A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification

被引：78

作者：

Rosam, J. ^{[1
,2
]}

Jimack, P. K. ^{[2
]}

Mullis, A. ^{[1
]}

机构：

[1] Univ Leeds, Inst Mat Res, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Leeds, Sch Comp, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 225卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

phase-field simulation; binary alloys; mesh adaptivity; fully implicit method; nonlinear multigrid; variable time step control;

D O I：

10.1016/j.jcp.2007.01.027

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A fully implicit numerical method based upon adaptively refined meshes for the simulation of binary alloy solidification in 2D is presented. In addition we combine a second-order fully implicit time discretisation scheme with variable step size control to obtain an adaptive time and space discretisation method. The superiority of this method, compared to widely used fully explicit methods, with respect to CPU time and accuracy, is shown. Due to the high nonlinearity of the governing equations a robust and fast solver for systems of nonlinear algebraic equations is needed to solve the intermediate approximations per time step. We use a nonlinear multigrid solver which shows almost h-independent convergence behaviour. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1271 / 1287

页数：17

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