计算力学学报2017，Vol.34Issue(6)：779-784,6.DOI:10.7511/jslx201706015
满足几何守恒律的WENO格式及其应用
A WENO scheme with geometric conservation law and its application
摘要
Abstract
The origin of geometric conservation law is investigated,and a WENO scheme with geometric conservation law is developed.Then the scheme is applied to the simulation of flow past airfoils.In order to eliminate the influence of grid quality,the standard WENO scheme is divided into two part:a consistent central difference part and a numerical dissipation part,and the conservative metric method is implemented.Results of numerical tests show that the geometric conservation law plays a very important role in high order finite difference WENO scheme,and the developed scheme can eliminate the errors of metric derivatives and preserve the free-stream preservation perfectly.Then the scheme is applied to the large eddy simulation of laminar separation phenomenon on the SD7003 airfoil.The computed results match well with the computational and experimental ones from some other papers.Besides,the present method has the characteristics of high order of accuracy and high resolution in capturing small-scale flow structures,and achieves good performance effect in predicting the formation of a laminar separation bubble and its subsequent burst and transition to turbulent structures.关键词
几何守恒律/WENO格式/来流保持性/度量系数误差/翼型绕流Key words
Geometric Conservation Law/WENO/free-stream preservation/errors of metric derivatives/flow past airfoil分类
数理科学引用本文复制引用
朱志斌,杨武兵,禹旻..满足几何守恒律的WENO格式及其应用[J].计算力学学报,2017,34(6):779-784,6.基金项目
国家自然科学基金(11672282)资助项目. （11672282）
