南京理工大学学报（自然科学版）Issue(6)：880-885,6.
粘性流模拟中基于点云重构的最小二乘无网格法
Meshless least square method based on COP reconstruction for viscous flow simulation
摘要
Abstract
A method to fit spatial derivatives using the cloud of points ( COP ) reconstruction is proposed for improving the simulation ability for viscous flows of the meshless least square method. An anisotropy COP is reconstituted in the boundary layer, and a nearly isotropic COP structure is formed to fit the meshless least square method calculation. The Lagrange interpolation is used to calculate the values of the new points,the AUSM+-UP scheme is used to calculate the numerical flux at the COP middle point,the least squares method is used to fit the spatial derivatives,and the third-order strong stability preserving ( SSP ) Runge-Kutta method is used for time marching. To validate the accuracy and robustness of the meshless least square method based on the COP recon-struction, the NACA0012 airfoil with different free stream conditions are simulated and the calculation results are compared with those of the traditional meshless least square methods. The results indicate that the simulation results of the meshless least square method based on COP recon-struction such as the location of the separation point and vortex center and the coefficient of surface pressure are closer to the reference results.关键词
粘性流/点云重构/最小二乘无网格法/拉格朗日插值Key words
viscous flows/cloud of points reconstruction/meshless least square method/Lagrange interpolation分类
数理科学引用本文复制引用
蔡晓伟,谭俊杰,张木,张旺龙,任登凤..粘性流模拟中基于点云重构的最小二乘无网格法[J].南京理工大学学报（自然科学版）,2013,(6):880-885,6.基金项目
国家自然科学基金(11072114) （11072114）
