메뉴 건너뛰기




Volumn 35, Issue 1, 2008, Pages 43-61

An improved sharp interface method for viscoelastic and viscous two-phase flows

Author keywords

Bubbles; Drops; Level set method; Two phase flow; Volume of fluid method

Indexed keywords

AIR-WATER INTERFACE; LEVEL-SET METHOD; SHARP INTERFACE; VOLUME-OF-FLUID METHOD;

EID: 44749092287     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-007-9173-5     Document Type: Article
Times cited : (45)

References (34)
  • 2
    • 34249655560 scopus 로고    scopus 로고
    • A computational study of bubble motion in Newtonian and viscoelastic fluids
    • 2
    • Jimenez, E., Sussman, M., Ohta, M.: A computational study of bubble motion in Newtonian and viscoelastic fluids. Fluid Dyn. Mater. Process. 1(2), 97-108 (2005)
    • (2005) Fluid Dyn. Mater. Process. , vol.1 , pp. 97-108
    • Jimenez, E.1    Sussman, M.2    Ohta, M.3
  • 3
    • 34249718381 scopus 로고    scopus 로고
    • Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method
    • 1
    • Sussman, M., Ohta, M.: Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method. Fluid Dyn. Mater. Process. 3(1), 21-36 (2007)
    • (2007) Fluid Dyn. Mater. Process. , vol.3 , pp. 21-36
    • Sussman, M.1    Ohta, M.2
  • 4
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • Kang, M., Fedkiw, R., Liu, X.-D.: A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15 (2000)
    • (2000) J. Sci. Comput. , vol.15
    • Kang, M.1    Fedkiw, R.2    Liu, X.-D.3
  • 5
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost fluid method)
    • 2
    • Fedkiw, R.P., Aslam, T., Merriman, B., Osher, S.: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost fluid method). J. Comput. Phys. 152(2), 457-492 (1999)
    • (1999) J. Comput. Phys. , vol.152 , pp. 457-492
    • Fedkiw, R.P.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 6
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • 1
    • Liu, X.-D., Fedkiw, R.P., Kang, M.: A boundary condition capturing method for Poisson's equation on irregular domains. J. Comput. Phys. 160(1), 151-178 (2000)
    • (2000) J. Comput. Phys. , vol.160 , pp. 151-178
    • Liu, X.-D.1    Fedkiw, R.P.2    Kang, M.3
  • 7
    • 0034077402 scopus 로고    scopus 로고
    • Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method
    • 2
    • Li, J., Renardy, Y.Y., Renardy, M.: Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Phys. Fluids 12(2), 269-282 (2000)
    • (2000) Phys. Fluids , vol.12 , pp. 269-282
    • Li, J.1    Renardy, Y.Y.2    Renardy, M.3
  • 8
    • 34247403757 scopus 로고    scopus 로고
    • On boundary condition capturing for multiphase interfaces
    • Hong, J.-M., Shinar, T., Kang, M., Fedkiw, R.: On boundary condition capturing for multiphase interfaces. J. Sci. Comput. 31, 99-125 (2007)
    • (2007) J. Sci. Comput. , vol.31 , pp. 99-125
    • Hong, J.-M.1    Shinar, T.2    Kang, M.3    Fedkiw, R.4
  • 11
    • 0035842846 scopus 로고    scopus 로고
    • A level-set method for computing solutions to viscoelastic two-phase flow
    • 2
    • Pillapakkam, S.B., Singh, P.: A level-set method for computing solutions to viscoelastic two-phase flow. J. Comput. Phys. 174(2), 552-578 (2001)
    • (2001) J. Comput. Phys. , vol.174 , pp. 552-578
    • Pillapakkam, S.B.1    Singh, P.2
  • 13
    • 34547244901 scopus 로고    scopus 로고
    • Multiple interacting fluids
    • SIGGRAPH 2006
    • Losasso, F., Shinar, T., Selle, A., Fedkiw, R.: Multiple interacting fluids. In: SIGGRAPH 2006. ACM TOG 25, pp. 812-819 (2006)
    • (2006) ACM TOG , vol.25 , pp. 812-819
    • Losasso, F.1    Shinar, T.2    Selle, A.3    Fedkiw, R.4
  • 15
    • 0024068483 scopus 로고
    • Creeping flow of dilute polymer solutions past cylinders and spheres
