Article information

2003 , Volume 8, Special issue, p.18-32

Frank A.M.

Method of particles for simulation of incompressible flows with free surface

A review of particle method and its applications to the simulation of different incompressible flows with a free surface are presented. The method is free-Lagrange one and is a kind of special Galerkin method, where convective transport is being calculated by means of material particle motion. As a result, the material derivative is calculated in Lagrange variables, while the mass forces, inner and surface stresses - in Eulerian variables. The main advantages of the method are good accuracy and efficiency for smooth flows combined with the possibility to simulate complicated flows in arbitrary enough regions with moving and free boundaries, including the change of connectivity of the latter. The problems on surface waves, ball suspension by thin liquid jet, thin-film flows on a locally heated substrate are considered.

Classificator Msc2000:
*65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M28 Particle methods and lattice-gas methods

Keywords: governing equations, numerical scheme, travelling periodic wave, ball in a jet

Author(s):
Frank A.M.
Dr. , Professor
Position: General Scientist
Address: 660036, Russia, Krasnoyarsk
E-mail: frank@icm.krasn.ru


Bibliography link:
Frank A.M. Method of particles for simulation of incompressible flows with free surface // Computational technologies. 2003. V. 8. The Special Issue: Proceedings of the Russian-German Advanced Research Workshop on Computer Science and High Performance Computing, Part 2. P. 18-32
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