期刊文献+

二维MLSPH无网格方法 被引量:4

Computational Methods in Two-dimensional Moving Least Squares Particle Hydrodynamics
下载PDF
导出
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. 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.
出处 《计算物理》 EI CSCD 北大核心 2008年第2期157-162,共6页 Chinese Journal of Computational Physics
基金 国家基金(10771019)和973项目(2005CB321700) 计算物理重点实验室基金(9140C690101070C69)资助项目
关键词 无网格方法 移动最小二乘 面积向量 meshless methods moving least squares area matrix
  • 相关文献

参考文献13

  • 1Perrone N, Kao R. A general finite difference method for arbitrary meshes[J]. Computational Structure, 1975, 5:45 -47.
  • 2Lucy L B. A numerical approach to the testing of the fission hypothesis[J]. The Astron J, 1977, 82(12): 1013- 1024.
  • 3Monaghan J J. An introduction to SPH[J]. Computation Physics and Communication, 1988, 48(1) : 89 -96.
  • 4Liu W K, Jun S, Zhang Y F. Reproducing kernel particle methods[J]. Int J Numer Methods Engng, 1995, 20:1081 - 1106.
  • 5Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods[J]. Math Comput, 1981, 37:141 - 158.
  • 6Lisake T, Orkisz J. The finite difference method at arbitrary irregular grids and its application in applied mechanics[J]. Computer and Structures, 1980, 11: 83- 95.
  • 7Belytchko T, Lu Y Y, Gu L. Element free Galerkin methods[J]. Int J Numer Methods Engng, 1994, 37:229 - 256.
  • 8Dilts Gray A. Moving-least-squares-particle hydrodynamics Ⅰ consistency and stability[J]. Int J Numer Meth Engrg, 1999, 44:1115 - 1155.
  • 9Yao Jin, et al. Simulation of shaped-charge with SPH rezone method[ C]// 12th APS SCCM Topical Conference. Atlanta: American Institute of Physics, 2001 : 435 - 438.
  • 10Yao Jin, et al. Simulatlon of detonation problems with MLS grid-free methodology [ C]// 12th International Detonation Symposium. San Diego, 2002.

同被引文献11

引证文献4

二级引证文献22

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部