%0 Journal Article %1 citeulike:3771901 %A Sussman, M. %D 2003 %J Journal of Computational Physics %K level-set, vof 76t10-liquid-gas-two-phase-flows-bubbly-flows 76m25-other-numerical-methods-in-fluid-mechanics %N 1 %P 110--136 %R 10.1016/s0021-9991(03)00087-1 %T A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles %U http://dx.doi.org/10.1016/s0021-9991(03)00087-1 %V 187 %X We present a coupled level set/volume-of-fluid method for computing growth and collapse of vapor bubbles. The liquid is assumed incompressible and the vapor is assumed to have constant pressure in space. Second order algorithms are used for finding &\#x201c;mass conserving&\#x201d; extension velocities, for discretizing the local interfacial curvature and also for the discretization of the cell-centered projection step. Convergence studies are given that demonstrate this second order accuracy. Examples are provided that apply to cavitating bubbles.

@article{citeulike:3771901, abstract = {{We present a coupled level set/volume-of-fluid method for computing growth and collapse of vapor bubbles. The liquid is assumed incompressible and the vapor is assumed to have constant pressure in space. Second order algorithms are used for finding \&\#x201c;mass conserving\&\#x201d; extension velocities, for discretizing the local interfacial curvature and also for the discretization of the cell-centered projection step. Convergence studies are given that demonstrate this second order accuracy. Examples are provided that apply to cavitating bubbles.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Sussman, M.}, biburl = {https://www.bibsonomy.org/bibtex/2c9adcfa05779d9c9451f49561a9dede9/gdmcbain}, citeulike-article-id = {3771901}, citeulike-attachment-1 = {sussman_03_second_33662.pdf; /pdf/user/gdmcbain/article/3771901/33662/sussman_03_second_33662.pdf; ec6d52c77d9c4c498a136d704e63c5aecf81154d}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/s0021-9991(03)00087-1}, comment = {(private-note)PDF supplied by preichl Wed. 10 Dec. 2008. ---=note-separator=--- (private-note)`I think the main source of error in that simulation was due the difference in boundary conditions between the CFD solver and Rayleigh-Plesset equaiton. The Rayleigh-Plesset equation was solved for an infinite liquid layer around the bubble, whereas the CFD code has pressure boundary conditions at some finite distance. This discrepancy was highlighted by Sussman (see Figure 14 in attached paper) by comparing results to a modified 'finite domain' Rayleigh-Plesset equation.' - aomahony 2009-09-23}, day = 01, doi = {10.1016/s0021-9991(03)00087-1}, file = {sussman_03_second_33662.pdf}, interhash = {c743c14b2ff6ef477c0ef376ca857279}, intrahash = {c9adcfa05779d9c9451f49561a9dede9}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {level-set, vof 76t10-liquid-gas-two-phase-flows-bubbly-flows 76m25-other-numerical-methods-in-fluid-mechanics}, month = may, number = 1, pages = {110--136}, posted-at = {2008-12-11 00:01:21}, priority = {2}, timestamp = {2019-10-21T03:19:56.000+0200}, title = {{A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles}}, url = {http://dx.doi.org/10.1016/s0021-9991(03)00087-1}, volume = 187, year = 2003 }