计算力学学报2018，Vol.35Issue(1)：51-55,5.DOI:10.7511/jslx20161024001
三阶WENO格式精度分析与改进
Precision analysis and improvement of third-order WENO scheme
摘要
Abstract
High resolution shock capturing schemes are of great significance for numerical simulation of flow fields containing shock waves.Precision of both WENO-JS3 scheme and WENO-Z3 scheme are firstly analyzed theoretically.It is indicated that the two schemes share the same accuracy in the smooth flow field including critical points and actually fail to achieve designed third-order convergence.However,WENO-Z3 scheme is better than WENO-JS3 scheme because of larger weight assignment to the discontinuous stencils.WENO-Z+3 scheme and its improved high-resolution schemes (WENO-Z+ 3P1,WENO-Z+3P32) are then proposed in present paper.And it is proved that the improved schemes can recover the designed-order convergence at critical points as well as other smooth flow fields theoretically.Several classical one-dimensional Riemann problems and double Mach reflection case are simulated based on the schemes discussed in this paper.The proposed WENO-Z + 3 scheme and its improved schemes are proved to have better characteristics with low numerical dissipation and high resolution to the flow features.关键词
三阶WENO格式/精度分析/高分辨率/低耗散Key words
third-order WENO scheme/precision analysis/high resolution/low dissipation分类
数理科学引用本文复制引用
徐维铮,孔祥韶,郑成,吴卫国..三阶WENO格式精度分析与改进[J].计算力学学报,2018,35(1):51-55,5.基金项目
国防基础研究项目(B1420133057) （B1420133057）
国家自然科学基金项目(51409202) （51409202）
中央高校基本科研业务费(2016-YB-D16)资助项目. （2016-YB-D16）
