Kernel estimates as a basis for general particle methods in hydrodynamics

Details Kernel estimates as a basis for general particle methods in hydrodynamics Kernel estimates as a basis for general particle methods in hydrodynamics

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jcoph..46..429g&link_type=abstract

Journal of Computational Physics (ISSN 0021-9991), vol. 46, June 1982, p. 429-453. Sponsorship: Australian Research Grants Commi

Astronomy and Astrophysics

Astrophysics

101

Astrophysics, Fluid Mechanics, Hydrodynamics, Kernel Functions, Density Distribution, Gravitational Collapse, Integral Equations, Isothermal Processes, Molecular Clouds, Shock Wave Propagation

Scientific paper

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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