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

Cabezon, Ruben M. and Garcia-Senz, Domingo and Relaño, Antonio. (2008) A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies. Journal of Computational Physics, 227 (19). pp. 8523-8540.

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Official URL: https://edoc.unibas.ch/68729/

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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.
Faculties and Departments:05 Faculty of Science > Departement Physik > Former Organization Units Physics > Theoretische Physik Astrophysik (Thielemann)
10 Zentrale universitäre Einrichtungen > SciCore
UniBasel Contributors:Cabezon, Ruben M.
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Elsevier
ISSN:0021-9991
e-ISSN:1090-2716
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:08 Oct 2019 09:54
Deposited On:08 Oct 2019 09:54

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