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| Assessment of the weighting function for the immersed boundary method based on Moving-Least-Squares reconstruction |
| Received:January 28, 2016 Revised:September 28, 2016 |
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| DOI：10.7511/jslx201704014 |
| KeyWord:Moving-Least-Squares method weighting function Immersed Boundary Method discrete delta function shape function |
| Author | Institution |
| 罗海宁 |
北京航空航天大学 中法工程师学院, 北京 ;清华大学 工程力学系, 北京 |
| 黄伟希 |
清华大学 工程力学系, 北京 |
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| 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. |