A finite difference approach with velocity interfacial conditions for   multiscale computations of crystalline solids

doi:10.1016/j.jcp.2007.12.012

CORC > 北京大学 > 工学院

	A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids
	Tang, Shaoqiang
刊名	计算物理学杂志
	2008
关键词	multiscale method interfacial condition finite difference nonlinearity NONREFLECTING BOUNDARY-CONDITIONS BRIDGING SCALE LENGTH SCALES CONTINUUM SIMULATIONS SCATTERING FRACTURE WAVES MODEL
DOI	10.1016/j.jcp.2007.12.012
英文摘要	We propose a class of velocity interfacial conditions and formulate a finite difference approach for multiscale computations of crystalline solids with relatively strong nonlinearity and large deformation. Full atomistic computations are performed in a selected small subdomain only. With a coarse grid cast over the whole domain and the coarse scale dynamics computed by finite difference schemes, we perform a fast average of the fine scale solution in the atomistic subdomain to force agreement between scales. During each coarse scale time step, we adopt a linear wave approximation around the interface, with the wave speed updated using the coarse grid information. We then develop a class of velocity interfacial conditions with different order of accuracy. The interfacial conditions are straightforward to formulate, easy to implement, and effective for reflection reduction in crystalline solids with strong nonlinearity. The nice features are demonstrated through numerical tests. (C) 2007 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 0; ARTICLE; 8; 4038-4062; 227
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/155022]
专题	工学院
推荐引用方式 GB/T 7714	Tang, Shaoqiang. A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids[J]. 计算物理学杂志,2008.
APA	Tang, Shaoqiang.(2008).A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids.计算物理学杂志.
MLA	Tang, Shaoqiang."A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids".计算物理学杂志 (2008).