应用数学和力学2024，Vol.45Issue(12)：1483-1493,11.DOI:10.21656/1000-0887.440304
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
摘要
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分类
力学引用本文复制引用
李宏杨,热合买提江·依明..修正KDF-SPH方法的激波问题数值模拟[J].应用数学和力学,2024,45(12):1483-1493,11.基金项目
新疆自然科学基金(2020D01C022) （2020D01C022）
国家自然科学基金(51565054) （51565054）
