Progress in particle-based multiscale and hybrid methods for flow applications

Teschner, Tom-Robin; Könözsy, László; Jenkins, Karl W.

doi:10.1007/s10404-016-1729-y

Cited by 22 publications

(18 citation statements)

References 180 publications

(186 reference statements)

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“…A variety of numerical methods exist that differ in their discretisation strategy and come with different challenges. We only provide a brief overview and refer to (Wörner 2012;Teschner et al 2016) for a comprehensive discussion.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous imbibition in a microchannel: analytical solution and assessment of volume of fluid formulations

Pavuluri

Maes

Doster

2018

Microfluid Nanofluid

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The simulation of multi-phase flow at low capillary numbers (Ca) remains a challenge. Approximate computations of the capillary forces tend to induce parasitic currents (PC) around the interface. These PC induce additional viscous dissipation and shear forces that potentially lead to wrong calculations of the general flow dynamics. Here, we focus on the case of spontaneous imbibition in a microchannel of Hele-Shaw cell symmetry with capillarity being the only driving force. We extend the Lucas-Washburn equation to account for arbitrary viscosity ratios and assess four volume-of-fluid (VOF) formulations against the analytical solution. More specifically, we evaluate the continuum surface force (CSF) formulation, the sharp surface force (SSF) formulation, the filtered surface force (FSF) formulation and the piecewise linear interface calculation (PLIC) formulation extended by a higher order discretisation of the interface curvature through a height function with respect to accuracy, performance and heuristic parameters. We quantify PC for each formulation and investigate their impact on flow with Ca < 10 −2. The magnitude of PC are largest for CSF and are reduced two fold by SSF. FSF reduces PC considerably more but shows periodic short bursts in the velocity field. PLIC shows no PC for the studied Ca and viscosity ratios. However, it fails when a denser fluid displaces a lighter fluid. Despite PC, all formulations are accurate within 10%. PLIC is suited to serve as a reference but relies on a structured mesh and is computationally expensive. FSF requires more heuristic parameters. Together with periodic bursts, this prevents a conclusive statement on the best choice between SSF and FSF.

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Section: Introductionmentioning

confidence: 99%

Spontaneous imbibition in a microchannel: analytical solution and assessment of volume of fluid formulations

Pavuluri

Maes

Doster

2018

Microfluid Nanofluid

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“…In this case, L is the antennae diameter. Previous studies [23,24] showed that the no-slip boundary condition fails for 10 23 K n 10 21 , however, others [25] state the transition regime can be given between 10 21 K n 10 1 and flows are classified as free molecular flows when the Knudsen numbers are higher than 10. The K n number in our cases is in the range of 5.7 Â 10 24 to 2.3 Â 10 23 , which suggests that a continuum approach can be applied for both small and large moth antennae.…”

Section: Methodsmentioning

confidence: 97%

Antennal scales improve signal detection efficiency in moths

et al. 2018

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The elaborate bipectinate antennae of male moths are thought to increase their sensitivity to female sex pheromones, and so should be favoured by selection. Yet simple filamentous antennae are the most common structure among moths. The stereotypic arrangements of scales on the surface of antennae may resolve this paradox. We use computational fluid dynamics techniques to model how scales on the filamentous antennae of moths affect the passage of different particles in the airflow across the flagellum in both small and large moths. We found that the scales provide an effective solution to improve the efficacy of filamentous antennae, by increasing the concentration of nanoparticles, which resemble pheromones, around the antennae. The smaller moths have a greater increase in antennal efficiency than larger moths. The scales also divert microparticles, which resemble dust, away from the antennal surface, thereby reducing contamination. The positive correlations between antennal scale angles and sensilla number across Heliozelidae moths are consistent with the predictions of our model.

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“…The Knudsen number ( Kn ), defined as the ratio of the mean free path of the molecules being transported over a characteristic length scale [6], helps to determine whether it is meaningful to use a macroscopic approach. According to Karniadakis et al [7], molecular effects become the dominant transport mechanism in fluid motion when Kn ≥ 10.…”

Section: Introductionmentioning

confidence: 99%

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

Drawert

Jacob

et al. 2019

Journal of Computational Physics

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We have developed a new algorithm which merges discrete stochastic simulation, using the spatial stochastic simulation algorithm (sSSA), with the particle based fluid dynamics simulation framework of smoothed dissipative particle dynamics (SDPD). This hybrid algorithm enables discrete stochastic simulation of spatially resolved chemically reacting systems on a mesh-free dynamic domain with a Lagrangian frame of reference. SDPD combines two popular mesoscopic techniques: smoothed particle hydrodynamics and dissipative particle dynamics (DPD), linking the macroscopic and mesoscopic hydrodynamics effects of these two methods. We have implemented discrete stochastic simulation using the reaction-diffusion master equations (RDME) formalism, and deterministic reaction-diffusion equations based on the SDPD method. We validate the new method by comparing our results to four canonical models, and demonstrate the versatility of our method by simulating a flow containing a chemical gradient past a yeast cell in a microfluidics chamber.

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Progress in particle-based multiscale and hybrid methods for flow applications

Cited by 22 publications

References 180 publications

Spontaneous imbibition in a microchannel: analytical solution and assessment of volume of fluid formulations

Spontaneous imbibition in a microchannel: analytical solution and assessment of volume of fluid formulations

Antennal scales improve signal detection efficiency in moths

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

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