Mesoscopic modeling of equiaxed and columnar solidification microstructures under forced flow and buoyancy-driven flow in hypergravity: Envelope versus phase-field model

Abstract

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Convective effects on columnar dendritic solidification – A multiscale dendritic needle network study

“…In the first two applications of the DNN model, we study the selection of primary dendritic spacing under different gravity conditions. To do so, we consider two independent studies for Al-Cu [29] and Ti-Al [31] alloys. Both studies rely on 2D phase-field simulations using a multi-phase field approach coupled to a Navier-Stokes solver, hence providing a fair quantitative comparison with our 2D DNN simulations results.…”

“…In terms of modeling, the phase-field (PF) method, implicitly tracking the solid-liquid interface, has for decades been the computational method of choice to simulate dendritic growth [25]. Integrating melt flow within PF models has allowed the study of dendrite morphologies under forced [26][27][28] and natural convection [29], and the exploration of the effect of fluid flow on primary spacing in columnar dendritic arrays [29][30][31]. However, simulation domains have for the most part remained limited in size to a handful of primary dendrites.…”

“…We verify the predictions of the DNN model in terms of primary dendrite arm spacings, by comparing them to results of independent PF simulations and experimental data for aluminum-copper [29] (Sec. 3.1) and titanium-aluminum [30,31] (Sec. 3.2) alloys.…”

GPU-Accelerated Cellular Automaton Model for Grain Growth during Directional Solidification of Nickel-Based Superalloy

“…Then, Zhang et al [8] investigated the grain growth and grain selection behavior in a spiral selector for nickelbased superalloy based on the developed CAFD model. Viardin et al [9] developed a In this work, a parallel algorithm was proposed for both 2D and 3D CA model of grain growth using the graphic processing unit (GPU). A mapping strategy between the CA cells and threads on GPU was illustrated.…”

The Morphology and Solute Segregation of Dendrite Growth in Ti-4.5% Al Alloy: A Phase-Field Study

“…Li et al [ 27 ] simulated the growth process of the equiaxed dendrite of Ti-Al alloy under isothermal and non-isothermal conditions, and the results showed that the initial composition and temperature have a great influence on the dendrite morphology and solute distribution, which will cause the dendrite structure to be underdeveloped, and the lower interface composition. Viardin et al [ 28 ] used an envelope phase-field model to simulate the growth of equiaxed dendrite in Ti-45at.% Al alloy under forced convection, and the results showed that the growth of equiaxed dendrite is asymmetric.…”