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We present a first implementation of the Dendritic Needle Network (DNN) model for dendritic crystal growth in three dimensions including convective transport in the melt. The numerical solving of the Navier-Stokes equations is performed…

Computational Physics · Physics 2020-06-18 Thomas Isensee , Damien Tourret

Gravity-induced buoyancy, inevitable in most solidification processes, substantially alters the dynamics of crystal growth, such that incorporating fluid flow in solidification models is crucial to understand and predict key aspects of…

Materials Science · Physics 2022-08-10 Thomas Isensee , Damien Tourret

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…

Computational Physics · Physics 2020-06-18 Damien Tourret , Laszlo Sturz , Alexandre Viardin , Miha Založnik

In this work, a phase-field model is developed for the dendritic growth with gas bubbles in the solidification of binary alloys. In this model, a total free energy for the complex gas-liquid-dendrite system is proposed through considering…

Fluid Dynamics · Physics 2024-07-03 Chengjie Zhan , Zhenhua Chai , Dongke Sun , Baochang Shi , Shaoning Geng , Ping Jiang

Dendrites are one of the most widely observed patterns in nature and occur across a wide spectrum of physical phenomena. In solidification and growth patterns in metals and crystals, the multi-level branching structures of dendrites pose a…

Numerical Analysis · Mathematics 2022-11-17 Kunal Bhagat , Shiva Rudraraju

Solidification is an important process in many alloy processing routes. The solidified microstructure of alloys is usually made up of dendrites, eutectics or a combination of both. The evolving morphologies are largely determined by the…

Materials Science · Physics 2024-12-17 Marco Seiz , Michael Kellner , Britta Nestler

During the directional solidification of peritectic alloys, two stable solid phases (parent and peritectic) grow competitively into a metastable liquid phase of larger impurity content than either solid phase. When the parent or both solid…

Materials Science · Physics 2009-10-31 Tak Shing Lo , Alain Karma , Mathis Plapp

We simulate dendritic growth in directional solidification in dilute binary alloys using a phase-field model solved with an adaptive-mesh refinement. The spacing of primary branches is examined for a range of thermal gradients and alloy…

Materials Science · Physics 2009-11-10 Michael Greenwood , Mikko Haataja , Nikolas Provatas

Through an integrated macroscale/mesoscale computational model, we investigate the developing shape and grain morphology during the melting and solidification of a weld. In addition to macroscale surface tension driven fluid flow and heat…

Recent solidification experiments identified an oscillatory growth instability during directional solidification of Ni-based superalloy CMSX4 under a given range of cooling rates. From a modeling perspective, the quantitative simulation of…

Materials Science · Physics 2023-06-23 Josep Maria Barbera , Thomas Isensee , Damien Tourret

Understanding rapid solidification behavior at velocities relevant to additive manufacturing (AM) is critical to controlling microstructure selection. Although in-situ visualization of solidification dynamics is now possible, systematic…

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…

Materials Science · Physics 2009-11-07 Jun-Ho Jeong , Nigel Goldenfeld , Jonathan A. Dantzig

In this article, we combine casting experiments and quantitative simulations to present a novel multiscale modeling approach to predict local primary dendritic spacings in metallic alloys solidified in conditions relevant to industrial…

We further develop a recently introduced phase-field model of rapid alloy solidification [Ji et al., PRL 2023]. This model utilizes enhanced solute diffusivity within the spatially diffuse interface region to quantitatively capture solute…

Materials Science · Physics 2025-08-11 Kaihua Ji , Mingwang Zhong , Alain Karma

The aim of this paper is to verify the new numerical implementation of a binary fluid, heat conduction dominated solidification model. First, we extend a semi-analytical solution to the heat diffusion equation, next, the range of its…

Computational Physics · Physics 2015-07-07 Tomasz Waclawczyk , Michael Schaefer

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

This study addresses microstructure selection mechanisms in rapid solidification, specifically targeting the transition from cellular/dendritic to planar interface morphologies under conditions relevant to additive manufacturing. We use a…

We introduce a new phase-field formulation of rapid alloy solidification that quantitatively incorporates nonequilibrium effects at the solid-liquid interface over a very wide range of interface velocities. Simulations identify a new…

Materials Science · Physics 2023-01-16 Kaihua Ji , Elaheh Dorari , Amy J. Clarke , Alain Karma

Based on classical concept, solidification of alloys is a direct transition from liquid phase to solid phase, by which dendrites and dendritic segregation are produced. Through in-situ and real time morphology observation and XRD test…

Materials Science · Physics 2026-05-12 Xiaoping Ma , Dianzhong Li , Zhuo Zhao , Saichao Cao , Donghao Pei , Pei Wang , Yuxi Tao , Paixian Fu , Hongwei Liu , Xiuhong Kang

Laser-based additive manufacturing offers a promising route for 3D printing of metallic parts. We evidence experimentally a particular columnar solidification microstructure in a Laser Powder-Bed Fusion processed Inconel 718 nickel-based…

Materials Science · Physics 2019-01-23 G. Boussinot , M. Apel , J. Zielinski , U. Hecht , J. H. Schleifenbaum
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