热合买提江·依明,买买提明·艾尼

• 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

摘要(Abstract)：

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.

关键词(KeyWords)： SPH方法;降元算法;精度;计算量

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(51075346)项目资助

作者(Author): 热合买提江·依明,买买提明·艾尼

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