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Citation:
 Xing Zheng,Wen-yang Duan and Qing-Wei Ma.Comparison of Improved Meshless Interpolation Schemes for SPH Method and Accuracy Analysis[J].Journal of Marine Science and Application,2010,(3):223-230.[doi:10.1007/s11804-010-1000-y]
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Comparison of Improved Meshless Interpolation Schemes for SPH Method and Accuracy Analysis

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Title:
Comparison of Improved Meshless Interpolation Schemes for SPH Method and Accuracy Analysis
Author(s):
Xing Zheng Wen-yang Duan and Qing-Wei Ma
Affilations:
Author(s):
Xing Zheng Wen-yang Duan and Qing-Wei Ma
1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China 2. School of Engineering and Mathematical Science, City University, London EC1V 0HB, UK
Keywords:
higher order particle interpolation (HPI) SPH meshless method moving least square (MLS)
分类号:
-
DOI:
10.1007/s11804-010-1000-y
Abstract:
In the smoothed particle hydrodynamics (SPH) method, a meshless interpolation scheme is needed for the unknown function in order to discretize the governing equation. A particle approximation method has so far been used for this purpose. Traditional particle interpolation (TPI) is simple and easy to do, but its low accuracy has become an obstacle to its wider application. This can be seen in the cases of particle disorder arrangements and derivative calculations. There are many different methods to improve accuracy, with the moving least square (MLS) method one of the most important meshless interpolation methods. Unfortunately, it requires complex matrix computing and so is quite time-consuming. The authors developed a simpler scheme, called higher-order particle interpolation (HPI). This scheme can get more accurate derivatives than the MLS method, and its function value and derivatives can be obtained simultaneously. Although this scheme was developed for the SPH method, it has been found useful for other meshless methods.

References:

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Memo

Memo:
Supported by the National Natural Science Foundation of China under Grant No. 10572041, 50779008 and Doctoral Fund of Ministry of Education of China under Grant No. 20060217009.
Last Update: 2011-06-22