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http://hdl.handle.net/2122/7602
Authors: | Bilotta, G.* Russo, G.* Herault, A.* Del Negro, C.* |
Title: | Moving least-squares corrections for smoothed particle hydrodynamics | Journal: | Annals of Geophysics | Series/Report no.: | 5/54 (2011) | Issue Date: | 2011 | DOI: | 10.4401/ag-5344 | Keywords: | Algorithms and implementation, Smoothed particle hydrodynamics, Moving least-squares, Mesh-free | Subject Classification: | 04. 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 |
Abstract: | 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–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: | Article published / in press |
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Bilotta et al 2011.pdf | 708.33 kB | Adobe PDF | View/Open |
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