Year: 2010
Author: Shaoqiang Tang
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 45–55
Abstract
In this paper, we formulate a two-way interfacial condition for simulating lattice dynamics in one space dimension. With a time history treatment, the incoming waves are incorporated into the motion of the boundary atoms accurately. This condition reduces to the absorbing boundary condition when there is no incoming wave. Numerical tests validate the effectiveness of the proposed condition in treating simultaneously incoming waves and outgoing waves.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0944
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 45–55
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Interfacial condition incoming wave multiscale computation time history treatment.
Author Details
-
De novo multiscale method for nonequilibrium molecular dynamics
Yu, Chi-Hua | Chen, Jung-San | Hsu, Yu-Chuan | Chen, Chuin-ShanComputational Materials Science, Vol. 213 (2022), Iss. P.111636
https://doi.org/10.1016/j.commatsci.2022.111636 [Citations: 0] -
Heat jet approach for finite temperature atomic simulations of two-dimensional square lattice
Liu, Baiyili | Tang, ShaoqiangMultiscale and Multiphysics Mechanics, Vol. 1 (2016), Iss. 3 P.201
https://doi.org/10.12989/mmm.2016.1.3.201 [Citations: 2] -
Transmitting boundary conditions for 1D peridynamics
Wang, Linjuan | Chen, Yongshuai | Xu, Jifeng | Wang, JianxiangInternational Journal for Numerical Methods in Engineering, Vol. 110 (2017), Iss. 4 P.379
https://doi.org/10.1002/nme.5373 [Citations: 20] -
Matching Boundary Conditions for a Heterogeneous Atomic Chain
Chen, Xing-Ru | Liu, Shu-Yu | Tang, Shao-QiangChinese Physics Letters, Vol. 33 (2016), Iss. 8 P.080201
https://doi.org/10.1088/0256-307X/33/8/080201 [Citations: 0] -
Heat jet approach for finite temperature atomic simulations of single-crystal silicon layers
Xia, Xuewei | Zhang, Lei | Liu, BaiyiliJournal of Applied Physics, Vol. 136 (2024), Iss. 5
https://doi.org/10.1063/5.0214505 [Citations: 0] -
ALmost EXact boundary conditions for transient Schrödinger–Poisson system
Bian, Lei | Pang, Gang | Tang, Shaoqiang | Arnold, AntonJournal of Computational Physics, Vol. 313 (2016), Iss. P.233
https://doi.org/10.1016/j.jcp.2016.02.025 [Citations: 4] -
Heat jet approach for finite temperature atomic simulations of triangular lattice
Liu, Baiyili | Tang, Shaoqiang | Chen, JunComputational Mechanics, Vol. 59 (2017), Iss. 5 P.843
https://doi.org/10.1007/s00466-017-1376-5 [Citations: 5] -
Heat Jet Approach for Atomic Simulations at Finite Temperature
Tang, Shaoqiang | Liu, BaiyiliCommunications in Computational Physics, Vol. 18 (2015), Iss. 5 P.1445
https://doi.org/10.4208/cicp.240714.260315a [Citations: 9] -
Almost exact boundary condition for one-dimensional Schrödinger equations
Pang, Gang | Bian, Lei | Tang, ShaoqiangPhysical Review E, Vol. 86 (2012), Iss. 6
https://doi.org/10.1103/PhysRevE.86.066709 [Citations: 21]