Smoothed profile method for direct numerical simulations of hydrodynamically interacting particles

Yamamoto, Ryōichi; Molina, John J.; Nakayama, Yasuya

doi:10.1039/d0sm02210a

Cited by 28 publications

(27 citation statements)

References 184 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To simulate the dynamics of a swimming system while fully considering the hydrodynamic interactions, we employ the smoothed profile (SP) method [20]. In this method, all boundaries, including both fluid/solid and fluid/fluid boundaries, are considered to possess a finite interfacial thickness ξ.…”

Section: B Smoothed Profile Methodsmentioning

confidence: 99%

“…The hydrodynamic forces and torques are given by F H i and N H i , F C i represents direct particle-particle interactions (N C i = 0), and F ext i and N ext i are the external forces and torques, respectively. Detailed descriptions of the SP method and its implementation can be found in our earlier publications [20][21][22][23].…”

Section: B Smoothed Profile Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of microswimmers near a soft penetrable interface

Cao¹,

Molina²,

Turner³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

Few simulations exist for microswimmers near deformable interfaces. Here, we present numerical simulations of the hydrodynamic flows associated with a single microswimmer embedded in a binary fluid mixture. The two fluids demix, separated by a penetrable and deformable interface that we assume to be initially prepared in its planar ground-state. We find that the microswimmer can either penetrate the interface, move parallel to it or bounce back off it. We analyze how the trajectory depends on the swimmer type (pusher/puller) and the angle of incidence with respect to the interface. Our simulations are performed in a system with periodic boundary conditions, corresponding to an infinite array of fluid interfaces. A puller reaches a steady state in which it either swims parallel to the interface or selects a perpendicular orientation, repeatedly penetrating through the interface. In contrast, a pusher follows a bouncing trajectory between two interfaces. We discuss several examples in biology in which swimmers penetrate soft interfaces. Our work can be seen as a highly simplified model of such processes.

show abstract

Section: B Smoothed Profile Methodsmentioning

confidence: 99%

Section: B Smoothed Profile Methodsmentioning

confidence: 99%

Dynamics of microswimmers near a soft penetrable interface

Cao¹,

Molina²,

Turner³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Because of this, Lagrangian points are not used, which is a preferable feature from the computational cost perspective; indeed, this massively simplify the numerical scheme and its parallelisation procedure allowing for fast computation and easy migration towards the rapidly growing graphics processing unit (GPU) computations. The method proposed by Kajishima et al [1] is often classified as immersed body method [6], a class of methods which includes among others the so-called smoothed profile method originally developed by Nakayama and Yamamoto [7,8], and later extended by Luo et al [9]. Apart from the IBM, several other techniques have been proposed and used in the past; among those using a fictitious domain approach, techniques worth mentioning are the distributed Lagrange multiplier method first developed by Glowinski et al [10], where the fluid equations are solved in the whole domain and coupled with the particle ones in a monolithic form, the Physalis method developed by Prosperetti and Oguz [11] where the flow near the surface of a particle is represented by the solution of the Stokes flow, assuming that such flow is dominated by viscous forces even at finite Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

An Eulerian-based immersed boundary method for particle suspensions with implicit lubrication model

Hori¹,

Rosti²,

Takagi³

2022

Preprint

View full text Add to dashboard Cite

We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which accounts for the inertia of the fictitious fluid inside the particle volume and is thus able to reproduce the behaviour of particles both in the case of neutrally-buoyant objects and in the presence of density difference between the particles and the fluid. The method is capable to handle the presence of multiple suspended objects, i.e., a suspension, by including a soft-sphere normal collision model, while the lubrication correction typically added to similar immersed boundary methods in order to capture the sub-grid unresolved lubrication force is here treated implicitly, i.e., naturally obtained without any explicit expression, thus no additional computation is required. We show that our methodology can successfully reproduce the rheology of a particle suspension in a shear flow up to a dense regime (with a maximum particle volume fraction around 46%) without any additional correction force. The applicability of this methodology is also tested in a turbulent pressure-driven duct flow at high Reynolds number in the presence of non-negligible inertia and non-uniform shear-rate, showing good agreement with experimental measurements.

show abstract

“…Recently, a discrete element method (DEM) 5) and a smoothed profile method (SPM) 6) are applied to the particle dispersion estimation. However, their computational load is very high and it is difficult to apply to actual processes.…”

Section: Introductionmentioning

confidence: 99%

Dispersion Model of Fine Particles in a Suspension under Ultrasonic Irradiation

Fukushima

Hidema

Suzuki

2022

J. Soc. Rheol., Jpn

View full text Add to dashboard Cite

In this study, a novel statistical model on the ultrasonic irradiation dispersion has been developed. The model on the cluster break-up by ultrasonic irradiation was theoretically established with the ratio of ultrasonic power spent for the cluster break-up. The ultrasonic power was changed in three steps; 20, 40 and 60 W. The model estimation was compared with the experimental results. The experimental results show that the cluster size was found to take a certain asymptotic value for each irradiation power. With this steady state value, the ratio of ultrasonic power spent for the cluster break-up was determined. It was found that the ratio of ultrasonic power spent for the cluster break-up is very small and is proportional to the mean shear rate in the flow. The present model with this ratio was found well to evaluate the time-variation of the mean cluster size. Thus, the present ultrasonic dispersion model was concluded to estimate the effects of ultrasonic irradiation on the fine particle dispersion well.

show abstract

Smoothed profile method for direct numerical simulations of hydrodynamically interacting particles

Abstract: A general method is presented for computing the motions of hydrodynamically interacting particles in various kinds of host fluids for arbitrary Reynolds number. The method follows the standard procedure for...

Cited by 28 publications

References 184 publications

Dynamics of microswimmers near a soft penetrable interface

Dynamics of microswimmers near a soft penetrable interface

An Eulerian-based immersed boundary method for particle suspensions with implicit lubrication model

Dispersion Model of Fine Particles in a Suspension under Ultrasonic Irradiation

Contact Info

Product

Resources

About