Please use this identifier to cite or link to this item: http://hdl.handle.net/2122/7602
AuthorsBilotta, G.* 
Russo, G.* 
Herault, A.* 
Del Negro, C.* 
TitleMoving least-squares corrections for smoothed particle hydrodynamics
Issue Date2011
Series/Report no.5/54 (2011)
DOI10.4401/ag-5344
URIhttp://hdl.handle.net/2122/7602
KeywordsAlgorithms and implementation, Smoothed particle hydrodynamics, Moving least-squares, Mesh-free
Subject Classification04. Solid Earth::04.08. Volcanology::04.08.99. General or miscellaneous 
05. General::05.01. Computational geophysics::05.01.99. General or miscellaneous 
05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous 
AbstractFirst-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–Stokes 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.
Appears in Collections:Papers Published / Papers in press

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