空气动力学学报2023，Vol.41Issue(11)：94-102,9.DOI:10.7638/kqdlxxb-2022.0149
高精度IPDG湍流模拟及通量格式数值特性
High-precision IPDG based turbulence simulation and the numerical characteristics of flux schemes
摘要
Abstract
In this study,the SST k-ω turbulence model is applied within the framework of the internal penalty discontinuous Galerkin(IPDG)method.The applicability of the method is verified by numerical simulations of the flow fields and the turbulence characteristics under subsonic,transonic and supersonic conditions.Based on the present method,the numerical characteristics of four different flux schemes(AUSM,Lax F,HLL and Roe)for the convection term in the weak form of the RANS equations with IPDG are systematically analyzed.The results show that,the AUSM scheme presents an obvious folding phenomenon on the detached shock surface under supersonic condition.The Lax-F and HLL schemes have large numerical dissipation and perform poorly in the shock wave analysis.Moreover,flow separation is induced after the shock surface in the Lax-F scheme.The Roe scheme has the applicability for a wide range of velocity,and presents a high calculation accuracy that can precisely resolve the shock structure.关键词
间断伽辽金/内罚方法/通量格式/SST k-ω湍流模型Key words
discontinuous Galerkin/interior penalty method/flux scheme/SST k-ω turbulence model分类
数理科学引用本文复制引用
郝世熙,丁秋实,魏桐,刘正先,刘伟,李孝检,赵明..高精度IPDG湍流模拟及通量格式数值特性[J].空气动力学学报,2023,41(11):94-102,9.基金项目
国家自然科学基金(11972250,12102298) （11972250,12102298）
天津市自然科学基金(20JCQNJC01950) （20JCQNJC01950）
