Adaptive Triangulation of Evolving, Closed, or Open Surfaces by the Advancing-Front Method

Journal of Computational Physics

Volumn 145, Issue 1, 1998, Pages 61-88

  Kwak, S ^a   Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFACES (MATERIALS); NUMERICAL METHODS; SHEAR FLOW;

ADVANCING FRONT METHOD; CLOSED SURFACES; DISCRETIZATIONS; FREE BOUNDARY; ONE-DIMENSIONAL; QUADRATIC TRIANGULAR ELEMENT; SCIENCE AND ENGINEERING; SCIENCE APPLICATIONS; THREE-DIMENSIONAL SURFACE; UNSTRUCTURED GRID;

REYNOLDS NUMBER;

EID: 0002723078     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6030     Document Type: Article

References (25)

1. Kennedy M. R., Pozrikidis C., Skalak R. Motion and deformation of liquid drops and the rheology of dilute emulsions in simple flow. Comput. & Fluids. 23:1994;251.
2. Ramanujan S., Pozrikidis C. Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: large deformations and the effect of capsule viscosity. J. Fluid Mech. 361:1998;117.
3. Coulliette C., Pozrikidis C. Motion of an array of drops through a cylindrical tube. J. Fluid Mech. 358:1998;1.
4. S. Yon, C. Pozrikidis, A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop, Comput. & Fluids.
5. Giraldo F. X. Lagrange-Galerkin methods on spherical geodesic grids. J. Comput. Phys. 136:1997;197.
6. Mavriplis D. J. Unstructured grid techniques. Ann. Rev. Fluid Mech. 29:1997;473.
7. Loewenberg M., Hinch E. J. Numerical simulation of a concentrated suspension in shear flow. J. Fluid Mech. 321:1996;395.
8. Zinchenko A. Z., Rother M. A., Davis R. H. A novel boundary-integral algorithm for viscous interaction of deformable drops. Phys. Fluids. 9:1997;1493.
9. Cristini V., Blawzdziewicz J., Loewenberg M. Drop breakup in three-dimensional viscous flows. Phys. Fluids. 10:1998;1781.
10. S. Yon, C. Pozrikidis, Deformation of a liquid drop or gas bubble adhering to a plane wall: Significance of the drop viscosity and the effect of an insoluble surfactant.
11. Hamann B., Trotts I., Farin G. On approximating contous of the piecewise trilinear interpolant using triangular rational-quadratic Bézier patches. IEEE Trans. Vis. Comput. Graph. 3:1997;215.
12. Nakahashi K., Deiwert G. S. Self-adaptive-grid method with application to airfoil flow. AIAA J. 25:1987;513.
13. Lo S. H. A new mesh generation scheme for arbitrary planar domains. Int. J. Numer. Methods Eng. 21:1985;1403.
14. Peraire J., Vahdati M., Morgan K., Zienkiewicz O. C. Adaptive remeshing for compressible flow computations. J. Comput. Phys. 72:1987;449.
15. Hinton E., Rao N. V. R., Ozakca M. Mesh generation with adaptive finite element analysis. Adv. Eng. Software. 13:1991;238.
16. Nakahashi K., Sharov D. Direct Surface Triangulation Using the Advancing Front Method. 1995.
17. George P. L., Seveno E. The advancing front mesh generation method revisited. Int. J. Numer. Methods Eng. 37:1994;3605.
18. Löhner R. Regridding surface triangulations. J. Comput. Phys. 126:1996;1.
19. Pozrikidis C., Higdon J. J. L. Nonlinear Kelvin-Helmholtz instability of a finite vortrex layer. J. Fluid Mech. 157:1985;225.
20. Hamann B., Chen J.-L. Data point selection for piecewise linear curve approximation. Comput. Aided Geom. Design. 11:1994;289.
21. Pozrikidis C. Numerical Computation in Science and Engineering. 1998.
22. Pozrikidis C. Introduction to Theoretical and Computational Fluid Dynamics. 1997.
23. Rumscheidt F. D., Mason S. G. Particle motions in sheared suspensions. XII. Deformation and burst of fluid drops in shear and hyperbolic flow. J. Colloid Sci. 16:1961;238.
24. Rallison J. M. The deformation of small viscous drops and bubbles in shear flows. Ann. Rev. Fluid Mech. 16:1984;45.
25. Cox R. G. The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 37:1969;601.