高技术通讯2023，Vol.33Issue(11)：1192-1201,10.DOI:10.3772/j.issn.1002-0470.2023.11.007
阻尼色散波的人工边界条件
Artificial boundary conditions for damped dispersive waves
摘要
Abstract
In this paper,numerical artificial boundary conditions for the damped dispersive wave problems are designed.The matching boundary condition method is used to construct accurate local artificial boundary conditions by matc-hing the characteristic frequency-wave number relationship of damped dispersive waves.The matching boundary conditions take a linear combination form of atomic displacement and velocity near the artificial boundary,and the combination coefficients are determined by matching the frequency-wave number relationship.In this work,a one-dimensional infinitely long damped monoatomic chain is taken as an example,and the frequency-wave number rela-tionship of damped dispersive waves is established with frequency rather than wave number as the independent vari-able.The proposed matching boundary conditions can effectively deal with damped waves with different wave speeds and different spatial attenuation rates.Both reflection coefficient analysis and numerical examples verify the validity of the artificial boundary conditions.Matching boundary conditions are compact in form,low cost in compu-tation,and efficient in absorption,and can be applied to molecular dynamics simulation and multi-scale calculation of crystals.关键词
阻尼色散波/人工边界条件/匹配边界条件/色散关系/反射系数/多尺度计算Key words
damped dispersive waves/artificial boundary conditions/matching boundary conditions/disper-sion relations/reflection coefficients/multi-scale calculations引用本文复制引用
黄良易,王贤明..阻尼色散波的人工边界条件[J].高技术通讯,2023,33(11):1192-1201,10.基金项目
国家自然科学基金(11602220)资助项目. （11602220）
