메뉴 건너뛰기




Volumn 24, Issue 2, 2005, Pages 147-162

Finite element simulation of three-dimensional free-surface flow problems

Author keywords

Finite element method; Free surface flow; Moving grids

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; ROBUSTNESS (CONTROL SYSTEMS);

EID: 23944462988     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4611-0     Document Type: Conference Paper
Times cited : (34)

References (37)
  • 1
    • 0034126630 scopus 로고    scopus 로고
    • A finite element method for free surface flows of incompressible fluids in three dimensions. Part II. Dynamic wetting lines
    • Baer, T. A., Cairncross, R. A., Schunk, P. R., Rao, R. R., and Sackinger, P. A. (2000). A finite element method for free surface flows of incompressible fluids in three dimensions. Part II. Dynamic wetting lines. Int. J. Num. Meth. Fluids 33, 405-427.
    • (2000) Int. J. Num. Meth. Fluids , vol.33 , pp. 405-427
    • Baer, T.A.1    Cairncross, R.A.2    Schunk, P.R.3    Rao, R.R.4    Sackinger, P.A.5
  • 2
    • 0025849214 scopus 로고
    • An alternating digital tree (ADT) algorithm for 3d geometric searching and intersection problems
    • Bonet, J., and Peraire, J. (1991). An alternating digital tree (ADT) algorithm for 3d geometric searching and intersection problems. Int. J. Num. Meth. Eng. 31, 1-17.
    • (1991) Int. J. Num. Meth. Eng. , vol.31 , pp. 1-17
    • Bonet, J.1    Peraire, J.2
  • 3
    • 0032608183 scopus 로고    scopus 로고
    • Direct numerical simulation of three-dimensional bubbly flows
    • Bunner, B., and Tryggvason, G. (1999). Direct numerical simulation of three-dimensional bubbly flows. Phys. of Fluids (Letters) 11, 1967-1969.
    • (1999) Phys. of Fluids (Letters) , vol.11 , pp. 1967-1969
    • Bunner, B.1    Tryggvason, G.2
  • 4
    • 0034088174 scopus 로고    scopus 로고
    • A finite element method for free surface flows of incompressible fluids in three dimensions. Part I. Boundary fitted mesh motion
    • Cairncross, R. A., Schunk, P. R., Baer, T. A., Rao, R. R., and Sackinger, P. A. (2000). A finite element method for free surface flows of incompressible fluids in three dimensions. Part I. Boundary fitted mesh motion. Int. J. Num. Meth. Fluids 33, 375-403.
    • (2000) Int. J. Num. Meth. Fluids , vol.33 , pp. 375-403
    • Cairncross, R.A.1    Schunk, P.R.2    Baer, T.A.3    Rao, R.R.4    Sackinger, P.A.5
  • 5
    • 0037050749 scopus 로고    scopus 로고
    • Numerical errors of the volume-of-fluid interface tracking algorithm
    • Cerne, G., Petelin, S., and Tiselj, I. (2002). Numerical errors of the volume-of-fluid interface tracking algorithm. Int. J. Num. Meth. Fluids 38, 329-350.
    • (2002) Int. J. Num. Meth. Fluids , vol.38 , pp. 329-350
    • Cerne, G.1    Petelin, S.2    Tiselj, I.3
  • 6
    • 33645447641 scopus 로고    scopus 로고
    • Efficient and accurate time adaptive multigrid simulations of droplet spreading
    • To appear
    • Gaskell, P. H., Jimack, P. K., Sellier M., and Thompson, H. M. (2003). Efficient and accurate time adaptive multigrid simulations of droplet spreading. Int. J. Num. Meth. Fluids. (To appear).
    • (2003) Int. J. Num. Meth. Fluids
    • Gaskell, P.H.1    Jimack, P.K.2    Sellier, M.3    Thompson, H.M.4
  • 9
    • 0019367877 scopus 로고
    • Volume of fluids methods for the dynamics of free boundaries
    • Hirt, C. W. and Nichols, B. D. (1981). Volume of fluids methods for the dynamics of free boundaries. J. Comput. Phys. 39, 201-225.
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 10
    • 0037250656 scopus 로고    scopus 로고
    • A preconditioner for the steady-state Navier-Stokes equations
    • Kay, D., Loghin, D., and Wathen, A. J. (2001). A preconditioner for the steady-state Navier-Stokes equations. SIAM J. Sci. Comput. 24, 237-256.
    • (2001) SIAM J. Sci. Comput. , vol.24 , pp. 237-256
    • Kay, D.1    Loghin, D.2    Wathen, A.J.3
  • 11
    • 0025433221 scopus 로고
    • Viscous sintering: The surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface
    • Kuiken, H. K. (1990). Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface. J. Fluid Mech. 214, 503-515.
