| SSPH核近似的降元算法研究 |
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| 引用本文： | 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(理工版),2014(3):265-272. |
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| 作者姓名： | 热合买提江·依明 买买提明·艾尼 |
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| 作者单位： | 新疆大学机械工程学院;新疆大学数学与系统科学学院 |
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| 基金项目： | 国家自然科学基金(51075346)项目资助 |
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| 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.
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| 关 键 词： | SPH方法 降元算法 精度 计算量 |
Reducing Dimensions Algorithm of Symmetric SPH Kernel Approximation |
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| Institution: | Rahmatjan Imin;Mamtimin Gheni;College of Mechanical Engineering,Xinjiang University;College of Mathematics and System Sciences, Xinjiang University; |
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| 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: | SPH method Reducing dimensions algorithm Accuracy Computation amount accuracy |
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