DOI: 10.1006/jcph.2001.6713. An Adaptive Mesh Algorithm for Evolving Surfaces: Simulations of Drop Breakup and Coalescence

An Adaptive Mesh Algorithm for Evolving Surfaces: Simulations of Drop Breakup and Coalescence

10.1006/jcph.2001.6713

Crossref journal-article

Elsevier BV

Journal of Computational Physics (78)

Bibliography

Cristini, V., BÅawzdziewicz, J., & Loewenberg, M. (2001). An Adaptive Mesh Algorithm for Evolving Surfaces: Simulations of Drop Breakup and Coalescence. Journal of Computational Physics, 168(2), 445â463.

Authors 3

Vittorio Cristini (first)
Jerzy Bławzdziewicz (additional)
Michael Loewenberg (additional)

References 34 Referenced 181

A. J. Stoddart, A. Hilton, and J. Illingworth, SLIME: A new deformable surface, in Proceedings British Machine Vision Conference 1994, pp. 285–294. (10.5244/C.8.28)
10.1016/0262-8856(96)01102-X / Image Vision Comput. / An efficient 3d deformable model with a self-optimizing mesh by Bulpitt (1996)
10.1006/cviu.1999.0810 / Comput. Vision Image Understanding / Bias-variance analysis for controlling adaptive surface meshes by Wilson (2000)
10.1146/annurev.fluid.29.1.473 / Ann. Rev. Fluid. Mech. / Unstructured grid techniques by Mavriplis (1997)
10.1016/0021-9991(92)90307-K / J. Comput. Phys. / A front-tracking method for viscous, incompressible, multi-fluid flows by Unverdi (1992)
10.1006/jcph.1998.6030 / J. Comput. Phys. / Adaptive triangulation of evolving, closed, or open surfaces by the advancing-front method by Kwak (1998)
C. L. Lawson, Software for C1 surface interpolation, in Mathematical Software III, edited by J. R. RiceAcademic Press, New York, 1977, pp. 161–194. (10.1016/B978-0-12-587260-7.50011-X)
10.1007/BF00977785 / Int. J. Computer Information Sci. / Two algorithms for constructing a Delaunay triangulation by Lee (1980)
10.1007/BF02153649 / The Visual Computer / Surface representation based on triangular grids by De Floriani (1987)
10.1017/S002211208100116X / J. Fluid Mech. / A numerical study of the deformation and burst of a viscous drop in general linear shear flows by Rallison (1981)
10.1145/15886.15906 / SIGGRAPH / An adaptive subdivision method for surface fitting from sampled data by Schmitt (1986)
{'key': '10.1006/jcph.2001.6713_RF12', 'author': 'Bartels', 'year': '1987', 'journal-title': 'An Introduction to the Use of Splines in Computer Graphics'} / An Introduction to the Use of Splines in Computer Graphics by Bartels (1987)
10.1006/jcph.1999.6384 / J. Comput. Phys. / An efficient algorithm for hydrodynamical interaction of many deformable drops by Zinchenko (2000)
10.1063/1.869275 / Phys. Fluids A / A novel boundary-integral algorithm for viscous interaction of deformable drops by Zinchenko (1997)
10.1017/S002211209600777X / J. Fluid Mech. / Numerical simulation of a concentrated emulsion in shear flows by Loewenberg (1996)
10.1017/S0022112078002530 / J. Fluid Mech. / A numerical study of the deformation and burst of a drop in an extensional flow by Rallison (1978)
10.1017/CBO9780511624124 / Boundary Integral and Singularity Methods for Linearized Viscous Flow by Pozrikidis (1992)
10.1137/0907058 / SIAM J. Sci. Stat. Comput. / GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems by Saad (1986)
10.1017/S0022112097005016 / J. Fluid Mech. / Collision of deformable drops in shear-flow by Loewenberg (1997)
10.1063/1.869697 / Phys. Fluids / Drop breakup in three-dimensional viscous flows by Cristini (1998)
10.1017/S0022112092002738 / J. Fluid Mech. / Satellite and subsatellite formation in capillary breakup by Tjahjadi (1992)
