A level set approach to 3D mold filling of newtonian fluids

Proceedings of the ASME/JSME Joint Fluids Engineering Conference

Volumn 2 C, Issue , 2003, Pages 2353-2361

  Baer, Thomas A ^a   Noble, David R ^a   Rao, Rekha R ^a   Grillet, Anne M ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BUBBLES (IN FLUIDS); COMPUTATIONAL METHODS; COMPUTER SIMULATION; DEFORMATION; FILM GROWTH; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; SOLIDIFICATION; SURFACE TENSION; VISCOUS FLOW;

BUBBLE DYNAMICS; FLAME PROPAGATION;

NEWTONIAN LIQUIDS;

EID: 0348163761     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/fedsm2003-45762     Document Type: Conference Paper

References (17)

1. Hirt, C.W., and B.D. Nichols, (1988), J. Comput. Phys., 76, 349.
2. Puckett, E.G, A.S. Almgren, J.B.Bell, D.L.Marcus, and W.J. Rider, "A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows," J. Comp. Phys., 130, 269-282, (1997)
3. Gao, D.M. "A Three-dimensional Hybrid Finite Element-Volume Tracking Model for Mould Filling in Casting Processes," Int. J. Num. Meth. Fluids, 29, 877-895, (1999)
4. Brackbill, J.U., D.B. Kothe, C. Zemach, "A Continuum Method for Modeling Surface Tension," J. Comp. Phys.,100, 335-354.(1992).
5. Sethian, J.A., (1999), Level Set Methods and Fast Marching Methods, Cambridge University Press.
6. Sussman M., A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, and M.L. Welcome, (1999), "An Adaptive Level Set Approach for Incompressible Two-Phase Flows," J. Comp. Phys.,148, 81-124.
7. Sussman, M., E. Fatemi, P. Smereka, and S. Osher, (1998)"An Improved Level Set Method for Incompressible Two-Phase Flows," Computers & Fluids, 27, 663-680.
8. Sussman, M., P. Smereka, and S. Osher, "A Level Set Approach to Computing Solutions to Incompressible Two-Phase Flow," J. Comp. Phys., 114, (146-159), (1994).
9. Sussman M, and P. Smereka, " Axisymmetric free boundary Problems," J. Fluid. Mech., 341, 269-294, (1997).
10. Hetu, J-F and F. Ilinca, "A Finite element method for Casting simulations," Num. Heat. Trans. A, 36, 657-679, (1999).
11. Sackinger, P.A., P.R. Schunk, and R.R.Rao, "A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems: a finite element implementation," J. Comp. Phys., 125, 83-103, (1996)
12. Christodoulou, K.N., and L.E. Scriven, "Discretization of free surface flows and other moving boundary problems," J. Comp. Phys., 99, 39-55, (1992).
13. Donea, J. (1984), "A Taylor-Galerkin Method for Convective Transport Problems," Int. J. Num. Meth. Eng., 20, 101-119.
14. Jacqmin, D., (1995) "Three Dimensional Computations of Droplet Collisions, Coalescence, and Droplet/Wall Interactions Using a Continuum Surface-Tension Method," AIAA-95-0883.
15. Sussman, M., and E. Fatemi, "An Efficient, Interface-Preserving Level Set Redistancing Algorithm and its Application to Interfacial Incompressible Fluid Flow," SIAM J. Sci. Comput., 20(4), 1165-1191, (1999).
16. Popinet, S., and S. Zaleski, "A front-tracking algorithm for accurate representation of surface tension," Int. J. Num. Meth. Fluids, 30, 775-793, (1999).
17. Hughes, T.R., L.P. France, and M. Balestra, " A new finite element formulation for Computational Fluid Dynamics: V. Circumventing the Babuska-Brezzi conditions: A stable Petrov-Galerkin Formulation of the Stokes problem accomodating equal-order interpolations," Comput. Meth. Appl. Mech. Engrg. 59, 85-99, (1986).