    • (1990) J. Fluid Mech. , vol.214 , pp. 503-515
    • Kuiken, H.K.1
  • 12
    • 0019367284 scopus 로고
    • Continuously deforming finite elements for the solution of parabolic problems, with and without phase change
    • Lynch, D. R., and O'Neill, K. (1981). Continuously deforming finite elements for the solution of parabolic problems, with and without phase change. Int. J. Num. Meth. Fluids 17, 81-96.
    • (1981) Int. J. Num. Meth. Fluids , vol.17 , pp. 81-96
    • Lynch, D.R.1    O'Neill, K.2
  • 13
    • 0001308562 scopus 로고    scopus 로고
    • The development of transient fingering patterns during the spreading of surfactant coated films
    • Marar, O. K., and Troians, S. M. (1999). The development of transient fingering patterns during the spreading of surfactant coated films. Phys. of Fluids 11, 3232-3246.
    • (1999) Phys. of Fluids , vol.11 , pp. 3232-3246
    • Marar, O.K.1    Troians, S.M.2
  • 14
    • 0000298972 scopus 로고
    • A spine-flux method for simulating free surface flows
    • Mashayek, F., and Ashgriz, N. (1995). A spine-flux method for simulating free surface flows. J. Comput. Phys. 122, 367-399.
    • (1995) J. Comput. Phys. , vol.122 , pp. 367-399
    • Mashayek, F.1    Ashgriz, N.2
  • 15
    • 0003346768 scopus 로고
    • Finite difference simulation of breaking waves
    • Miyata, H. (1986). Finite difference simulation of breaking waves. J. Comput. Phys. 65, 179-214.
    • (1986) J. Comput. Phys. , vol.65 , pp. 179-214
    • Miyata, H.1
  • 16
    • 0001312926 scopus 로고
    • Unsteady spreading of thin liquid films with small surface tension
    • Moriarty, J. A., Schwartz, L. W., and Tuck, E. O. (1991). Unsteady spreading of thin liquid films with small surface tension. Phys. of Fluids 3, 733-751.
    • (1991) Phys. of Fluids , vol.3 , pp. 733-751
    • Moriarty, J.A.1    Schwartz, L.W.2    Tuck, E.O.3
  • 17
    • 0027608057 scopus 로고
    • Lagrangian finite-element analysis of time-dependent free-surface flow using an automatic remeshing technique - Application to metal casting
    • Muttin, F., Coupez, T., Bellet M., and Chenot, J. L. (1993). Lagrangian finite-element analysis of time-dependent free-surface flow using an automatic remeshing technique - application to metal casting. Int. J. Num. Meth. Eng. 36, 2001-2015.
    • (1993) Int. J. Num. Meth. Eng. , vol.36 , pp. 2001-2015
    • Muttin, F.1    Coupez, T.2    Bellet, M.3    Chenot, J.L.4
  • 18
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher, S., and Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 1-49.
    • (1988) J. Comput. Phys. , vol.79 , pp. 1-49
    • Osher, S.1    Sethian, J.A.2
  • 19
    • 0033619689 scopus 로고    scopus 로고
    • The solution of two-dimensional free-surface problems using automatic mesh generation
    • Peterson, R. C., Jimack, P. K., and Kelmanson, M. A. (1999). The solution of two-dimensional free-surface problems using automatic mesh generation. Int. J. Num. Meth. Fluids 31, 937-960.
    • (1999) Int. J. Num. Meth. Fluids , vol.31 , pp. 937-960
    • Peterson, R.C.1    Jimack, P.K.2    Kelmanson, M.A.3
  • 20
    • 57249093687 scopus 로고    scopus 로고
    • On the stability of viscous, free-surface flow supported by a rotating cylinder
    • Peterson, R. C., Jimack, P. K., and Kelmanson, M. A. (2001). On the stability of viscous, free-surface flow supported by a rotating cylinder. Proc. Roy. Soc. Lond. A457, 1427-1445.
    • (2001) Proc. Roy. Soc. Lond. , vol.A457 , pp. 1427-1445
    • Peterson, R.C.1    Jimack, P.K.2    Kelmanson, M.A.3
  • 21
    • 0346010745 scopus 로고    scopus 로고
    • Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs
    • Department of Mathematics, University of Manchester, UK
    • Powell, C. E., and Silvester, D. J. (2002). Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Numerical Analysis Report No. 415. Department of Mathematics, University of Manchester, UK.
    • (2002) Numerical Analysis Report No. 415. , vol.415
    • Powell, C.E.1    Silvester, D.J.2
  • 22
    • 33645445921 scopus 로고
    • The deformation of a liquid film flowing down an inclined plane wall over a small particle arrested on the wall
