计算物理 ›› 2008, Vol. 25 ›› Issue (2): 157-162.
• 研究论文 • 上一篇 下一篇
温万治, 董师舜, 杭旭登, 胡晓燕
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WEN Wanzhi, DONG Shishun, HANG Xudeng, HU Xiaoyan
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摘要： 给出MLSPH无网格方法的控制方程、移动最小二乘近似、MLSPH守恒格式等,重点研究MLSPH守恒格式中MLS面积向量的数值求解方法,以提高求解的精度.对激波管问题和平面Noh问题进行模拟,得到较好的结果,确定用三次样条积分公式计算面积向量.
关键词: 无网格方法, 移动最小二乘, 面积向量
Abstract: The governing equations, moving least squares (MLS) interpolant and conservative schemes for moving least squares particle hydrodynamics(MLSPH) are presented. It focuses on numerical evaluatation of area matrix to improve calculation accuracy. Numerical experiments with shock tube and Nob problems are satisfactory. The area matrix is evaluated correctly by a three-order spline integral formula.
Key words: meshless methods, moving least squares, area matrix
中图分类号:
O241.8
温万治, 董师舜, 杭旭登, 胡晓燕. 二维MLSPH无网格方法[J]. 计算物理, 2008, 25(2): 157-162.
WEN Wanzhi, DONG Shishun, HANG Xudeng, HU Xiaoyan. Computational Methods in Two-dimensional Moving Least Squares Particle Hydrodynamics[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 25(2): 157-162.
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