A Criterion for the choice of the interpolation kernel in Smoothed Particle Hydrodynamics

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dc.creatorCapuzzo-Dolcetta, R.
dc.creatorDi Lisio, R.
dc.date1999-07-07
dc.date.accessioned2026-07-07T02:32:26Z
dc.date.available2026-07-07T02:32:26Z
dc.descriptionWe study the problem of the appropriate choice of the interpolating kernel to be used in the evaluation of gradients of functions. Such interpolation technique is often used in applications, e.g. it is typical for Smoothed Particle Hydrodynamics (SPH). We propose a minimization procedure for selecting kernels in n-dimensions, in the class of regular, normalizable, symmetric functions having finite moments up to a sufficiently high order; the method is valid when the kernel width is position-dependent and allows to recover conservation laws at the same order of approximation that SPH, as interpolation technique, has when the kernel size is constant.
dc.descriptionPaper in press in Applied Numerical Mathematics: Latex file (requires elsart.cls style file); 12 pages+2 eps figures
dc.identifierhttps://arxiv.org/abs/astro-ph/9907089
dc.identifierhttp://arxiv.org/abs/astro-ph/9907089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/14463
dc.subjectAstrophysics
dc.titleA Criterion for the choice of the interpolation kernel in Smoothed Particle Hydrodynamics
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