A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies

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A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies

JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)

ID	4496131
Author(s)	Cabezon, Ruben M.; Garcia-Senz, Domingo; Relaño, Antonio
Author(s) at UniBasel	Cabezon, Ruben
Year	2008
Title	A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies
Journal	Journal of Computational Physics
Volume	227
Number	19
Pages / Article-Number	8523-8540
Abstract	A set of interpolating functions of the type f(v)={sin (vπ/2)/(vπ/2} 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.
Publisher	Elsevier
ISSN/ISBN	0021-9991 ; 1090-2716
URL	https://www.sciencedirect.com/science/article/pii/S0021999108003148?via%3Dihub
edoc-URL	https://edoc.unibas.ch/68729/
Full Text on edoc	No
Digital Object Identifier DOI	10.1016/j.jcp.2008.06.014
ISI-Number	000259753700003
Document type (ISI)	Article

27/04/2024

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