Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids

Journal of Computational Physics

Volumn 229, Issue 3, 2010, Pages 527-540

  Francois, Marianne M ^a   Swartz, Blair K ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Curvature; Height function; Mean value; Nonuniform grids; Numerical differentiation; Volume of fluid

Indexed keywords

DIFFERENTIATION (CALCULUS); INTERFACES (MATERIALS); NUMERICAL METHODS; VOLUME FRACTION;

CURVATURE; HEIGHT FUNCTIONS; INTERFACE CURVATURES; MEAN VALUES; NON-UNIFORM GRIDS; NUMERICAL DIFFERENTIATION; RECTANGULAR GRIDS; SPECIAL POINTS; STENCIL POINTS; VOLUME OF FLUIDS;

POLYNOMIALS;

EID: 70449703997     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.10.022     Document Type: Article

References (17)

1. Afkhami S., and Bussmann M. Height functions for applying contact angles to 2D VOF simulations. International Journal for Numerical Methods in Fluids 57 (2008) 453-472
2. Burington R.S. Handbook of Mathematical Tables and Formulas. third ed. (1953), Handbook Publishers, Sandusky, Ohio
3. Cummins S.J., Francois M.M., and Kothe D.B. Estimating curvature from volume fractions. Computers and Structures 83 (2005) 425-434
4. Ferdowsi P.A., and Bussmann M. Second-order accurate normals from height functions. Journal of Computational Physics 227 (2008) 9293-9302
5. Francois M.M., Cummins S.J., Dendy E.D., Kothe D.B., Sicilian J.M., and Williams M.W. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. Journal of Computational Physics 213 (2006) 141-173
6. Gautschi W. Numerical Analysis: An Introduction (1997), Birkhauser, Boston
7. J. Helmsen, P. Colella, E.G. Puckett, Non-convex profile evolution in two dimensions using volume of fluids, LBNL Technical Report LBNL-40693, Lawrence Berkeley National Laboratory, 1997.
8. Hernandez J., Lopez J., Gomez P., Zanzi C., and Faura F. A new volume of fluid method in three dimensions - Part I: Multidimensional advection method with face-matched flux polyhedra. International Journal for Numerical Methods in Fluids 58 (2008) 897-921
9. Kreiss H.-O., Manteuffel T., Swartz B., Wendroff B., and White A. Supra-convergent schemes on irregular grids. Mathematics of Computation 47 (1986) 537-554
10. Lorstad D., Francois M.M., Shyy W., and Fuchs L. Assessment of volume of fluid and immersed boundary methods for droplet computations. International Journal for Numerical Methods in Fluids 46 (2004) 109-125
11. Mjolsness R., and Swartz B. Some plane curvature approximations. Mathematics of Computation 49 (1987) 215-230
12. Popinet S. An accurate adaptive solver for surface-tension-driven interfacial flows. Journal of Computational Physics 228 (2009) 5838-5866
13. Sussman M. A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. Journal of Computational Physics 187 (2003) 110-136
14. Sussman M., and Ohta M. High-order techniques for calculating surface tension forces. International Series of Numerical Mathematics 154 (2007) 425-434
15. M.D. Torrey, L.D. Cloutman, R.C. Mjolsness, C.W. Hirt, NASA-VOF2D: a computer program for incompressible flows with free surfaces, LANL Technical Report LA-10612-MS, Los Alamos National Laboratory, 1985.
16. Veldman A.E.P., Gerrits J., Luppes R., Helder J.A., and Vreeburg J.P.B. The numerical simulation of liquid sloshing on board spacecraft. Journal of Computational Physics 224 (2007) 82-99
17. .