An Improved CSPM Approach for Accurate Second-Derivative Approximations with SPH

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Samenvatting

We compare several approximations for second derivatives with Smoothed Particle Hydrodynamics (SPH). A first-order consistent approximation, derived
from the zeroth-order consistent Corrective Smoothed Particle Method
(CSPM), is proposed. The accuracy of the new method (ICSPM) is similar to
that of the Finite Particle Method (FPM) and Modified Smoothed Particle
Hydrodynamics (MSPH), but it is computationally less expensive. We demonstrate
the accuracy of our method by studying heat conduction in a slab
with discontinuous conductivity coefficients. We use both uniformly and
pseudo-randomly distributed particles.
Originele taal-2Engels
Pagina's (van-tot)168-184
Aantal pagina's17
TijdschriftJournal of Applied Mathematics and Physics
Volume5
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 25 jan 2017

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