SSPH核近似的降元算法研究

热合买提江·依明; 买买提明·艾尼

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SSPH核近似的降元算法研究

更新时间：2026-01-21

- SSPH核近似的降元算法研究
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 3, Pages: 265-272(2014)
- 作者机构：
  
  1. 新疆大学机械工程学院
  2. 新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O241;O35
- Published：2014
- 稿件说明：
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[1]热合买提江·依明,买买提明·艾尼.SSPH核近似的降元算法研究[J].新疆大学学报(自然科学版),2014,31(03):265-272.

热合买提江·依明, 买买提明·艾尼. SSPH核近似的降元算法研究[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(3): 265-272.
[1]热合买提江·依明,买买提明·艾尼.SSPH核近似的降元算法研究[J].新疆大学学报(自然科学版),2014,31(03):265-272. DOI：

热合买提江·依明, 买买提明·艾尼. SSPH核近似的降元算法研究[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(3): 265-272. DOI：

摘要

本文首先介绍传统光滑粒子流体动力学(Smoothed Particle Hydrodynamics

简称SPH)方法的基本公式

用对称(Symmetric)光滑粒子流体动力学(SSPH)核近似方法函数.函数一阶导数和函数二阶导数的计算进行了研究

在SSPH方法的基础上提出了精度较高、计算量少和所占内存空间较低的降元算法.对SSPH核近似方法和降元算法的精度进行了分析

SSPH方法和本文提出算法用于一维函数的一阶导数和二阶导数的计算

并进行误差对比分析发现精度有所提高.最后本算法应用于非稳态热传导问题上

同时进行数值计算和对比分析

验证了本方法的有效性.

Abstract

In this paper firstly introduced the basic equation of convectional smooth particle hydrodynamics(SPH) method

studied kernel approximation for the function as well as the derivatives in symmetric SPH(SSPH) method. Proposed new reducing dimensions algorithm of SSPH which has high accuracy

with less computation amount and low memory space. The errors comparison was analyzed by a 1-D function as an example to show improvement of accuracy. Lastly through calculated and compared unsteady heat conduction problems

the validation of this method in actual application is indicated.

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Keywords

references

L Lucy.A numerical approach to the testing of fission hypothesis[J].Astrophysical Journal,1977,82(12):1013-1020.

R Gingold,J Monaghan.Smoothed particle hydrodynamics:Theory and application to nonspherical stars[J].Monthly Notices of the Royal Astronomical Society,1977,181:375-389.

R A Gingold,J J Monaghan.Kernel estimates as a basis for general particle methods in hydrodynamics[J].Journal of Computational Physics,1982,46(3):429-453.

J Monaghan.Simulating free surface flows with SPH[J].Journal of Computational Physics,1994,110(2):399-406.

Larry D Libersky,A G Petschek.Smoothed particle hydrodynamics with Strength of materials[J].Lecture Notes in Physics,1991,395:248-257.

J Monaghan.Smoothed particle hydrodynamics[J].Reports on Progress in Physics,2005,68:1703-1759.

W K Liu,S Jun,Y Zhang.Reproducing kernel particle methods[J].International Journal for Numerical Methods in Fluids,1995,20(8-9):1081-1106.

G R Johson,S R Beissel.Normalized smoothed functions for SPH impact computations[J].International Journal for Numerical Methods in Engineering,1996,39(16):2725-2741.

J K Chen,J E Beraun,T C Carney.A corrective smoothed particle method for boundary value problems in heat conduction[J].International Journal for Numerical Methods in Engineering,1999,46(2):231-252.

G M Zhang,R C Betra.Modified smoothed particle hydrodynamics method and its application to transient problems[J].Computational Mechanics,2004,34(2):137-146.

李建成,袁德奎,陶建华.二阶核近似有限粒子方法的改进[J].水动力学研究与进展,2013,28(3):160-173.

郑兴,段文洋.光滑粒子流体动力学二阶算法精度研究[J].水科学进展,2008,19(3):821-827.

M B Liu,G R Liu.Restoring particle consistency in smoothed particle hydrodynamics[J].Applied Numerical Mathematics,2006,56(1):19-36.

G R Liu,M B Liu.Smoothed Particle Hydrodynamics:A Meshless Particle Method[M].Singapore,World Scientific Publishing,2003:150-156.

J H Jeong,M S Jhon,J S Halow,et al.Smoothed particle hydrodynamics:Applications to heat conduction[J].Computer Physics Communications,2003,153(1):71-84.

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Related Author

热合买提江·依明江

买买提明·艾尼

Related Institution

新疆大学数学与系统科学学院,新疆大学机械工程学院新疆乌鲁木齐830046

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