摘要
无网格Petrov-Galerkin(MLPG)方法是一种真正的无网格方法,它利用节点计算待求量的插值函数,并利用高斯型求积公式在局部子域内进行数值积分。本文提出了一种有效的用于不规则区域的高斯型数值积分实施方法,通过数值研究表明:该方法能很好地处理不规则区域积分,其计算结果与基准解和FLUENT的计算结果吻合很好。
Meshless Local Petrov-Galerkin method (MLPG) is a truly meshless method, in which nodes are only used to construct the interpolation function and Gauss integration is applied on each local sub-domain. In this paper, numerical integration method of irregular domain is proposed. The numerical results show that the present method can deal with numerical integration of irregular domain efficiently and are in agreement with those of analytical solutions and the numerical results from FLUENT.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2009年第8期1350-1352,共3页
Journal of Engineering Thermophysics
基金
国家自然科学基金重点项目资助(No.50636050)
关键词
无网格方法
不规则区域
数值积分
meshless method
irregular domain
numerical integration
