Numerical study of rising bubbles with path instability using conservative level-set and adaptive mesh refinement

Antepara, Oscar; Balcázar, Néstor; Rigola, Joaquim; Oliva, A.

doi:10.1016/j.compfluid.2019.04.013

Cited by 27 publications

(13 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The numerical algorithms have been implemented in a parallel C++/MPI platform called TermoFluids 52 . Furthermore, the unstructured finite‐volume CLS method has been extensively verified and validated with several results from the literature, including dam‐break, 16 rising bubbles, 16,21,53,54 bubbly flows, 17‐19 droplet collision against a fluid‐fluid interface and droplets bouncing collision, 18 thermocapillary‐driven motion of deformable fluid particles, 13 Taylor bubbles, 55 atomization of a liquid‐gas jet, 56,57 non‐Newtonian two‐phase flow, 58 and mass transfer from bubble swarms 19,20 . Therefore, this research can be considered as a further step in the development of numerical methodologies to solve two‐phase flows on complex geometries, with the aid of a finite‐volume/level‐set method introduced by References 13,16,17,19, and an adaptive tetrahedral‐mesh refinement method proposed in this work.…”

Section: Mathematical Model and Numerical Methodsmentioning

confidence: 57%

“…The newly adapted mesh is obtained from an input mesh through some geometrical manipulations: operations of refinement and coarsening until a maximum level of refinement is achieved. This methodology is a further step to extend our previous work about the development of AMR algorithms on hexahedral meshes 54,56,57,59,60 to tetrahedral meshes for the solution of computational fluid dynamics problems on complex domains.…”

Section: Adaptive Mesh Refinement For Tetrahedral Meshesmentioning

confidence: 99%

See 1 more Smart Citation

Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method

Antepara

Balcázar²,

Oliva

2020

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

SummaryIn this article, we describe a parallel adaptive mesh refinement strategy for two‐phase flows using tetrahedral meshes. The proposed methodology consists of combining a conservative level‐set method with tetrahedral adaptive meshes within a finite volume framework. Our adaptive algorithm applies a cell‐based refinement technique and adapts the mesh according to physics‐based refinement criteria defined by the two‐phase application. The new adapted tetrahedral mesh is obtained from mesh manipulations of an input mesh: operations of refinement and coarsening until a maximum level of refinement is achieved. For the refinement method of tetrahedral elements, geometrical characteristics are taking into consideration to preserve the shape quality of the subdivided elements. The present method is used for the simulation of two‐phase flows, with surface tension, to show the capability and accuracy of 3D adapted tetrahedral grids to bring new numerical research in this context. Finally, the applicability of this approach is shown in the study of the gravity‐driven motion of a single bubble/droplet in a quiescent viscous liquid on regular and complex domains.

show abstract

Section: Mathematical Model and Numerical Methodsmentioning

confidence: 57%

Section: Adaptive Mesh Refinement For Tetrahedral Meshesmentioning

confidence: 99%

Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method

Antepara

Balcázar²,

Oliva

2020

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…Validations, verifications and extensions of the unstructured CLS method without phase change [10,15] have been reported in our previous works, for instance: buoyancy-driven rising bubbles [10,11,9,5,4], thermocapillary-driven motion of droplets [14,6], bubbly flows [13,9,15,16], falling droplets [8], binary droplet collision with bouncing outcome [13], bouncing collision of a droplet against a fluid-fluid interface [13], Taylor bubbles [26,27,4], gas-liquid jets [45], deformation of droplets under shear stresses [2,12], non-Newtonian two-phase flow [3], and mass transfer in bubbly flows [15,16,7]. Furthermore, a comparison of the unstructured CLS method [10] and coupled VoF-LS method [12] is reported in [8].…”

Section: Numerical Experimentsmentioning

confidence: 57%

Unstructured Level-Set Method For Saturated Liquid-Vapor Phase Change

Balcázar¹,

Rigola²,

Oliva³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

A novel conservative level-set method for saturated liquid-vapor phase change on unstructured meshes is introduced. Transport equations are discretized by the finite-volume method on collocated unstructured grids. Mass transfer promoted by thermal phase change is computed using the energy jump condition at the interface, as a function of the temperature gradient. The fractional-step projection method is used for solving the pressure-velocity coupling, convective terms are discretized by unstructured flux-limiter schemes, central difference scheme is used for discretization of diffusive terms. Verification and validation cases have been undertaken to prove the accuracy and robustness of the numerical methods, including simulation of the Stefan problem, and film boiling on a cylindrical surface. Excellent agreement between numerical solutions against analytical solution and empirical correlations from the literature is reported.

