Some generic capillary-driven flows

Villanueva, Walter; Amberg, Gustav

doi:10.1016/j.ijmultiphaseflow.2006.05.003

Cited by 101 publications

(101 citation statements)

References 13 publications

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“…• Villanueva et al [225] used the parallel adaptive FEM of Cahn-Hilliard/Navier-Stokes system to numerically investigate wetting phenomena in capillary-driven flow during LPS. The model captured qualitatively the important phenomenon in LPS, such as wetting and microstructure behavior, including deformation, coalescence, pore migration, and pore elimination.…”

Section: Finite Element Methodsmentioning

confidence: 99%

Review: liquid phase sintering

2009

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Liquid phase sintering (LPS) is a process for forming high performance, multiple-phase components from powders. It involves sintering under conditions where solid grains coexist with a wetting liquid. Many variants of LPS are applied to a wide range of engineering materials. Example applications for this technology are found in automobile engine connecting rods and high-speed metal cutting inserts. Scientific advances in understanding LPS began in the 1950s. The resulting quantitative process models are now embedded in computer simulations to enable predictions of the sintered component dimensions, microstructure, and properties. However, there are remaining areas in need of research attention. This LPS review, based on over 2,500 publications, outlines what happens when mixed powders are heated to the LPS temperature, with a focus on the densification and microstructure evolution events.

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Section: Finite Element Methodsmentioning

confidence: 99%

Review: liquid phase sintering

2009

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“…The most important physics here is the motion of the contact line, which presents a well-known stress singularity that is conventionally removed by assuming ad hoc conditions such as Navier slip or numerical slip [49,50]. In recent years, the diffuse-interface model has emerged as a promising alternative that offers a more rational approach to this issue [33,[51][52][53].…”

Section: Drop Spreading On Partially Wetting Substratementioning

confidence: 99%

3D phase-field simulations of interfacial dynamics in Newtonian and viscoelastic fluids

Zhou

Yue

Feng

et al. 2010

Journal of Computational Physics

113

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-This work presents a three-dimensional finite-element algorithm, based on the phase-field model, for computing interfacial flows of Newtonian and complex fluids. A 3D adaptive meshing scheme produces fine grid covering the interface and coarse mesh in the bulk. It is key to accurate resolution of the interface at manageable computational costs.The coupled Navier-Stokes and Cahn-Hilliard equations, plus the constitutive equation for non-Newtonian fluids, are solved using second-order implicit time stepping. Within each time step, Newton iteration is used to handle the nonlinearity, and the linear algebraic system is solved by preconditioned Krylov methods. The phase-field model, with a physically diffuse interface, affords the method several advantages in computing interfacial dynamics.One is the ease in simulating topological changes such as interfacial rupture and coalescence.Another is the capability of computing contact line motion without invoking ad hoc slip conditions. As validation of the 3D numerical scheme, we have computed drop deformation in an elongational flow, relaxation of a deformed drop to the spherical shape, and drop spreading on a partially wetting substrate. The results are compared with numerical and experimental results in the literature as well as our own axisymmetric computations where appropriate. Excellent agreement is achieved provided that the 3D interface is adequately resolved by using a sufficiently thin diffuse interface and refined grid. Since our model involves several coupled partial differential equations and we use a fully implicit scheme, the matrix inversion requires a large memory. This puts a limit on the scale of problems that can be simulated in 3D, especially for viscoelastic fluids.

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“…The brief description of the model, presented below, is based on [33] and [39]. The principal concept is outlined in the case of binary fluids, i.e., fluids with two phases, each of them being incompressible, viscous and isothermal.…”

Section: The Cahn-hilliard Equation As a Mathematical Model For Multimentioning

confidence: 99%

Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models

Boyanova

Do-Quang

Neytcheva

2012

Comput. Methods Appl. Math.

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In this work we consider preconditioned iterative solution methods for numerical simulations of multiphase flow problems, modelled by the Cahn-Hilliard equation. We focus on diphasic flows and the construction and efficiency of a preconditioner for the algebraic systems arising from finite element discretizations in space and the -method in time. The preconditioner utilizes to a full extent the algebraic structure of the underlying matrices and exhibits optimal convergence and computational complexity properties. Large scale umerical experiments are included as well as performance comparisons with other solution methods.

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Some generic capillary-driven flows

Cited by 101 publications

References 13 publications

Review: liquid phase sintering

Review: liquid phase sintering

3D phase-field simulations of interfacial dynamics in Newtonian and viscoelastic fluids

Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models

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