Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes

Jenny, Mathieu; Dušek, Ján

doi:10.1016/j.jcp.2003.09.004

Cited by 46 publications

(37 citation statements)

References 14 publications

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“…A very extensive experimental study and a review on the dynamics and wakes for the motion of a sphere in quiescent fluid is provided in [23]. The dynamics of the particle motion are significantly different for heavy and light spheres [23,30]. For very light spheres, these authors report that their results for rigid spheres are in close agreement with literature data for spherical bubbles [72].…”

Section: Introductionsupporting

confidence: 57%

“…It was deducted in [25] that the instability problem with the explicit coupling is related to the added mass effect and instabilities occur when the added mass exceeds the particle mass. For a freely rising sphere (C AM = 0.5), explicit time integration therefore should become unstable for π ρ < 0.5 as it was also derived in [27,30]. For light spheres, the latter authors use implicit time integration of the particle momentum equation and implicit coupling to the fluid phase [29,27,30].…”

Section: Statement Of the Problem Generated By Low Particle Densitiesmentioning

confidence: 95%

“…For a freely rising sphere (C AM = 0.5), explicit time integration therefore should become unstable for π ρ < 0.5 as it was also derived in [27,30]. For light spheres, the latter authors use implicit time integration of the particle momentum equation and implicit coupling to the fluid phase [29,27,30]. More details are provided in Section 3.6 below.…”

Section: Statement Of the Problem Generated By Low Particle Densitiesmentioning

confidence: 96%

“…This assumption holds particularly for spherical bubbles in the regime of dominant surface tension, which is characterized by small Eötvös numbers representing the ratio of buoyancy forces to surface tension forces [8,37]. Methods for non-deformable light particles are for example the fictitious domain method of Apte and Finn [3], as well as 'added mass based methods' for a single particle in an unbounded domain [44,30]. The latter employ a reference frame which moves with the particle and allows for body-fitted grid and accurate spatial discretization.…”

Section: Introductionmentioning

confidence: 99%

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A temporal discretization scheme to compute the motion of light particles in viscous flows by an immersed boundary method

Schwarz

Kempe

Fröhlich

2015

Journal of Computational Physics

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Section: Introductionsupporting

confidence: 57%

Section: Statement Of the Problem Generated By Low Particle Densitiesmentioning

confidence: 95%

Section: Statement Of the Problem Generated By Low Particle Densitiesmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A temporal discretization scheme to compute the motion of light particles in viscous flows by an immersed boundary method

Schwarz

Kempe

Fröhlich

2015

Journal of Computational Physics

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“…In the case of a falling sphere, the translation and angular velocity (u and Ω) obey the motion equations [11]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Fluid-structure interaction modeling with chimera grids in NSMB

et al. 2014

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Abstract. The paper presents the last few years of research at ICUBE, Team MECAFLU in the "Instabilité, Turbulence, Diphasique" group on the simulations of fluid-structure interactions applied to falling bodies using the NSMB solver. The first part of the study was devoted to the numerical study of a sphere falling in a vertical tube filled with a Poiseuille flow. Then the NSMB software has been extended to be able to take into account multiple moving bodies and the cases of two 2D cylinders falling in free air have been investigated. To prevent the collision of the two cylinders which is not consistent with the chimera method, an elastic shock has been implemented.Résumé. Ce papier présente les résultats de ces dernières années de recherche à ICUBE, dans l'équipe MECAFLU au sein du groupe "Instabilité, Turbulence, diphasique" sur les simulations des interactions fluide-structure appliquées à la chute des corps en utilisant le solveur NSMB. La première partie de l'étude a été consacrée à l'étude numérique d'une sphère en chute libre dans un tube vertical. Puis le solver NSMB a été étendu pour être en mesure de prendre en compte plusieurs corps en mouvement et les cas de deux cylindres 2D chute libre ont été étudiés. Pour éviter la collision des deux cylindres qui n'est pas possible avec la méthode chimère, un choc élastique a été mis en oeuvre.

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Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

et al. 2021

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In this study, the dynamic response of a neutrally buoyant elliptical cylinder is investigated for a two‐dimensional shear flow over a wide range of aspect ratios (rb/ra, where, ra and rb0.25em are the major and minor axis radii, respectively). Parametric studies were carried out for confinement ratios (k=2ra/H) that vary the distance between the particle and the domain walls (H) for shear‐rate (G) based Reynolds number ()italicRe=ra2Gρf/μf. The simulations were performed using the signed distance field‐immersed boundary method (SDFIBM) algorithm implemented in OpenFOAM. The motion of the particle is limited to free rotation about the z axis through the centroid without any translational freedom. This work demonstrates and affirms two distinct responses of the elliptical particle in shear flow: (1) a periodical rotating stage that exhibits a relaxation type of response and (2) a spontaneously locked stationary stage, where the net torque becomes zero. A critical Reynolds number (Recr) demarcates the transition between these two stages, and it depends on aspect ratio and confinement ratio. The prediction of Recr was found to be in excellent agreement with the experimentally reported data in the literature, validating the SDFIBM for particles subjected to shear flows.

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Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes

Cited by 46 publications

References 14 publications

A temporal discretization scheme to compute the motion of light particles in viscous flows by an immersed boundary method

A temporal discretization scheme to compute the motion of light particles in viscous flows by an immersed boundary method

Fluid-structure interaction modeling with chimera grids in NSMB

Further contributions to the dynamics of a freely rotating elliptical particle in shear flow

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