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

Published online by Cambridge University Press:  03 June 2015

Ming Fang ,
Xianming Wang ,
Zhihui Li  and
Shaoqiang Tang
Ming Fang*
Affiliation:
Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, Sichuan, China HEDPS, CAPT and LTCS, College of Engineering, Peking University, Beijing 100871, China
Xianming Wang*
Affiliation:
Center for Combustion Energy and Department of Thermal Engineering, Tsinghua University, Beijing 100084, China
Zhihui Li*
Affiliation:
Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, Sichuan, China
Shaoqiang Tang*
Affiliation:
HEDPS, CAPT and LTCS, College of Engineering, Peking University, Beijing 100871, China
*
Email: fangm@pku.edu.cn
Email: wangxianming06@mails.tsinghua.edu.cn
Email: lizhihui@mail.tsinghua.edu.cn
Corresponding author. Email: maotang@pku.edu.cn
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Abstract

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 α. 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.

Keywords

65Z0570-08Body-centered-cubic (BCC) crystalline solidsdispersion relationmatching boundary conditionreflection coefficientscalar waves
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 3 , June 2013 , pp. 337 - 350
Copyright
Copyright © Global-Science Press 2013

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