Fully resolved simulation of dense suspensions of freely evolving buoyant particles using an improved immersed boundary method

Tavanashad, Vahid; Subramaniam, Shankar

doi:10.1016/j.ijmultiphaseflow.2020.103396

Cited by 11 publications

(7 citation statements)

References 87 publications

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“…For spherical particles, Schwarz et al propose to use = 0.5 referring to the added mass coefficient of submerged spheres 45 . In our case, values of 0.5 or 1 were found to be suitable, which also satisfy the condition of a lower limit recently reported by Tavanashad et al 58 .…”

Section: Virtual Mass Correction For the Lbmsupporting

confidence: 89%

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Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids

Werner¹,

Rettinger²,

Rüde³

2021

Preprint

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The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice Boltzmann method using adaptive grid refinement to improve numerical efficiency. The coupling with the particles is realized with the momentum exchange method. When implemented in plain form, instabilities may arise in the coupling when the particles are lighter than the fluid. The algorithm can be stabilized with a virtual mass correction specifically developed for the Lattice Boltzmann method. The method is analyzed for a wide set of physically relevant regimes, varying independently the body-to-fluid density ratio and the relative magnitude of inertial and viscous effects. These studies of a single rising particle exhibit periodic regimes of particle motion as well as chaotic behavior, as previously reported in the literature. The new method is carefully compared with available experimental and numerical results. This serves to validate the presented new coupled Lattice Boltzmann method and additionally it leads to new physical insight for some of the parameter settings.

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Section: Virtual Mass Correction For the Lbmsupporting

confidence: 89%

“…In a recent work, Tavanashad et al 58 discussed the constant more extensively and established a lower positive limit for , depending on the density ratio and the added mass coefficient. Our choice of is in line with this limit.…”

Section: Discussionmentioning

confidence: 99%

Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids

Werner¹,

Rettinger²,

Rüde³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…For spherical particles, Schwarz et al propose to use C v = 0.5 referring to the added mass coefficient of submerged spheres. 45 In our case, values of 0.5 or 1 were found to be suitable, which also satisfy the condition of a lower limit recently reported by Tavanashad et al 59 In Equation ( 17) the derivative of the translational particle velocity appears on either side of the equation. Physically, this is well justified, as the effect induced by the virtual mass should be exactly suppressed by the counteracting force.…”

supporting

confidence: 83%

“…These arguments will be revisited in Section 5, where the VM-MEM-LBM again serves to simulate a sphere at p = 0.001 and results are compared to literature. In a recent work, Tavanashad et al 59 discussed the constant C v more extensively and established a lower positive limit for C v , depending on the density ratio and the added mass coefficient. Our choice of C v is in line with this limit.…”

Section: Discussionmentioning

confidence: 99%

Coupling fully resolved light particles with the lattice Boltzmann method on adaptively refined grids

Werner

Rettinger

Rüde

2021

Numerical Methods in Fluids

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The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel lattice Boltzmann method using adaptive grid refinement to improve numerical efficiency. The coupling with the particles is realized with the momentum exchange method.When implemented in plain form, instabilities may arise in the coupling when the particles are lighter than the fluid. The algorithm can be stabilized with a virtual mass correction specifically developed for the lattice Boltzmann method.The method is analyzed for a wide set of physically relevant regimes, varying independently the body-to-fluid density ratio and the relative magnitude of inertial and viscous effects. These studies of a single rising particle exhibit periodic regimes of particle motion as well as chaotic behavior, as previously reported in the literature. The new coupled lattice Boltzmann method is compared with available experimental and numerical results. This serves to validate the presented method and additionally it leads to new physical insight for some of the parameter settings.

show abstract

“…Most recently, Tavanashad and Subramaniam [31] proposed a FR-DNSbased drag law for buoyant particle suspensions which are a good approximation to spherical bubbles in contaminated liquid [32][33][34]. They showed that with proper scaling, the drag of buoyant particles is comparable with the drag of bubbles in clean liquid [35,36].…”

Section: Introductionmentioning

confidence: 99%

Particle-resolved simulation of freely evolving particle suspensions: Flow physics and modeling

Tavanashad,

Passalacqua,

Subramaniam

2020

Preprint

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The objective of this study is to understand the dynamics of freely evolving particle suspensions over a wide range of particle-to-fluid density ratios. The dynamics of particle suspensions are characterized by the average momentum equation, where the dominant contribution to the average momentum transfer between particles and fluid is the average drag force. In this study, the average drag force is quantified using fully-resolved direct numerical simulation in a canonical problem: a statistically homogeneous suspension where an imposed mean pressure gradient establishes a steady mean slip velocity between the phases. The effects of particle velocity fluctuations, clustering, and mobility of particles are studied separately. It is shown that the competing effects of these factors could decrease, increase, or keep constant the drag of freely evolving suspensions in comparison to fixed beds at different flow conditions. It is also shown that the effects of clustering and particle velocity fluctuations are not independent. Finally, a correlation for interphase drag force in terms of volume fraction, Reynolds number, and density ratio is proposed. Two different approaches (symbolic regression and predefined functional forms) are used to develop the drag correlation. Since this drag correlation has been inferred from simulations of particle suspensions, it includes the effect of the motion of ⋆

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Fully resolved simulation of dense suspensions of freely evolving buoyant particles using an improved immersed boundary method

Cited by 11 publications

References 87 publications

Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids

Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids

Coupling fully resolved light particles with the lattice Boltzmann method on adaptively refined grids

Particle-resolved simulation of freely evolving particle suspensions: Flow physics and modeling

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