%0 Journal Article %1 citeulike:4608872 %A Popinet, Stéphane %D 2009 %J Journal of Computational Physics %K vof 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows 76m12-finite-volume-methods-in-fluid-mechanics %N 16 %P 5838--5866 %R 10.1016/j.jcp.2009.04.042 %T An accurate adaptive solver for surface-tension-driven interfacial flows %U http://dx.doi.org/10.1016/j.jcp.2009.04.042 %V 228 %X A method combining an adaptive quad/octree spatial discretisation, geometrical Volume-Of-Fluid interface representation, balanced-force continuum-surface-force surface-tension formulation and height-function curvature estimation is presented. The extension of these methods to the quad/octree discretisation allows adaptive variable resolution along the interface and is described in detail. The method is shown to recover exact equilibrium (to machine accuracy) between surface-tension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution. Accurate solutions are obtained for the classical test case of capillary wave oscillations. An application to the capillary breakup of a jet of water in air further illustrates the accuracy and efficiency of the method. The source code of the implementation is freely available as part of the Gerris flow solver.

@article{citeulike:4608872, abstract = {{A method combining an adaptive quad/octree spatial discretisation, geometrical Volume-Of-Fluid interface representation, balanced-force continuum-surface-force surface-tension formulation and height-function curvature estimation is presented. The extension of these methods to the quad/octree discretisation allows adaptive variable resolution along the interface and is described in detail. The method is shown to recover exact equilibrium (to machine accuracy) between surface-tension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution. Accurate solutions are obtained for the classical test case of capillary wave oscillations. An application to the capillary breakup of a jet of water in air further illustrates the accuracy and efficiency of the method. The source code of the implementation is freely available as part of the Gerris flow solver.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Popinet, St\'{e}phane}, biburl = {https://www.bibsonomy.org/bibtex/290300f1bec78871a2b8b879d266a5250/gdmcbain}, citeulike-article-id = {4608872}, citeulike-attachment-1 = {popinet_09_accurate_33756.pdf; /pdf/user/gdmcbain/article/4608872/33756/popinet_09_accurate_33756.pdf; f8f84166a2f65d2448db5c2af1257669dfece7f3}, citeulike-attachment-2 = {popinet_09_accurate_816341.pdf; /pdf/user/gdmcbain/article/4608872/816341/popinet_09_accurate_816341.pdf; 652a536e4a20c23ca38aafdc649fdc3ad1234139}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jcp.2009.04.042}, comment = {(private-note)circulated by the author to the gfs-users mailing list 2009-07-02}, day = 01, doi = {10.1016/j.jcp.2009.04.042}, interhash = {221034bb9f583eee0bfd71138392c977}, intrahash = {90300f1bec78871a2b8b879d266a5250}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {vof 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows 76m12-finite-volume-methods-in-fluid-mechanics}, month = sep, number = 16, pages = {5838--5866}, posted-at = {2009-07-02 01:18:41}, priority = {2}, timestamp = {2019-02-28T23:44:28.000+0100}, title = {{An accurate adaptive solver for surface-tension-driven interfacial flows}}, url = {http://dx.doi.org/10.1016/j.jcp.2009.04.042}, volume = 228, year = 2009 }