δ-mapping algorithm coupled with WENO reconstruction for nonlinear elasticity in heterogeneous media

被引：7
作者：
Xu, Zhenli
Zhang, Peng [1 ]
Liu, Ruxun
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2007年 / 57卷 / 01期
基金：
中国国家自然科学基金;
关键词：
delta-mapping algorithm; WENO reconstruction; nonlinear elastic waves; layered media;
D O I：
10.1016/j.apnum.2006.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A newly proposed delta-mapping algorithm is extended to solve compressional elastic wave propagation in nonlinear heteroge-neous media, which is characterized by spatially varying flux functions. The algorithm is coupled with the weighted essentially non-oscillatory (WENO) reconstruction so that the property of high-accuracy is preserved. Without the delta-mapping procedure, in contrast, the direct application of the WENO scheme is indicated to be deficient. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：103 / 116
页数：14
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