南京理工大学学报（自然科学版）2019，Vol.43Issue(5)：548-555,8.DOI:10.14177/j.cnki.32-1397n.2019.43.05.002
N-S方程耦合雷诺平均湍流模型无网格算法研究
Meshless method coupled with different Reynolds average turbulence model for solving Navier-Stokes equation
摘要
Abstract
The moving least square meshless method coupled with different RANS turbulent models is used to solve the N-S equations in this paper. Four two-equation turbulence models( standard,RNG, realizable and Wilcox models) are used to close the Reynolds average Navier-Stokes equation. An efficient and accurate 3D least square meshless algorithm is shown to solve the N-S equations based on the AUSM+-up and the MUSCL scheme. The explicit three-stage strong stability preserving ( SSP) Runge-Kutta method is chosen to advance the time evolution. The spatial derivatives are fitted by the least square method based on the cloud of points reconstruction technology,which can obtain good results from highly anisotropic cloud of points. The explicit expressions of the spatial derivatives are given in the present work. In order to investigate the robustness and accuracy of the present meshless method,both transonic flow and supersonic flow are simulated. The results show a good agreement with the exact solution or the experiment results.Based on the above algorithm,the numer-ical simulation of classical three-dimensional viscous flow around ONERA M6 wing is successfully realized,and the wave structure on the surface of M6 wing is clearly captured. The wave structure is reasonable. The distribution curves of pressure coefficients on the wing surface at different positions in the spreading direction are compared with the experimental data,and the results are in good agree-ment. The results show that the meshless method in this paper can effectively simulate three-dimen-sional viscous flow,and it expands ways of solving turbulent flow.关键词
无网格法/湍流/点云重构/移动最小二乘Key words
meshless methods/turbulence/cloud of points reconstruction/moving least square分类
航空航天引用本文复制引用
郭曼丽,王园丁,谭俊杰,林庆国,戴佳..N-S方程耦合雷诺平均湍流模型无网格算法研究[J].南京理工大学学报（自然科学版）,2019,43(5):548-555,8.基金项目
国家自然科学基金(11072114) （11072114）
上海航天科技创新基金(SAST201365) （SAST201365）
