Adaptive particle distribution for Smoothed Particle Hydrodynamics

International Journal for Numerical Methods in Fluids

Volumn 47, Issue 10-11, 2005, Pages 1403-1409

  Lastiwka, Martin ^a   Quinlan, Nathan ^a   Basa, Mihai ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Adaptive particle distribution; Consistency; Smoothed particle hydrodynamics

Indexed keywords

ALGORITHMS; LINEAR EQUATIONS; NUMERICAL METHODS; PARTICLE SIZE ANALYSIS; SHOCK TUBES;

ADAPTIVE PARTICLE DISTRIBUTION; PARTICLE PLACEMENT; SMOOTHED PARTICLE HYDRODYNAMICS (SPH); SPH VARIANTS;

HYDRODYNAMICS;

HYDRODYNAMICS; MATHEMATICAL ANALYSIS;

EID: 16244422987     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.891     Document Type: Article

References (15)

1. Lucy LB. A numerical approach to the testing of fission hypothesis. Astronomical Journal 1977; 82:1013-1024.
2. Gingold RA, Monaghan JJ. SPH: theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society 1977; 181:375-389.
3. Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3-47.
4. Randles PW, Libersky LD. Smoothed particle hydrodynamics: some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering 1996; 139:375-408.
5. Cummins SJ, Rudman M. An SPH projection method. Journal of Computational Physics 1999; 152:584-607.
6. Shapiro PR, Martel H, Villumsen JV, Owen JM. Adaptive smoothed particle hydrodynamics, with application to cosmology: methodology I. Astrophysical Journal Supplement 1996; 103:269-330.
7. Kitsionas S, Whitworth AP. Smoothed particle hydrodynamics with particle splitting, applied to self-gravitating collapse. Monthly Notices of the Royal Astronomical Society 2002; 330:129-136.
8. Liu WK, Jun S, Sihling DT, Chen Y, Hao W. Multiresolution reproducing kernel particle method for computational fluid dynamics. International Journal for Numerical Methods in Fluids 1997; 24:1391-1415.
9. Liu GR. Mesh Free Methods Moving Beyond Finite Element Method. CRC Press: London, 2003.
10. Monaghan JJ. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics 1992; 30:543-574.
11. Bonet J, Lok T-SL. Variational and momentum preservation aspects of smoothed particle hydrodynamic formulations. Computer Methods in Applied Mechanics and Engineering 1999; 38:97-115.
12. Shepard D. A two-dimensional interpolation function for irregularly spaced points. Proceedings 1968 A.C.M. National Conference 1968; 517-524.
13. Liu WK, Jun S, Li S, Adee J, Belytschko T. Reproducing kernel particle methods for structural dynamics. International Journal for Numerical Methods in Engineering 1995; 38:1655-1679.
14. Liu MB, Liu GR, Lam KY. Constructing smoothing functions in smoothed particle hydrodynamics with applications. Journal of Computational and Applied Mathematics 2003; 155:263-284.
15. Baker TJ. Mesh adaptation strategies for problems in fluid dynamics. Finite Elements in Analysis and Design 1997; 25:243-273.