The Front-Tracking ALE Method: Application to a Model of the Freezing of Cell Suspensions

Jaeger, Marc; Carin, Muriel

doi:10.1006/jcph.2002.7084

Cited by 17 publications

(11 citation statements)

References 43 publications

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“…This, in principle, allowed the calculation of flows involving curved or moving boundaries. For recent work employing these ideas, see [46]. Hirt and Shannon [41] and Nichols and Hirt [64] were concerned with a loss of accuracy on the free surface and suggested an improved treatment for the free surface stress conditions whereby the normal stress was applied on the actual fluid surface rather than on the centre of the surface cells.…”

Section: Background Of the Marker And Cell Methodsmentioning

confidence: 98%

The MAC method

et al. 2008

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Section: Background Of the Marker And Cell Methodsmentioning

confidence: 98%

The MAC method

et al. 2008

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“…Here, front-tracking arbitrary Lagrangian-Eulerian (FTALE) formulation [7] was used for obtaining velocities at such nodes. Figure 5 shows the situation of an interface travelling from left to right.…”

Section: Extrapolation Of Velocitymentioning

confidence: 99%

“…Although the ÿrst strategy seems quite natural since the boundary of the uid domain can be well known, it is limited by the mesh distortion and the contact treatment. The Lagrangian method can be improved by using an arbitrary Lagrangian-Eulerian method [3][4][5][6][7]. However, in complex three-dimensional ow, it is very di cult to determine how to move the boundary meshes.…”

Section: Introductionmentioning

confidence: 99%

Fringe element reconstruction for front tracking for three-dimensional incompressible flow analysis

Choi

Lee

2005

Int. J. Numer. Meth. Fluids

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SUMMARYFringe element reconstruction technique for tracking the free surface in three-dimensional incompressible ow analysis was developed. The ow ÿeld was calculated by the mixed formulation based on a fournode tetrahedral element with a bubble function at the centroid (P1+/P1). Since an Eulerian approach was employed in this study, the ow front interface was advected by the ow through a ÿxed mesh. For accurate modelling of interfacial movement, a fringe element reconstruction method developed can provide not only an accurate treatment of material discontinuity but also surface tension across the interface. The e ect of surface tension was modelled by imposing tensile stress directly on the constructed surface elements at the ow front interface. To verify the numerical approach developed, the developed algorithm was applied to two examples whose solutions are available in references. Good agreement was obtained between the simulation results and these solutions.

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“…Lagrangian or arbitrary Lagrangian-Eulerian formulations generally only mesh the uid phase. While this is topologically challenging for a stationary simulation, transient mapping of the uid phase requires frequent remeshing, limiting these techniques to dilute suspensions [11,12]. More recently, Eulerian methods have been implemented which track the moving particles as they pass through a stationary mesh.…”

Section: Introductionmentioning

confidence: 99%

Microstructure development in concentrated suspensions in a spinning ball rheometer

Grillet

Mondy

2005

Int. J. Numer. Meth. Fluids

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SUMMARYThe spinning ball rheometer has been proposed as a method to measure the microstructure e ect on the bulk rheological properties of concentrated suspensions. Recent experiments have shown that the measured extra torque on the spinning ball decreases as the radius of the spinning ball becomes comparable to the size of the suspended particle. We have performed a series of three-dimensional boundary element calculations of the rheometer geometry to probe the microstructure e ects that contribute to that apparent slip. We present a series of quasi-static results based on random initial conÿgurations as well as fully three-dimensional transient calculations, both of which are compared to the available experimental data. For the two cases, the apparent viscosity decreased as the size of the spinning ball decreased relative to the suspended particle. Comparison of the quasi-static and transient simulations indicates that the microstructure development is critical even at short times. In the transient calculations, the viscosity was observed to increase substantially relative to the torque based on the random initial conÿguration. Published in 2005 by John Wiley & Sons, Ltd.

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The Front-Tracking ALE Method: Application to a Model of the Freezing of Cell Suspensions

Cited by 17 publications

References 43 publications

The MAC method

The MAC method

Fringe element reconstruction for front tracking for three-dimensional incompressible flow analysis

Microstructure development in concentrated suspensions in a spinning ball rheometer

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