Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

被引：3

作者：

Fang, Ming ^{[1
,2
]}

Wang, Xianming ^{[3
,4
]}

Li, Zhihui ^{[1
]}

Tang, Shaoqiang ^{[2
]}

机构：

[1] China Aerodynam Res & Dev Ctr, Hyperveloc Aerodynam Inst, Mianyang 621000, Sichuan, Peoples R China

[2] Peking Univ, Coll Engn, HEDPS CAPT & LTCS, Beijing 100871, Peoples R China

[3] Tsinghua Univ, Ctr Combust Energy, Beijing 100084, Peoples R China

[4] Tsinghua Univ, Dept Thermal Engn, Beijing 100084, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2013年 / 5卷 / 03期

关键词：

Body-centered-cubic (BCC) crystalline solids; dispersion relation; matching boundary condition; reflection coefficient; scalar waves; MOLECULAR-DYNAMICS SIMULATION; CRYSTALLINE SOLIDS; MULTISCALE COMPUTATIONS; INTERFACIAL CONDITIONS; DISLOCATION; TEMPERATURE; EQUATIONS;

D O I：

10.4208/aamm.12-m1264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Matching boundary conditions (MBC's) are proposed to treat scalar waves in the body-centered-cubic lattices. By matching the dispersion relation, we construct MBC's for normal incidence and incidence with an angle alpha. Multiplication of MBC operators then leads to multi-directional absorbing boundary conditions. The effectiveness are illustrated by the reflection coefficient analysis and wave packet tests. In particular, the designed M1M1 treats the scalar waves in a satisfactory manner.

引用

页码：337 / 350

页数：14

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