A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions

被引：16
作者：
Dai, Weizhong [1 ]
Niu, Tianchan [1 ]
机构：
[1] Louisiana Tech Univ, Coll Engn & Sci, Ruston, LA 71272 USA
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 01期
关键词：
Hyperbolic two-step model; Finite difference scheme; Energy estimate; Ultrashort-pulsed laser; Nonlinear interfacial conditions;
D O I：
10.1016/j.nahs.2007.07.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Hyperbolic two-step microscale heat transport equations have attracted attention in thermal analysis of thin metal films exposed to ultrashort-pulsed lasers. Exploration of temperature-dependent thermal properties is absolutely necessary to advance our fundamental understanding of microscale (ultrafast) heat transport. In this article, we develop a finite difference scheme, by obtaining an energy estimate, for solving the hyperbolic two-step model with temperature-dependent thermal properties in a double-layered microscale thin film with nonlinear interfacial conditions irradiated by ultrashort-pulsed lasers. The method is illustrated by investigating the heat transfer in a gold layer on a chromium layer. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：121 / 143
页数：23
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