国防科技大学学报2024，Vol.46Issue(1)：51-62,12.DOI:10.11887/j.cn.202401006
迎风格式在接触间断的数值耗散及其诱导误差
Numerical dissipation of upwind schemes in contact discontinuity and their induced error
摘要
Abstract
The numerical experiments of three upwind schemes in contact discontinuity were carried out on the numerical dissipation under different flow field parameters,and the mechanism of numerical dissipation was analyzed.The numerical calculation results and theoretical analysis show that when the flux vector splitting scheme is used for contact discontinuity calculation,if the flow field is static or there exists a subsonic region in the flow field,the generation of density dissipation will induce numerical perturbation errors moving with characteristic velocity.These errors have no effect on the magnitude of numerical dissipation,but it will affect the distribution of velocity and pressure parameters in the flow field,thus changing the structure of the flow field.In two-dimensional flow fields,the mutual interference of the induced errors will produce numerous complex small-scale structures,which bring difficulties to the flow field structure identification.Meanwhile,in the flow field with linear distribution of density parameters,if the object reconstructed by the spatial discrete scheme is convective flux,using the flux vector splitting scheme to calculate the flow field will generate numerical errors,making it difficult to reach the second order of computational accuracy.关键词
迎风格式/有限差分格式/接触间断/数值耗散/数值误差Key words
upwind scheme/finite difference scheme/contact discontinuity/numerical dissipation/numerical error引用本文复制引用
韩芳,魏雁昕,刘君..迎风格式在接触间断的数值耗散及其诱导误差[J].国防科技大学学报,2024,46(1):51-62,12.基金项目
国家自然科学基金资助项目(11872144) （11872144）
