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1篇 您的检索式：作者名="Christopher E.Goodyer"

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		题名	作者	年代	出处	被引量
	1	On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions显示文摘A fully implicit numerical method,based upon a combination of adaptively refined hierarchical meshes and geometric multigrid,is presented for the simulation of binary alloy solidification in three space dimensions.The computational techniques are presented for a particular mathematical model,based upon the phase-field approach,however their applicability is of greater generality than for the specific phase-field model used here.In particular,an implicit second order time discretization is combined with the use of second order spatial differences to yield a large nonlinear system of algebraic equations as each time step.It is demonstrated that these equations may be solved reliably and efficiently through the use of a nonlinear multigrid scheme for locally refined grids.In effect this paper presents an extension of earlier research in two space dimensions(J.Comput.Phys.,225(2007),pp.1271–1287)to fully three-dimensional problems.This extension is validated against earlier two-dimensional results and against some of the limited results available in three dimensions,obtained using an explicit scheme.The efficiency of the implicit approach and the multigrid solver are then demonstrated and some sample computational results for the simulation of the growth of dendrite structures are presented.	Christopher E.Goodyer Peter K.Jimack Andrew M.Mullis Hongbiao Dong Yu Xie	2012	Advances in Applied Mathematics and Mechanics2012，4，6：	0

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