修正KDF-SPH方法的激波问题数值模拟
Numerical Simulations of Shock Problems With the Revised KDF-SPH Method
李宏杨 1热合买提江·依明1
作者信息
- 1. 新疆大学数学与系统科学学院,乌鲁木齐 830000
- 折叠
摘要
基于光滑粒子流体动力学(smooth particle hydrodynamics,SPH)方法中的光滑核近似和Taylor级数展开原理,利用核函数矩对KDF-SPH(kernel derivative free SPH)方法进行了修正.为了验证修正方法的适用性和可行性,将该方法应用于不同情况下一维激波管问题的数值模拟,并对模拟结果进行分析.结果表明,修正方法能很好地捕捉到激波和接触不连续的位置和强度,修正方法不要求核函数可导性,不计算核函数矩,计算量更小,计算效率更高.
Abstract
Based on the smooth kernel approximation and the Taylor series expansion of the smooth particle hydrodynamics(SPH)method,the kernel function moment was used to revise the KDF-SPH(kernel derivative free SPH)method.To prove the applicability and feasibility of the proposed revised scheme,the scheme was applied to the numerical simulations of 1D shock tube problems under different conditions,and the simulation results were analyzed.The results show that,the revised method can well capture the positions and strengths of shock waves and contact discontinuities.The revised method does not require the derivability of the kernel function,does not calculate the kernel function moment,and has a smaller computation cost with a higher cal-culation efficiency.
关键词
SPH核近似/激波/修正/数值解Key words
smooth particle hydrodynamics kernel approximation/shock wave/revise/numerical solution引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据