Summary
A review of particle method and its applications to the simulation of different incompressible flows with a free surface is 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.
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© 2005 Springer-Verlag Berlin Heidelberg
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Frank, A.M. (2005). Method of particles for incompressible flows with free surface. In: Krause, E., Shokin, Y.I., Resch, M., Shokina, N. (eds) Computational Science and High Performance Computing. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32376-7_11
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DOI: https://doi.org/10.1007/3-540-32376-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24120-1
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