Computation of solidification problems with hydrodynamic convection resolving energetic anisotropies at the microscale quantitatively

Siquieri, R.; Emmerich, Heike; Jurgk, Matthias

doi:10.1140/epjst/e2007-00242-4

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…It is also clear that under gravity, natural convection can substantially influence the growth process and the features of the resulting pattern [2,14,[17][18][19]. Numerical simulations of dendritic growth under the influence of convection for a pure substance have been performed in diverse geometries [6,14,19,20] and both with imposed flows and natural convection [2,14,17,19,21,22]. For binary alloys much less has been done [2,14] and many aspects of such processes still have to be investigated.…”

Section: Dendritic Growth Under the Influence Of Convectionmentioning

confidence: 99%

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

Siquieri

Emmerich

2011

Philosophical Magazine

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International audienceNumerical simulation of solidification and crystal growth has attracted industrial attention as a powerful engineering tool for processes and alloy optimization. In this work we present a detailed study of the influence of flow on the microstructure evolution during solidification. First, we include convection effects into an existing quantitative phase-field model [Phys. Rev. E, 70 (2004) 061604] that is meant to simulate dendritic growth of a binary alloy. We apply it to investigate the solidification of a Fe-Mn alloy under external flows conditions. In addition, we present an extension of the quantitative phase-field model of two-phase growth [Phys. Rev. E, (2005) 72 011602] that includes natural and forced convection effects in the melt phase. We use this extension to investigate directional solidification of eutectic lamellae under the influence of convection as well as microstructure formation of peritectic growth in the presence of convection

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Section: Dendritic Growth Under the Influence Of Convectionmentioning

confidence: 99%

“…As part of the optimization/implementation procedure we compute Equation (21) for p and p only and use the fact that p L ¼ 1 À p À p to identify the liquid phase.…”

Section: Description Of the Modelmentioning

confidence: 99%

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

Siquieri

Emmerich

2011

Philosophical Magazine

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“…, 2000; Emmerich, 2009). In particular, it proved to be a very powerful approach for studying front evolution problems – as in growing veins – under multiphysical influences (Emmerich, 2003b; Emmerich & Siquieri, 2006), often accompanied by the formation of several distinct phases (Emmerich & Siquieri, 2006; Siquieri et al. , 2007) or grains of multiple orientations (Assadi, 2004; Hubert & Emmerich, 2005) and interactions of different governing mechanisms over several time and length scales (Emmerich et al.…”

Section: Numerical Implementation Of the Modelmentioning

confidence: 99%

Modelling the evolution of vein microstructure with phase‐field techniques – a first look

Hubert¹,

Emmerich²,

Urai

2009

Journal Metamorphic Geology

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Vein microstructures in the Earth's crust contain a wealth of information on the physical conditions of crystal growth, but correct interpretation requires an improved understanding of the processes involved. In this paper the processes involved in the formation of veins are briefly reviewed, and the possibilities of modelling these processes using the phase-field method are discussed. This technique, which is established in the computational materials science community to investigate crystallization processes, is shown to be a powerful tool to describe processes during vein formation and other geological processes involving crystal growth.

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Phase-field simulation of a Fe-Mn alloy under forced flow conditions

Siquieri

Rezende

Kundin

et al. 2009

Eur. Phys. J. Spec. Top.

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Computation of solidification problems with hydrodynamic convection resolving energetic anisotropies at the microscale quantitatively

Cited by 3 publications

References 31 publications

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

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

Modelling the evolution of vein microstructure with phase‐field techniques – a first look

Phase-field simulation of a Fe-Mn alloy under forced flow conditions

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