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Title:
Kernel estimates as a basis for general particle methods in hydrodynamics
Authors:
Gingold, R. A.; Monaghan, J. J.
Affiliation:
AA(Monash University, Clayton, Victoria, Australia), AB(Monash University, Clayton, Victoria, Australia)
Publication:
Journal of Computational Physics (ISSN 0021-9991), vol. 46, June 1982, p. 429-453. Sponsorship: Australian Research Grants Committee.
Publication Date:
06/1982
Category:
Fluid Mechanics and Heat Transfer
Origin:
STI
NASA/STI Keywords:
ASTROPHYSICS, FLUID MECHANICS, HYDRODYNAMICS, KERNEL FUNCTIONS, DENSITY DISTRIBUTION, GRAVITATIONAL COLLAPSE, INTEGRAL EQUATIONS, ISOTHERMAL PROCESSES, MOLECULAR CLOUDS, SHOCK WAVE PROPAGATION
DOI:
10.1016/0021-9991(82)90025-0
Bibliographic Code:
1982JCoPh..46..429G

Abstract

The general theory of kernel estimation is discussed and applied to particle methods in hydrodynamics. It is shown that a simple form of estimation leads to a particle method which does not require a grid and satisfies the conservation laws very accurately. The merits of different kernels are examined, and numerical tests of their ability to reproduce known densities are described. Examples of the application of the new particle method to isothermal shocks, to the collapse of gas clouds, and to the tidal interaction of stars are described.
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