show abstract

“…3D volume of fluid (VOF) model was employed in Sun et al [5] to understand the dynamic behavior of bubbles that are continuously rising in shear thinning fluid. Direct numerical simulations of rising bubbles with path instabilities at high Reynolds number have been carried out in Antepara et al [6]. Dynamics of drop impact on surfaces are experimentally studied in Unnikrishnan et al [7] at high Weber number.…”

Section: Introductionmentioning

confidence: 99%

“…However, from the above-mentioned literature, it is understood that only four types of experimental and numerical investigations were carried out till date. They are: (1) dynamics of rising bubbles in quiescent liquids as given in Zhang et al [2], Rao et al [4] and Antepara et al [6]; (2) dynamics of drops coalescence as given in Unnikrishnan et al [7], Nobari and Tryggvason [9]; (3) dynamics of rising bubbles in flowing liquids as given in Quan [10], Magnini et al [15] and Abishek et al [18]; and (4) dynamics of liquid drops impacting liquid film as given in Rein [20], Berberovic et al [23] and Liang et al [24]. As per the authors' knowledge, no study has been reported till date on the 3D dynamics of rising bubbles in initially quiescent liquids that are later on disturbed by falling drops.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of rising bubbles in initially quiescent liquids that are later on disturbed by falling drops

Nimmagadda

2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Three-dimensional dynamics of rising bubbles in initially quiescent liquids that are later on disturbed by falling drops has been numerically investigated. The effects of various parameters such as Eotvos number (Eo), Morton number (M), size of the falling drop, single and multiple falling drops on the dynamics of three different cases represented as single bubble rising, inline bubbles rising and offset bubbles rising are investigated. From the results, it is observed that the final bubble rise velocity in disturbed liquid (with Eo = 38.8 and M = 9.71 × 10 −4) due to the impact of falling drop with 0.01 m diameter is increased by 84.21% when compared to the rising bubble in undisturbed quiescent liquid. The same decreases with an increase in the diameter of falling drop up to 0.02 m and 0.03 m, respectively. For inline and offset bubbles, the disturbance caused by the falling drops reduces the final rise velocity by 110% and 113.4%. For Eo = 10.0 and M = 9.71 × 10 −8 , the low fluids internal resistance causes the bubble to rise faster and reach the liquid surface quickly. However, in the case of inline and offset rising bubbles, the bubbles reach the liquid surface even before the falling drop impacts. Keywords Dynamics • Bubbles • Drops • Quiescent • Eotvos • Morton List of symbols D Diameter (m) Eo Eotvos number f Force vector (kg m s −2) g Acceleration due to gravity (m s −2) H Height (m) k Curvature (m −1) L Length (m) M Morton number p Pressure (kg m −1 s −2) Re Reynolds number t Time (s) U Velocity vector (m s −1) W Width (m) Greek symbols α Volume fraction µ Dynamic viscosity (kg m −1 s −1) ρ Density (kg m −3) σ Surface tension (kg s −2) Viscous stress tensor (N m −2) t Turbulent stress tensor (N m −2) Subscripts b Bubble d Drop eq Equivalent g Gas l Liquid r Relative T Terminal z Vertical direction (direction of bubble rise) 1 Lighter fluid (gas) 2 Heavier fluid (liquid) Abbreviations 2D Two-dimensional 3D Three-dimensional VOF Volume of fluid

show abstract

Numerical study of rising bubbles with path instability using conservative level-set and adaptive mesh refinement

Abstract: Portal del coneixement obert de la UPC http://upcommons.upc.edu/e-prints Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista Computers and Fluids.

Cited by 27 publications

References 63 publications

Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method

Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method

Unstructured Level-Set Method For Saturated Liquid-Vapor Phase Change

Dynamics of rising bubbles in initially quiescent liquids that are later on disturbed by falling drops

Contact Info

Product

Resources

About