10.1122/1.550385 / J. Rheol. / Droplet breakup mechanisms: Stepwise equilibrium versus transient dispersion by Janssen (1993)
{'key': '10.1006/jcph.2001.6713_RF23', 'first-page': '2125', 'article-title': 'Analysis of drop breakup in creeping flows', 'volume': '42', 'author': 'Bławzdziewicz', 'year': '1997', 'journal-title': 'Bull. Am. Phys. Soc.'} / Bull. Am. Phys. Soc. / Analysis of drop breakup in creeping flows by Bławzdziewicz (1997)
10.1063/1.869799 / Phys. Fluids / Capillary breakup of a viscous thread surrounded by another viscous fluid by Lister (1998)
D. Papadopoulos, M. Nemer, X. Chen, J. Blawzdziewicz, and, M. Loewenberg, unpublished.
10.1017/S0022112097007921 / J. Fluid Mech. / Binary collision of drops in simple shear flow by computer-assisted video optical microscopy by Guido (1998)
T. W. Secomb, Mechanics of blood flow in the microcirculation, in, Biological Fluid Dynamics, edited by, C. P. Ellinton and T. J. Pedley, Company of Biologists, Cambridge, UK, 1995.
10.1146/annurev.fl.21.010189.001123 / Ann. Rev. Fluid Mech. / Biofluid mechanics by Skalak (1989)
{'key': '10.1006/jcph.2001.6713_RF29', 'author': 'Evans', 'year': '1980', 'journal-title': 'Mechanics and Thermodynamics of Biomembranes'} / Mechanics and Thermodynamics of Biomembranes by Evans (1980)
10.1017/S0022112086002355 / J. Fluid Mech. / Flow of axisymmetric red blood cells in narrow capillaries by Secomb (1986)
{'key': '10.1006/jcph.2001.6713_RF31', 'author': 'Hughes', 'year': '1987', 'journal-title': 'The Finite-Element Method: Linear Static and Dynamic Finite Element Analysis'} / The Finite-Element Method: Linear Static and Dynamic Finite Element Analysis by Hughes (1987)
10.1016/0895-6111(94)00040-9 / Comput. Medical Imaging Graphics / A dynamic finite-element surface model for segmentation and tracking in multidimensional medical images with application to cardiac 4D image-analysis by McInerney (1995)
{'key': '10.1006/jcph.2001.6713_RF33', 'first-page': '247', 'article-title': 'Constructing topologically connected surfaces for the comprehensive analysis of 3D medical structures', 'volume': '1445', 'author': 'Kalvin', 'year': '1991', 'journal-title': 'SPIE Image Process.'} / SPIE Image Process. / Constructing topologically connected surfaces for the comprehensive analysis of 3D medical structures by Kalvin (1991)
{'key': '10.1006/jcph.2001.6713_RF34', 'first-page': '147', 'article-title': 'Hierarchical triangulation using cartographic coherence', 'volume': '54', 'author': 'Scarlatos', 'year': '1992', 'journal-title': 'CVGIP: Graphical Models Image Process.'} / CVGIP: Graphical Models Image Process. / Hierarchical triangulation using cartographic coherence by Scarlatos (1992)

Dates

Type	When
Created	22 years, 11 months ago (Sept. 18, 2002, 9:38 a.m.)
Deposited	5 years, 8 months ago (Dec. 16, 2019, 4:42 a.m.)
Indexed	3 weeks, 2 days ago (Aug. 6, 2025, 8:13 a.m.)
Issued	24 years, 4 months ago (April 1, 2001)
Published	24 years, 4 months ago (April 1, 2001)
Published Print	24 years, 4 months ago (April 1, 2001)

Funders 0

None

BibTeX

@article{Cristini_2001, title={An Adaptive Mesh Algorithm for Evolving Surfaces: Simulations of Drop Breakup and Coalescence}, volume={168}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.2001.6713}, DOI={10.1006/jcph.2001.6713}, number={2}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Cristini, Vittorio and Bławzdziewicz, Jerzy and Loewenberg, Michael}, year={2001}, month=apr, pages={445–463} }

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