Algorithms for phase field computation of the dendritic operating state at large supercoolings
type: Item
instance of: scholarly article
title: Algorithms for phase field computation of the dendritic operating state at large supercoolings
zbMATH Open document ID: 0859.65131
author: Shun-Lien Wang
author: R. F. Sekerka
published in: Journal of Computational Physics
publication date: 1997-04-07T00:00:00Z
review text: This paper deals with numerical solutions of the phase field model of solidification in two dimensions in the context of dendritic growth. Finite difference methods associated with vectorized algorithms are employed to solve the phase field equations. The temperature equation is solved by an alternating direction implicit scheme and the equation for the phase field by an explicit Euler scheme. The authors identify a region of parameter space, namely large supercoolings, where they can compute dendritic morphologies that display steady-state dendrite tip operating conditions that are independent of computational parameters.
reviewed by: Michael Sever
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 82C26
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 938011
zbMATH Keywords: finite difference methods
zbMATH Keywords: explicit Euler scheme
zbMATH Keywords: phase field model
zbMATH Keywords: solidification
zbMATH Keywords: dendritic growth
zbMATH Keywords: temperature equation
zbMATH Keywords: alternating direction implicit scheme
zbMATH Keywords: large supercoolings
MaRDI profile type: Publication
full work available at URL: jcph.1996.0161
OpenAlex ID: W1974878288
DOI: 10.1006/JCPH.1996.0161
description: scientific article; zbMATH DE number 938011