Why Particle Methods Work
Copyright policy )Why Particle Methods Work
The theme of this paper is that particle methods are closely related to both finite difference and spectral methods because the three methods can be considered special cases of interpolation by kernel estimation. The kernels for a number of special cases are given in detail, and the accuracy of the resulting interpolation is analyzed. A general procedure for deriving equations for numerical work from the equations of hydrodynamics is described. It is applied to the derivation of the SPH equations which conserve linear and angular momentum exactly.
particle methods, Ionized gas flow in electromagnetic fields; plasmic flow, Basic methods in fluid mechanics, Galactic and stellar dynamics, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, interpolation, approximate kernel representations
particle methods, Ionized gas flow in electromagnetic fields; plasmic flow, Basic methods in fluid mechanics, Galactic and stellar dynamics, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, interpolation, approximate kernel representations
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