Adaptive distribution of particles in a meshfree method

Jisuan Wuli/Chinese Journal of Computational Physics

Volumn 23, Issue 4, 2006, Pages 419-424

  Ni, Guo Xi ^a   Wang, Rui Li ^a   Lin, Zhong ^a  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

Author keywords

Adaptive; Boundary point; Particle distribution; Voronoi area

Indexed keywords

ADAPTIVE ALGORITHMS; BOUNDARY CONDITIONS; DENSITY (SPECIFIC GRAVITY); FLUIDS; NUMERICAL METHODS; PARTICLES (PARTICULATE MATTER);

BOUNDARY POINT; MESHFREE METHODS; PARTICLE DISTRIBUTION; VORONOI AREA;

COMPUTATIONAL FLUID DYNAMICS;

EID: 33748714192     PISSN: 1001246X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Li Deyuan, Xu Guorong, Shui Hongshou, et al. Numerical methods for nonsteady hydrodynamic in 2 dimension[M]. Beijing: Academic Press, 1987.
2. Zhou Yulin. One dimensional nonsteady hydrodynamic[M]. Beijing: Academic Press, 1990.
3. Leveque R J. Numerical methods for conservation laws[M]. second edition, Birkhouser Verlag, 1992.
4. Jensen P S. Finite difference techniques for variable grids[J]. Computers and Structures, 1972, 2: 17-29.
5. Kaczkowski Z, Tribillo R. A generalization of the finite difference formulas[J]. Inter J Num Methods in Engineering, 1975, 3(9): 581-599.
6. Liszka T, Orkisz J. The finite difference method at arbitrary irregular girds and its application in applied mechanics[J]. Computers and Structures, 1980, 11: 83-95.
7. Perrone N, Kao R. A general finite difference method for arbitrary meshes[J]. Computers and Structures, 1975, 5: 45-58.
8. Lucy L B. A numerical approach to the testing of the fission hypothesis[J]. The Astronomical Journal, 1977, 82(12): 1013-1024.
9. Gingold R A, Monaghan J J. Smoothed particle hydrodynamics: theory and applications to non-apherical stars[J]. Mon Not Roy Astrol Soc, 1997, 18: 375-389.
10. Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods[J]. Math Comput, 1981, 37: 141-158.
11. Belytschko T, Lu Y Y, Gu L. Element-free Galekin methods[J]. International Journal for Numerical Methods in Engineering, 1994, 37: 229-256.
12. Liu G R, Tu Z H. An adaptive procedure based on background cells for meshless methods[J]. Comput Methods Appl Mesh Engrg, 2002, 191: 1923-1943.
13. Liu M B, Liu G R, Lam K Y, Zong Z. Smoothed particle hydrodynamics for numerical simulation of underwater explosion[J]. Computational Mechanics, 2003, 30: 106-118.
14. Liu W K, Li S, Belytchko T. Moving least square reproducing kernel method part I: Methodology and convergence[J]. Computer Methods in Applied Mechanics and Engineering, 1997, 143: 422-453.
15. Zhang Xiong, Liu Yan. Meshless method[M]. Beijing: Tsinghua University Press, 2004.
16. Rebay S. Efficient unstructured mesh generation by means of Delaunay trianglation and Bowyer-Watson algorithm[J]. J Comput Phys, 1993, 106: 125-138.
17. Holmes D G, Snyder D D. The generation of unstructured triangular meshes using delaunay triangulation[A]. Numerical Grid Generation in Computational Fluid Mechanics 88, UK, Swansea: Pineridge Press, 1988.
18. Liu G R, Tu Z H. An adaptive procedure based on background cells for meshless methods[J]. Comput Methods Appl Mech Engrg, 2002, 191: 1923-1943.
19. Yao J, Gunger M E. Simulation of shaped-charge with SPH rezone method[A]. CP620, Shock Compression of Condensed Matter (2001), Furnish M D, Thadhali N N, Horie Y, eds, American Institute of Physics, 2002.