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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