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The convergence of the SPH method

✍ Scribed by R. Di Lisio; E. Grenier; M. Pulvirenti

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 389 KB
Volume: 35
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(97)00260-5

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✦ Synopsis

In this paper, we prove the convergence of a smooth particle flow to the solution of a regularized version of the Euler equations describing a generic polytropic fluid. This result, combined with a stability property of the Euler equations with respect to suitable regulaxizations (result of the same authors of the present paper which will be published elsewhere) allows to achieve the proof of the convergence of the so-called Smoothed Particle Hydrodynamics (SPH) method.

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