Vol. 2, No. 1, 2014

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Particles for fluids: SPH versus vortex methods

Andrea Colagrossi, Giorgio Graziani and Mario Pulvirenti

Vol. 2 (2014), No. 1, 45–70
Abstract

We review the basic ideas underlying two popular particle methods for fluids: smoothed-particle hydrodynamics and the vortex method. We discuss convergence problems, numerical schemes, and examples of practical simulations.

Keywords
particle methods, smoothed-particle hydrodynamics, vortex method, convergence, viscous flows
Mathematical Subject Classification 2010
Primary: 35Q30, 35Q35, 76D17, 35Q31
Secondary: 35L60, 35Q70
Milestones
Received: 5 November 2012
Revised: 20 February 2013
Accepted: 4 April 2013
Published: 4 December 2013

Communicated by Raffaele Esposito
Authors
Andrea Colagrossi
CNR-INSEAN
Via di Vallerano 139
I-00128 Rome
Italy
Giorgio Graziani
Dipartimento di Ingegneria Meccanica e Aerospaziale
Universitá di Roma “La Sapienza”
Via Eudossiana 18
I-00184 Rome
Italy
Mario Pulvirenti
Dipartimento di Matematica
Universitá di Roma “La Sapienza”
Piazzale Aldo Moro 2
I-00185 Rome
Italy