1999/07/07 by R. Capuzzo‐Dolcetta, R. Capuzzo-Dolcetta, Capuzzo-Dolcetta, R. +2
Engineering · Physics and Astronomy · #Fluid Dynamics Simulations and Interactions #Nanopore and Nanochannel Transport Studies #Numerical methods in engineering #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9907089
Paper in press in Applied Numerical Mathematics: Latex file (requires elsart.cls style file); 12 pages+2 eps figures
arxiv created 1999/07/07 · arxiv updated 2009/12/01
We 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.