%0 Journal Article
%T Moving least-squares corrections for smoothed particle hydrodynamics
%A Giuseppe Bilotta
%A Giovanni Russo
%A Alexis H¨¦rault
%A Ciro Del Negro
%J Annals of Geophysics
%D 2011
%I Istituto Nazionale di Geofisica e Vulcanologia (INGV)
%R 10.4401/ag-5344
%X First-order moving least-squares are typically used in conjunction with smoothed particle hydrodynamics in the form of post-processing filters for density fields, to smooth out noise that develops in most applications of smoothed particle hydrodynamics. We show how an approach based on higher-order moving least-squares can be used to correct some of the main limitations in gradient and second-order derivative computation in classic smoothed particle hydrodynamics formulations. With a small increase in computational cost, we manage to achieve smooth density distributions without the need for post-processing and with higher accuracy in the computation of the viscous term of the Navier¨CStokes equations, thereby reducing the formation of spurious shockwaves or other streaming effects in the evolution of fluid flow. Numerical tests on a classic two-dimensional dam-break problem confirm the improvement of the new approach.
%K SPH
%K MLS
%K meshfree.
%U http://www.annalsofgeophysics.eu/index.php/annals/article/view/5344