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Volume 2, Issue 1
A Two-Way Interfacial Condition for Lattice Simulations

Shaoqiang Tang

DOI: 10.4208/aamm.09-m0944

Adv. Appl. Math. Mech., 2 (2010), pp. 45-55.

Published online: 2010-02

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  • 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.

  • Keywords

Interfacial condition, incoming wave, multiscale computation, time history treatment.

  • AMS Subject Headings

70-08, 65L99, 34B60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-2-45, author = {Tang , Shaoqiang}, title = {A Two-Way Interfacial Condition for Lattice Simulations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0944}, url = {http://global-sci.org/intro/article_detail/aamm/200.html} }
TY - JOUR T1 - A Two-Way Interfacial Condition for Lattice Simulations AU - Tang , Shaoqiang JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 45 EP - 55 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0944 UR - https://global-sci.org/intro/article_detail/aamm/200.html KW - Interfacial condition, incoming wave, multiscale computation, time history treatment. AB -

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.

Tang , Shaoqiang. (2010). A Two-Way Interfacial Condition for Lattice Simulations. Advances in Applied Mathematics and Mechanics. 2 (1). 45-55. doi:10.4208/aamm.09-m0944
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