Premium
Numerical simulation of non‐viscous liquid pinch off using a coupled level set boundary integral method
Author(s) -
Garzon Maria,
Sethian James A.,
Gray Len
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700180
Subject(s) - pinch , inviscid flow , z pinch , rotational symmetry , mechanics , laplace's equation , boundary (topology) , laplace transform , level set method , capillary action , galerkin method , flow (mathematics) , no slip condition , physics , potential flow , boundary value problem , mathematics , mathematical analysis , computer science , thermodynamics , mixed boundary condition , finite element method , segmentation , artificial intelligence , nuclear physics , image segmentation
Abstract The pinch off of an inviscid fluid column is described using a potential flow model with capillary forces. The interface velocity is obtained via a Galerkin boundary integral method for the 3D axisymmetric Laplace equation, whereas the interface location and the velocity potential on the free boundary are both approximated using level set techniques on a fixed domain. The algorithm is validated computing the Raleigh‐Taylor instability for liquid columns which provides an analytical solution for short times. The simulations show the time evolution of the fluid tube and the algorithm is capable of handling pinch‐off and after pinch‐off events. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)