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In the present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is derived with the help of the consistency conditions and exactly…

计算物理 · 物理学 2021-11-16 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

A new diffuse interface model has been proposed in this study for simulating binary alloy solidification under universal cooling conditions, involving both equilibrium and non-equilibrium solute partitioning. Starting from the Gibbs-Thomson…

材料科学 · 物理学 2023-09-22 Chuanqi Zhu , Yusuke Seguchi , Masayuki Okugawa , Yuichiro Koizumi

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

统计力学 · 物理学 2014-09-25 Jasna Zelko , Burkhard Duenweg

In the literature, two quite different phase-field formulations for the problem of alloy solidification can be found. In the first, the material in the diffuse interfaces is assumed to be in an intermediate state between solid and liquid,…

材料科学 · 物理学 2011-11-23 Mathis Plapp

We present a quantitative benchmark of multiscale models for dendritic growth simulations. We focus on approaches based on phase-field, dendritic needle network, and grain envelope dynamics. As a first step, we focus on isothermal growth of…

计算物理 · 物理学 2020-06-18 Damien Tourret , Laszlo Sturz , Alexandre Viardin , Miha Založnik

Results are presented from numerical experiments aiming at the computation of stochastic phase-field models for phase transformations by coarse-graining molecular dynamics. The studied phase transformations occur between a solid crystal and…

数值分析 · 数学 2009-08-11 Erik von Schwerin

A thin-interface phase-field model of electrochemical interfaces is developed based on Marcus kinetics for concentrated solutions, and used to simulate dendrite growth during electrodeposition of metals. The model is derived in the grand…

材料科学 · 物理学 2015-07-22 Daniel A. Cogswell

A phase-field model that allows for quantitative simulations of low-speed eutectic and peritectic solidification under typical experimental conditions is developed. Its cornerstone is a smooth free-energy functional, designed so that the…

材料科学 · 物理学 2009-11-11 R. Folch , M. Plapp

We investigate a family of phase field models for simulating dendritic growth of a pure supercooled substance. The central object of interest is the reaction term in the Allen-Cahn equation, which is responsible for spatial distribution of…

计算物理 · 物理学 2021-07-19 Pavel Strachota , Aleš Wodecki , Michal Beneš

This paper proposes a diffuse-interface model for simulating gas-liquid-solid multiphase flows involving solid-liquid phase change, solute transport, and the Marangoni effect. In this model, a phase-field method is employed to capture the…

流体动力学 · 物理学 2025-11-13 Jiangxu Huang , Zhenhua Chai , Xi Liu , Changsheng Huang

The phase-field crystal model is by now widely used in order to predict crystal nucleation and growth. For colloidal solidification with completely overdamped individual particle motion, we show that the phase-field crystal dynamics can be…

软凝聚态物质 · 物理学 2009-05-28 Sven van Teeffelen , Rainer Backofen , Axel Voigt , Hartmut Löwen

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface limit. Convergence tests and comparisons with boundary…

材料科学 · 物理学 2009-11-10 R. Folch , M. Plapp

We develop a phase-field model of eutectic growth that uses three phase fields, admits strictly binary interfaces as stable solutions, and has a smooth free energy functional. We use this model to simulate oscillatory limit cycles in…

材料科学 · 物理学 2007-05-23 R. Folch , M. Plapp

We propose a model of a polycrystalline alloy combining the Potts model for grain orientations with a lattice-gas model for solute thermodynamics and diffusion. The alloy evolution with this model is implemented by kinetic Monte Carlo…

材料科学 · 物理学 2026-02-12 Omar Hussein , Yuri Mishin

In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between…

数值分析 · 数学 2014-12-11 Rahul Sanal

We study the effect of fluid flow on three-dimensional (3D) dendrite growth using a phase-field model on an adaptive finite element grid. In order to simulate 3D fluid flow, we use an averaging method for the flow problem coupled to the…

材料科学 · 物理学 2009-11-07 Jun-Ho Jeong , Nigel Goldenfeld , Jonathan A. Dantzig

Domains of condensed-phase monolayers of chiral molecules exhibit a variety of interesting nonequilibrium structures when formed via pressurization. To model these domain patterns, we add a complex field describing the tilt degree of…

凝聚态物理 · 物理学 2009-10-28 Royce Kam , Herbert Levine

We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

偏微分方程分析 · 数学 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig

We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The thermal compatibility condition, as well as a positive entropy-production property, is derived analytically and…

材料科学 · 物理学 2025-01-23 Maik Punke , Marco Salvalaglio , Axel Voigt , Steven M. Wise

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

材料科学 · 物理学 2011-07-28 Daniel A. Cogswell , W. Craig Carter