Second-order model for free surface convection and interface reconstruction

International Journal for Numerical Methods in Fluids

Volumn 26, Issue 1, 1998, Pages 79-100

  Kim, Seong O ^a   No, Hee Cheon ^b  

^a Korea Atomic Energy Research Institute   (South Korea)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Free surface flows; Second order model; Volume of fluid method

Indexed keywords

ALGORITHMS; HYDRODYNAMICS; MATHEMATICAL MODELS; PHASE INTERFACES; SURFACE PHENOMENA; TWO PHASE FLOW;

FREE SURFACE FLOW;

NATURAL CONVECTION;

ALGORITHM; CONVECTION; FREE SURFACE FLOW; MODEL;

ALGORITHMS; CONVECTION; FREE SURFACE; MODELS; SECOND ORDER;

EID: 0031922648     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19980115)26:1<79::aid-fld627>3.0.co;2-9     Document Type: Article

References (21)

1. J. F. Milthorpe and R. I. Tanner, 'Boundary element method for free surface viscous flows', 7th Australian Hydraulics and Fluid Mechanics Conf., Brisbane, August 1980.
2. M. Natori and H. Kawarada, 'Numerical solution of free surface drainage problem of two immiscible fluids by the boundary element method', Jpn. J. Appl. Phys., 24, 1359-1362 (1985).
3. H. C. Henderson, M. Kok and W. L. de Koning, 'Computer-aided spillway design using the boundary element method and non-linear programming', Int. j. numer. meth. fluids, 13, 625-641 (1991).
4. R. Bonnerot and P. Jamet, 'Numerical computation of the free boundary for the problem by space-time elements', J. Comput. Phys., 25, 163-181 (1977).
5. D. R. Lynch, 'Unified approach to simulation on deforming elements with application to phase change problems' J. Comput. Phys., 47, 387-411 (1982).
6. P. Bach and O. Hassager, 'An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free-surface flow', J. Fluid Mech., 152, 173-190 (1985).
7. I. S. Kang and L. G. Leal, 'Numerical solution of axisymmetric, unsteady free-boundary problems at finite Reynolds number. I. Finite-difference scheme and its application to the deformation of a bubble in a uniaxial straining flow', Phys. Fluids, 30 1929-1940 (1987).
8. G. Ryskin and L. G. Leal, 'Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique', I. Fluid Mech., 148, 1-17 (1984).
9. N. S. Asaithambi, 'Computation of free-surface flows', J. Comput. Phys., 73, 380-394 (1987).
10. F. H. Harlow and J. F. Welch, 'Numerical calculations of time-dependent viscous incompressible flow of fluid with free surface', Phys. Fluids, 8, 2182-2189 (1965).
11. R. K.-C. Chan and R. L. Street, 'A computer study of finite-amplitude water waves', J. Comput. Phys., 6, 68-94 (1970).
12. H. Miyata, 'Finite difference simulation of breaking waves' J. Comput. Phys., 65, 179-214 (1986).
13. C. W. Hirt and B. D. Nichols, 'Volume of fluid (VOF) methods for the dynamics of free boundaries', J. Comput. Phys., 39, 201-225 (1981).
14. B. D. Nichols, C. W. Hirt and R. S. Hotchkiss, 'SOLA-VOF: a solution algorithm for transient fluid flow with multiple free boundaries', Los Alamos Scientific Laboratory Rep. LA-8355, 1980 (unpublished).
15. I. S. Partom, 'Application of the VOF method to the sloshing of a fluid in a partially filled cylindrical container', Int. j. numer. meth. fluids, 7, 535-550 (1987).
16. W. F. Noh and P. Woodward, 'SLIC (simple line surface calculation)', in A. I. van de Vooren and P. J. Zandbergen (eds), Lecture Notes in Physics, Vol. 59, Springer, New York, 1976.
17. A. J. Chorin, 'Flame advection and propagation algorithm', J. Comput. Phys., 35, 1-11 (1980).
18. A. J. Chorin, 'Curvature and solidification', J. Comput. Phys., 57, 472-490 (1985).
19. D. L. Youngs, in K. W. Morton and M. J. Baineks (eds), Numerical Methods for Fluid Dynamics, Academic, New York, 1982.
20. N. Ashgriz and J. Y. Poo, 'FLAIR (flux line-segment model for advection and interface reconstruction)', J. Comput. Phys., 93, 449-468 (1991).
21. M. R. Spiegel, Mathematical Handbook of Formulas and Tables in Schaums Outline Series, 1968.