Zhu et al, 2011;Qi et al, 2014;Wu et al, 2014 ). In this work, the multiple-relaxationtime lattice Boltzmann method (MRT-LBM) is used to simulate the flow induced by a moving finite-size particle.…”

Section: Methodsmentioning

confidence: 99%

Hydrodynamic force and torque models for a particle moving near a wall at finite particle Reynolds numbers

Zhou

Jin

Tian

et al. 2017

International Journal of Multiphase Flow

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: Models for hydrodynamic force and torque Finite particle Reynolds number Near-wall effect Particle-resolved simulation Sub-grid scale model Eulerian-Lagrangian simulation a b s t r a c t This research work is aimed at proposing models for the hydrodynamic force and torque experienced by a spherical particle moving near a solid wall in a viscous fluid at finite particle Reynolds numbers. Conventional lubrication theory was developed based on the theory of Stokes flow around the particle at vanishing particle Reynolds number. In order to account for the effects of finite particle Reynolds number on the models for hydrodynamic force and torque near a wall, we use four types of simple motions at different particle Reynolds numbers. Using the lattice Boltzmann method and considering the moving boundary conditions, we fully resolve the flow field near the particle and obtain the models for hydrodynamic force and torque as functions of particle Reynolds number and the dimensionless gap between the particle and the wall. The resolution is up to 50 grids per particle diameter. After comparing numerical results of the coefficients with conventional results based on Stokes flow, we propose new models for hydrodynamic force and torque at different particle Reynolds numbers. It is shown that the particle Reynolds number has a significant impact on the models for hydrodynamic force and torque. Furthermore, the models are validated against general motions of a particle and available modeling results from literature. The proposed models could be used as sub-grid scale models where the flows between particle and wall can not be fully resolved, or be used in Lagrangian simulations of particle-laden flows when particles are close to a wall instead of the currently used models for an isolated particle.

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“…A flexible fiber is modeled by the lattice-spring method. In the method, the fiber is discretized as individual particles, which are connected by bonding harmonic elastic springs and angular elastic springs to ensure that three body force is added into model so that it can handle the bending deformation ( Wu et al, 2014 ). Thus, the spring energy U s acted on the i th particle is given by…”

Section: Lattice-spring Modelmentioning

confidence: 99%

“…Wu and Aidun (2010a, 2010b, 2010c took Buxton's spring model in their LB simulation. Subsequently, a threebody force with angular information between two adjunct bonds was added into the lattice-spring model to handle bending deformation by Wu et al (2014) . Other authors such as Duenweg and Ladd (2009) and Basagaoglu et al (2013Basagaoglu et al ( , 2008 also utilized LBM and bead-spring model to simulate the soft materials in flows.…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, both Wu and Aidun (2010a, 2010b, 2010c and Wu et al (2014) used the same forcing term as those by He et al (1998) and Feng and Michaelides (2004) to take account of the interactions between fluids and solid particles. Guo et al (2002) proved that this type forcing (body force) term cannot be operated for an unsteady body force case because the Navier-Stokes equations cannot be entirely recovered due to extra-terms caused by the spatial and temporal variation of the body force and they proposed a new forcing term, which enables the LB equation to recover the Navier-Stokes equations with a second-order accuracy for unsteady, non-uniform body forces.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-flexible fiber flows: A direct-forcing immersed boundary lattice-Boltzmann lattice-spring approach

Tang

et al. 2018

International Journal of Multiphase Flow

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a b s t r a c tWe demonstrate that a lattice-Boltzmann lattice-spring method can be used to simulate a dynamic behavior of a suspension of a large number of flexible fibers in finite Reynolds number flows. In the method, lattice-Boltzmann equation is adopted to simulate fluid velocity and vorticity while lattice-spring model with three-body forces can be employed to model the bending deformation of solid bodies. In order to realize the non-slip boundary condition, a forcing term is simply calculated by using the Newtonian second law and imposed with an immersed boundary scheme. The method is validated by comparing the present results with experiments and existing theories and methods. Subsequently, the method is applied to simulate a dynamic process of flexible fibers settling on a static or moving screen/wire net while a fiber mat is simultaneously built over the screen and resists fluid flowing. The number of fibers, fiber density and flexibility, and ratio of the relative velocity of the screen/wire to fluid can be systematically varied at different levels. Their influences on drainage rate are computed and evaluated.

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Simulation of swimming of a flexible filament using the generalized lattice-spring lattice-Boltzmann method

Cited by 20 publications

References 27 publications

Studies of Bending Effects of Microvilli of Leukocyte on Rolling Adhesion

Studies of Bending Effects of Microvilli of Leukocyte on Rolling Adhesion

Hydrodynamic force and torque models for a particle moving near a wall at finite particle Reynolds numbers

Multi-flexible fiber flows: A direct-forcing immersed boundary lattice-Boltzmann lattice-spring approach

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