Article ID Journal Published Year Pages File Type
520420 Journal of Computational Physics 2008 18 Pages PDF
Abstract

A set of interpolating functions of the type f(v)={sinπ2v/π2v}n is analyzed in the context of the smoothed-particle hydrodynamics (SPH) technique. The behaviour of these kernels for several values of the parameter n   has been studied either analytically as well as numerically in connection with several tests carried out in two-dimensions. The main advantage of this kernel relies in its flexibility because for n=3n=3 it is similar to the standard widely used cubic-spline, whereas for n>3n>3 the interpolating function becomes more centrally condensed, being well suited to track discontinuities such as shock fronts and thermal waves.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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