Modelling Merging and Fragmentation in Multiphase Flows with SURFER

Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi

doi:10.1006/jcph.1994.1123

Cited by 928 publications

(716 citation statements)

References 4 publications

Supporting

Mentioning

686

Contrasting

Unclassified

Order By: Relevance

“…Some studies [2,14,15] have successfully adapted the front-tracking approaches discussed above to the modeling of three-dimensional bubble dynamics. However, the solution methodologies are quite complex and computationally intensive.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Grid Front-Tracking Algorithm for Solidification Problems, Part I: Method and Validation

Garimella

Simpson

2003

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

This paper presents a method for solving moving boundary problems associated with phase-change. This method is an explicit interface-tracking scheme that involves the reconstruction and advection of the moving interface on a fixed grid. Three distinct steps are undertaken to handle the movement of the interface: advection and reconstruction (tracking); calculation of normal velocities; and the solution of the governing equations for different phases.Details of each step and its implementation is provided. The transient heat diffusion equation in two space dimensions is the governing equation for energy transport. In order to validate the approach, results obtained from the front tracking scheme are compared with exact analytical solutions for melting problems in Cartesian and cylindrical coordinates. It is shown that the numerical and analytical results are in excellent agreement. Finally, problems involving the multi-dimensional solidification of a pure aluminum ingot subject to bi-directional heat extraction are presented. The results indicate that the algorithm was able to accurately track the front under these aggressive conditions which caused large curvature. In Part II, the front-tracking approach described herein is applied to directional solidification problems influenced by melt convection.

show abstract

Section: Introductionmentioning

confidence: 99%

Fixed-Grid Front-Tracking Algorithm for Solidification Problems, Part I: Method and Validation

Garimella

Simpson

2003

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

show abstract

“…As the interface curvature which is used to predict the surface tension effects, is the divergence of the normal vector, any inaccuracy in calculating the normal vector intensively appears in the curvature. A common consequence of a non-precise prediction of the surface tension effects is the formation of a set of spurious vortical flows, see [12]. Hence, a surface method is often recommended when the surface tension effects is involved in the problem.…”

Section: An Overview On the Numerical Techniques For Simulating The Imentioning

confidence: 99%

“…By solving the equation (12) in a time interval ∆t, the local value of ϕ increases by (∆t)u n times the value of its local gradient. In order to solve an Eikonal equation of the form |∇ϕ| = 1, one can follow a pseudo-time stepping approach and solve an equation of the form of the equation (12) with u n = 1 and an additional source term 1 as,…”

Section: Level Set Re-initialization Equationmentioning

confidence: 99%

Level Set Method for Simulating the Interface Kinematics: Application of a Discontinuous Galerkin Method

Mousavi¹,

Kummer²,

Oberlack³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

show abstract

“…Several methods are available for tracking the interface motion, such as tracking methods (Lagrangian methods), including moving-mesh, front tracking [40], boundary integral [41] and particle schemes; and capturing methods (Eulerian methods), including volume tracking [42][43][44][45][46], volume-offluid (VOF) [30], continuum convection, level set [47] and phase field. Each of these methods has its advantages and disadvantages.…”

Section: Governing Equations Of Interface Motionmentioning

confidence: 99%

Numerical analysis of the hydrodynamic behaviour of immiscible metallic alloys in twin-screw rheomixing process

2006

View full text Add to dashboard Cite

A numerical analysis by a VOF method is presented for studying the hydrodynamic mechanisms of the rheomixing process by a twin-screw extruder (TSE). The simplified flow field is established based on a systematic analysis of flow features of immiscible alloys in TSE rheomixing process. The studies focus on the fundamental microstructure mechanisms of rheological behaviour in shear-induced turbulent flows. It is noted that the microstructure of immiscible alloys in the mixing process is strongly influenced by the interaction between droplets, which is controlled by shearing forces, viscosity ratio, turbulence, and shearing time. The numerical results show a good qualitative agreement with the experimental results, and are useful for further optimisation design of prototypical rheomixing processes.

show abstract

Modelling Merging and Fragmentation in Multiphase Flows with SURFER

Cited by 928 publications

References 4 publications

Fixed-Grid Front-Tracking Algorithm for Solidification Problems, Part I: Method and Validation

Fixed-Grid Front-Tracking Algorithm for Solidification Problems, Part I: Method and Validation

Level Set Method for Simulating the Interface Kinematics: Application of a Discontinuous Galerkin Method

Numerical analysis of the hydrodynamic behaviour of immiscible metallic alloys in twin-screw rheomixing process

Contact Info

Product

Resources

About