摘要
为了得到最小二乘无网格方法在求解三维Euler方程时的计算精度及其应用于三维流场求解的准确性,通过数学方法对该无网格方法在正交等间距离散点分布情况下的计算精度进行了论证,给出了基于正交等间距和非正交均匀布点的4个三维验证算例。并将该文计算结果与其他网格方法得到的计算结果和理论结果进行了比较,两种方法得到的计算结果吻合较好,与理论结果的误差在合理范围以内。结果表明将最小二乘无网格方法应用于三维流场的求解是完全可行的。
In order to obtain the calculation precision and the feasibility for solving three-dimensional inviscid now 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.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2012年第3期492-498,共7页
Journal of Nanjing University of Science and Technology
基金
国家自然科学基金(11072114)
关键词
三维
最小二乘法
无网格方法
超声速流场
three-dimension
least-square method
meshless method
supersonic flow fields