    • Pozrikidis, C., and Thoroddsen, S. T. (1991). The deformation of a liquid film flowing down an inclined plane wall over a small particle arrested on the wall. Phil. Trans. Roy. Soc. A340, 1-45.
    • (1991) Phil. Trans. Roy. Soc. , vol.A340 , pp. 1-45
    • Pozrikidis, C.1    Thoroddsen, S.T.2
  • 23
    • 0023127822 scopus 로고
    • Lagrangian finite-element analysis applied to viscous free-surface fluid flow
    • Ramaswamy, B., and Kawahara, M. (1987). Lagrangian finite-element analysis applied to viscous free-surface fluid flow. Int. J. Num. Meth. Fluids 7, 953-984.
    • (1987) Int. J. Num. Meth. Fluids , vol.7 , pp. 953-984
    • Ramaswamy, B.1    Kawahara, M.2
  • 24
    • 0001804750 scopus 로고
    • Study of coating flow by the finite element method
    • Saito, H., and Scriven, L. E. (1981). Study of coating flow by the finite element method. J. Comput. Phys. 42, 53-76.
    • (1981) J. Comput. Phys. , vol.42 , pp. 53-76
    • Saito, H.1    Scriven, L.E.2
  • 25
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • Scardovelli, R., and Zaleski, S. (1999). Direct numerical simulation of free-surface and interfacial flow. Annual Rev. Fluid Mech. 31, 567-603.
    • (1999) Annual Rev. Fluid Mech. , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 26
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • Schmidt, A. (1996). Computation of three dimensional dendrites with finite elements. J. Comput. Phys. 125, 293-312.
    • (1996) J. Comput. Phys. , vol.125 , pp. 293-312
    • Schmidt, A.1
  • 27
    • 84880765336 scopus 로고    scopus 로고
    • NEIGEN - An advancing front 2D/3D-mesh generator based on abstract rules
    • Schöberl, J. (1997). NEIGEN - An advancing front 2D/3D-mesh generator based on abstract rules. Comput. Visual. Sci. 1, 41-52.
    • (1997) Comput. Visual. Sci. , vol.1 , pp. 41-52
    • Schöberl, J.1
  • 28
    • 0032104513 scopus 로고    scopus 로고
    • Simulation of droplet motion on low-energy and heterogeneous surfaces
    • Schwartz, L. W., and Eley, R. R. (1998). Simulation of droplet motion on low-energy and heterogeneous surfaces. J. Colloid Inter. Sci. 202, 173-188.
    • (1998) J. Colloid Inter. Sci. , vol.202 , pp. 173-188
    • Schwartz, L.W.1    Eley, R.R.2
  • 30
    • 0032566424 scopus 로고    scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows
    • Soulaimani, A., and Saad, Y. (1998). An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Comput. Meth. Appl. Mech. Eng. 162, 70-106.
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.162 , pp. 70-106
    • Soulaimani, A.1    Saad, Y.2
  • 31
    • 0002532545 scopus 로고
    • Dynamics of drop deformation and breakup in viscous fluids
    • Stone, H. A. (1994). Dynamics of drop deformation and breakup in viscous fluids. Annual Rev. Fluid Mech. 26, 05-102.
    • (1994) Annual Rev. Fluid Mech. , vol.26 , pp. 05-102
    • Stone, H.A.1
  • 33
    • 0035892669 scopus 로고    scopus 로고
    • GENSMAC3D: A numerical method for solving unsteady three-dimensional free surface flows
    • Tomé, M. F., Filho, A. C., Cuminato, J. A., Mangiavacchi, N., and McKee, S. (2001). GENSMAC3D: a numerical method for solving unsteady three-dimensional free surface flows. Int. J. Num. Meth. Fluids 37, 747-796.
    • (2001) Int. J. Num. Meth. Fluids , vol.37 , pp. 747-796
    • Tomé, M.F.1    Filho, A.C.2    Cuminato, J.A.3    Mangiavacchi, N.4    McKee, S.5
  • 34
    • 28144461905 scopus 로고
    • A boundary element method for two-dimensional viscous sintering
    • van der Vorst, G. A. L. and Mattheij, R. M. M., and Kuiken, H. K. (1992). A boundary element method for two-dimensional viscous sintering. J. Comput. Phys. 100, 50-63.
    • (1992) J. Comput. Phys. , vol.100 , pp. 50-63
    • Van Der Vorst, G.A.L.1    Mattheij, R.M.M.2    Kuiken, H.K.3
  • 37
    • 0035882409 scopus 로고    scopus 로고
    • An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering
    • Zhou, H., and Derby, J. J. (2001). An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering. Int. J. Num. Meth. Fluids 36, 841-865.
    • (2001) Int. J. Num. Meth. Fluids , vol.36 , pp. 841-865
    • Zhou, H.1    Derby, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.