Numerical analysis of an isotropic phase-field model with magnetic-field effect

被引：0
|
作者：
Rasheed, Amer [1 ]
Wahab, Abdul [2 ]
机构：
[1] Lahore Univ Management Sci, Sch Sci & Engn, Dept Math, DHA,Opposite Sect U, Lahore Cantt 54792, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Wah Cantt 47040, Pakistan
来源：
COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 03期
关键词：
BINARY ALLOY; DENDRITIC GROWTH; SOLIDIFICATION; CONVECTION;
D O I：
10.1016/j.crma.2014.12.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this letter is to perform the numerical analysis of an isotropic phase-field model for dendritic solidification of a binary alloy subject to an applied magnetic field in an isothermal environment Precisely, the numerical stability and error analysis of a finite-element-based approximation scheme are performed. The particular example of a nickel-copper (Ni-Cu) binary alloy is considered. The study substantiates a good agreement between the numerical and theoretical results. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：219 / 224
页数：6
相关论文
共 50 条
  • [31] Phase-Field Modelling of Solidification Microstructures
    Plapp, Mathis
    JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE, 2016, 96 (03) : 179 - 198
  • [32] Phase-field models in materials science
    Steinbach, Ingo
    MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2009, 17 (07)
  • [33] Numerical investigation of eutectic growth dynamics under convection by 3D phase-field method
    Yang, Qin
    Zhang, Ang
    Jiang, Bin
    Gao, Liang
    Guo, Zhipeng
    Song, Jiangfeng
    Xiong, Shoumei
    Pan, Fusheng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 114 : 83 - 94
  • [34] Phase-Field Simulation of Solidifying Microstructure in the Presence of a Convective Field
    Siquieri, Ricardo
    Emmerich, Heike
    STEEL RESEARCH INTERNATIONAL, 2009, 80 (01) : 9 - 15
  • [35] Coarse graining for the phase-field model of fast phase transitions
    Jou, D.
    Galenko, P. K.
    PHYSICAL REVIEW E, 2013, 88 (04)
  • [36] Sharp phase-field modeling of isotropic solidification with a super efficient spatial resolution
    Michael Fleck
    Felix Schleifer
    Engineering with Computers, 2023, 39 : 1699 - 1709
  • [37] A phase-field model without artificial curvature effect for the crystal growth simulation
    Li, Yibao
    Yu, Qian
    Ham, Seokjun
    Kwak, Soobin
    Lee, Chaeyoung
    Kim, Junseok
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2023, 203
  • [38] Phase-field model of isothermal solidification of binary alloy with multiple grains
    Feng Li
    Wang Zhi-Ping
    Lu Yang
    Zhu Chang-Sheng
    ACTA PHYSICA SINICA, 2008, 57 (02) : 1084 - 1090
  • [39] Sharp phase-field modeling of isotropic solidification with a super efficient spatial resolution
    Fleck, Michael
    Schleifer, Felix
    ENGINEERING WITH COMPUTERS, 2023, 39 (03) : 1699 - 1709
  • [40] GPU accelerated phase-field simulation of convection effect on dendritic growth
    Zhu, Changsheng
    Li, Hao
    Feng, Li
    Xiao, Rongzhen
    Zhang, Hong
    Journal of Computational and Theoretical Nanoscience, 2015, 12 (10) : 3591 - 3597
12345