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罗海宁,黄伟希.移动最小二乘浸没边界法中的权函数影响分析
Assessment of the weighting function for the immersed boundary method based on Moving-Least-Squares reconstruction[J].计算力学学报,2017,(4):487~492
移动最小二乘浸没边界法中的权函数影响分析
Assessment of the weighting function for the immersed boundary method based on Moving-Least-Squares reconstruction
Assessment of the weighting function for the immersed boundary method based on Moving-Least-Squares reconstruction
投稿时间:2016-01-28  修订日期:2016-09-28
DOI:10.7511/jslx201704014
中文关键词:  移动最小二乘法  权函数  浸没边界法  离散delta函数  形函数
英文关键词:Moving-Least-Squares method  weighting function  Immersed Boundary Method  discrete delta function  shape function
基金项目:国家自然科学基金(11322221);清华大学自主科研项目(20131089267)资助项目.
作者单位E-mail
罗海宁 北京航空航天大学 中法工程师学院, 北京 100191;清华大学 工程力学系, 北京 100084  
黄伟希 清华大学 工程力学系, 北京 100084 hwx@tsinghua.edu.cn 
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中文摘要:
      考察了浸没边界法中运用移动最小二乘法构造的插值形函数的影响。通过在移动最小二乘法中采用不同的权函数,分析了相应的插值形函数的性质,并与传统的离散delta函数做了比较。以静止流体中的水平振荡圆柱为例,阐明了形函数对圆柱阻力系数的幅值和光滑性的影响,得到了较优的形函数分布,并将结果与文献对比验证了本文方法的可靠性。
英文摘要:
      Influence of the shape function for interpolation/extrapolation,constructed by the Moving-Least-Squares(MLS) approach,on the Immersed Boundary Method(IBM) was analyzed.By choosing different weighting functions in the MLS formulation,the corresponding shape functions was tested in the IBM and compared with the traditional discrete delta function.Using the numerical example of an inline oscillating cylinder in stationary fluid,effect of the shape function on the amplitude and smoothness of the drag coefficient of the cylinder was presented,and the optimal shape function was obtained accordingly.Good agreement between the present results and the literature was found,indicating the validity of the proposed shape functions.
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