南京理工大学学报（自然科学版）2012，Vol.36Issue(3)：492-498,7.
三维最小二乘无网格方法精度与误差分析
Precision and Error Analysis of 3D Least-square Meshless Method
摘要
Abstract
In order to obtain the calculation precision and the feasibility for solving three-dimensional inviscid flow fields using the least-square meshless method, a mathematical demonstration based on orthogonal and proportional spacing point distribution is proposed here. Four three-dimensional cases are given based on orthogonal (non-orthogonal) and proportional spacing point distribution. The results obtained with the lease-square meshless method are in good agreement with the theoretical results and the results obtained with other mesh methods. The relative error between numerical results and theoretical ones is within reasonable bounds. The results indicate the meshless method can be applied to simulating the three-dimensional flow fields.关键词
三维/最小二乘法/无网格方法/超声速流场Key words
three-dimension/least-square method/meshless method/supersonic flow fields分类
数理科学引用本文复制引用
马新建,谭俊杰,蔡晓伟,周志超,王芳..三维最小二乘无网格方法精度与误差分析[J].南京理工大学学报（自然科学版）,2012,36(3):492-498,7.基金项目
国家自然科学基金(11072114) （11072114）
