Phase-field investigation of microstructure evolution under the influence of convection

Siquieri, R.; Emmerich, Heike

doi:10.1080/14786435.2010.485586

Cited by 17 publications

(6 citation statements)

References 39 publications

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“…The most important areas of application of the phase-field method are solidification processes, especially including phase segregation in binary alloys, and dentritic growth [67,93,198,199,203]. It has also been applied to other scenarios, such as spinodal decomposition -the unmixing of a mixture of liquids or solids - [13], surfactant transport [5,71], or even topology optimization [59].…”

Section: Curvaturementioning

confidence: 99%

Deforming Fluid Domains Within the Finite Element Method: Five Mesh-Based Tracking Methods in Comparison

Elgeti

Sauerland

2015

Arch Computat Methods Eng

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Fluid flow applications can involve a number of coupled problems. One is the simulation of free-surface flows, which require the solution of a free-boundary problem. Within this problem, the governing equations of fluid flow are coupled with a domain deformation approach. This work reviews five of those approaches: interface tracking using a boundary-conforming mesh and, in the interface capturing context, the level-set method, the volume-of-fluid method, particle methods, as well as the phase-field method. The history of each method is presented in combination with the most recent developments in the field. Particularly, the topics of extended finite elements (XFEM) and NURBS-based methods, such as Isogeometric Analysis (IGA), are addressed. For illustration purposes, two applications have been chosen: two-phase flow involving drops or bubbles and sloshing tanks. The challenges of these applications, such as the geometrically correct representation of the free surface or the incorporation of surface tension forces, are discussed.

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Section: Curvaturementioning

confidence: 99%

Deforming Fluid Domains Within the Finite Element Method: Five Mesh-Based Tracking Methods in Comparison

Elgeti

Sauerland

2015

Arch Computat Methods Eng

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“…They showed the importance of employing the so-called "anti-trapping" current developed by Karma [25] in the phase field model in order to produce qualitatively acceptable predictions. Recently, Siquieri et al [26] calculated the shape, using the phase field method, of a freely growing alloy dendrite under isothermal conditions where convection was present.…”

Section: Prmentioning

confidence: 99%

Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach

Guo

Xiong

et al. 2014

Journal of Computational Physics

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Alloy dendritegrowth during solidification with coupled thermal-solute-convection fields has been studied by phase field modeling and simulation.The coupled transport equations were solved using a novel parallel-multigrid numerical approach with high computational efficiency that has enabled the investigation of dendrite growth with realistic alloy values of Lewis number ~ 10 4 and Prandtl number ~ 10 -2 . The detailed dendrite tip shape and character were compared with widely recognized analytical approaches to show validity, and shown to be highly dependent on undercooling, solute concentration and Lewis number. In a relatively low flow velocity regime, variations in the ratio of growth selection parameter with and without convection agreed well with theory.

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“…To describe fluid motion due to the thermocapillary effect in the laser-induced molten pool, Navier-Stokes equations were solved assuming a laminar incompressible flow ( • ⃗⃗ =0) with a velocity field of ⃗⃗. 39 By adding a conservative convection term on the left hand side of Eq. 11, a convection-diffusionsegregation equation is finally derived as,…”

Section: Non-isothermal Phase-field Formulation Of Convection-diffusimentioning

confidence: 99%

Non-isothermal phase-field modelling with thermocapillary convection: Laser-written in-plane SiGe heterostructures for photonic applications

Aktaş¹,

Yamamoto²,

Kaynak³

et al. 2020

Preprint

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Advanced solid-state device applications, including semiconductor lasers, waveguide Bragg gratings, and modulators, require nanoscale engineering of the electronic bandgap and refractive index. Heterostructures, which are semiconductor structures with a position-dependent chemical composition, are building blocks of these devices, enabling control over the carriers and light. However, existing epitaxial growth methods are limited to fabrication of vertical heterostructures between dissimilar semiconductors successively grown layer by layer. Here, we report the use of three dimensional (3D) finite-element-method (FEM)-based non-isothermal phase-field modelling with thermocapillary convection to investigate a new concept for laser inscription of in-plane longitudinal and transverse heterostructures within silicon-germanium (Si1-xGex) alloy thin films. The modelling has been supported by exploratory experimental work using Si0.5Ge0.5 layers epitaxially grown on a silicon substrates. Results of the phase-field simulations reveal that various in-plane SiGe heterostructures and superlattices can be fabricated by controlling the steady-state and transient effects of the laser scanning on phase segregation through modulation of the laser power, scan speed and beam position during solidification of the SiGe epilayers. Optical simulations are used to demonstrate the potential for two new photonic devices based on in-plane SiGe heterostructures written at different scan speeds (1-200 mm s-1): (i) graded-index waveguides with Ge-rich (70%) cores, and (ii) waveguide Bragg gratings with nanoscale periods (Λ=100-500 nm). Periodic heterostructure formation via sub-millisecond modulation of the laser processing parameters opens a route for post-growth fabrication of in-plane quantum wells and superlattices in semiconductor alloy epilayers.

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Phase-field investigation of microstructure evolution under the influence of convection

Cited by 17 publications

References 39 publications

Deforming Fluid Domains Within the Finite Element Method: Five Mesh-Based Tracking Methods in Comparison

Deforming Fluid Domains Within the Finite Element Method: Five Mesh-Based Tracking Methods in Comparison

Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach

Non-isothermal phase-field modelling with thermocapillary convection: Laser-written in-plane SiGe heterostructures for photonic applications

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