计算力学学报2017，Vol.34Issue(5)：555-563,9.DOI:10.7511/jslx201705004
非结构网格质量对梯度重构及 无粘流动模拟精度的影响
Mesh quality effects on the accuracy of gradient reconstruction and inviscid flow simulation on isotropic unstructured grids
摘要
Abstract
The accuracy of gradient reconstruction methods implemented in unstructured cell-centered finite-volume discretization schemes were analyzed both theoretically and numerically .Conditions were derived for methods based on the Green-Gauss formula (GG methods ) and methods based on the least squares approach (LSQ methods ) to achieve at least first-order gradient reconstruction .For GG methods ,second-order approximation of surface midpoint value is required w hen no cancellation effect occurs .On the other hand ,LSQ methods are at least first-order accurate on arbitrary unstructured grids . Numerical testing on gradient reconstruction accuracy verified the mathematical conclusions .Solution errors of inviscid flow simulation were quantified using the Method of Manufactured Solutions (MMS) . Grid convergence studies were performed to examine the effects of mesh quality ,such as mesh perturbation ,curvature ,skew ness and mesh type on the accuracy of inviscid flow simulation .关键词
非结构网格/梯度重构方法/数值模拟精度/制造解方法/网格收敛性研究Key words
unstructured grids/gradient reconstruction/numerical accuracy/Method of Manufactured Solutions/grid convergence study分类
数理科学引用本文复制引用
王年华,张来平,马戎,赫新..非结构网格质量对梯度重构及 无粘流动模拟精度的影响[J].计算力学学报,2017,34(5):555-563,9.基金项目
国家自然科学基金(11532016 )资助项目 . （11532016 ）
