Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 227, Issue 19, Pages 8523-8540Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.06.014
Keywords
numerical hydrodynamics; smoothed particle hydrodynamics (SPH); interpolation
Funding
- Spanish MCYT [AYA2005-08013-C03-01]
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A set of interpolating functions of the type f(v) = {sin [pi/2v]/(pi/2v)}(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 = 3 it is similar to the standard widely used cubic-spline, whereas for n > 3 the interpolating function becomes more centrally condensed, being well suited to track discontinuities such as shock fronts and thermal waves. (C) 2008 Elsevier Inc. All rights reserved.
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