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| Mesh quality effects on the accuracy of gradient reconstruction and inviscid flow simulation on isotropic unstructured grids |
| Received:July 06, 2016 Revised:October 16, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201705004 |
| KeyWord:unstructured grids gradient reconstruction numerical accuracy Method of Manufactured Solutions grid convergence study |
| Author | Institution |
| 王年华 |
中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 |
| 张来平 |
中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 ;中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳 |
| 马戎 |
中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 |
| 赫新 |
中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 ;中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳 |
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| 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 when 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,skewness and mesh type on the accuracy of inviscid flow simulation. |
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