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移动最小二乘浸没边界法中的权函数影响分析

罗海宁 黄伟希

计算力学学报2017,Vol.34Issue(4):487-492,6.
计算力学学报2017,Vol.34Issue(4):487-492,6.DOI:10.7511/jslx201704014

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

罗海宁 1黄伟希2

作者信息

  • 1. 北京航空航天大学 中法工程师学院,北京 100191
  • 2. 清华大学 工程力学系,北京 100084
  • 折叠

摘要

Abstract

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.

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

Key words

Moving-Least-Squares method/weighting function/Immersed Boundary Method/discrete delta function/shape function

分类

数理科学

引用本文复制引用

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[J].计算力学学报,2017,34(4):487-492,6.

基金项目

国家自然科学基金(11322221) (11322221)

清华大学自主科研项目(20131089267)资助项目. (20131089267)

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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