    • Chilcott, M.D., Rallison, J.M.: Creeping flow of dilute polymer solutions past cylinders and spheres. J. Non-Newton. Fluid Mech. 29, 381-432 (1988)
    • (1988) J. Non-Newton. Fluid Mech. , vol.29 , pp. 381-432
    • Chilcott, M.D.1    Rallison, J.M.2
  • 16
    • 0042626827 scopus 로고
    • Finite-element simulation of the start-up problem for a viscoelastic fluid in an eccentric rotating cylinder geometry using a third-order upwind scheme
    • 2
    • Singh, P., Leal, L.G.: Finite-element simulation of the start-up problem for a viscoelastic fluid in an eccentric rotating cylinder geometry using a third-order upwind scheme. Theor. Comput. Fluid Dyn. V5(2), 107-137 (1993)
    • (1993) Theor. Comput. Fluid Dyn. , vol.5 , pp. 107-137
    • Singh, P.1    Leal, L.G.2
  • 17
    • 33751232640 scopus 로고    scopus 로고
    • Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations
    • 1-3
    • Khismatullin, D., Renardy, Y., Renardy, M.: Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations. J. Non-Newton. Fluid Mech. 140(1-3), 120-131 (2006)
    • (2006) J. Non-Newton. Fluid Mech. , vol.140 , pp. 120-131
    • Khismatullin, D.1    Renardy, Y.2    Renardy, M.3
  • 18
    • 16844369618 scopus 로고    scopus 로고
    • A stable and convergent scheme for viscoelastic flow in contraction channels
    • 1
    • Trebotich, D., Colella, P., Miller, G.H.: A stable and convergent scheme for viscoelastic flow in contraction channels. J. Comput. Phys. 205(1), 315-342 (2005)
    • (2005) J. Comput. Phys. , vol.205 , pp. 315-342
    • Trebotich, D.1    Colella, P.2    Miller, G.H.3
  • 19
    • 0030584607 scopus 로고    scopus 로고
    • Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces
    • Chang, Y., Hou, T., Merriman, B., Osher, S.: Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces. J. Comput. Phys. 124, 449-464 (1996)
    • (1996) J. Comput. Phys. , vol.124 , pp. 449-464
    • Chang, Y.1    Hou, T.2    Merriman, B.3    Osher, S.4
  • 20
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
    • 2
    • Sussman, M., Puckett, E.G.: A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162(2), 301-337 (2000)
    • (2000) J. Comput. Phys. , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 21
    • 0001329875 scopus 로고
    • The multigrid preconditioned conjugate gradient method
    • Copper Mountain, Colorado
    • Tatebe, O.: The multigrid preconditioned conjugate gradient method. In: 6th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, 1993
    • (1993) 6th Copper Mountain Conference on Multigrid Methods
    • Tatebe, O.1
  • 23
    • 0001122872 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • van Leer, B.: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J. Comput. Phys. 100, 25-37 (1979)
    • (1979) J. Comput. Phys. , vol.100 , pp. 25-37
    • Van Leer, B.1
  • 24
    • 0037407382 scopus 로고    scopus 로고
    • A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles
    • 1
    • Sussman, M.: A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. J. Comput. Phys. 187(1), 110-136 (2003)
    • (2003) J. Comput. Phys. , vol.187 , pp. 110-136
    • Sussman, M.1
  • 25
    • 13544275653 scopus 로고    scopus 로고
    • A parallelized, adaptive algorithm for multiphase flows in general geometries
    • Sussman, M.: A parallelized, adaptive algorithm for multiphase flows in general geometries. Comput. Struct. 83, 435-444 (2005)
    • (2005) Comput. Struct. , vol.83 , pp. 435-444
    • Sussman, M.1
  • 26
    • 0001330031 scopus 로고
    • Movement permanent lent d'une sphere liquide et visqueuse dans un liquide visqueux
    • Hadamard, J.: Movement permanent lent d'une sphere liquide et visqueuse dans un liquide visqueux. C. R. Acad. Sci. Paris 152, 1735-1738 (1911)
    • (1911) C. R. Acad. Sci. Paris , vol.152 , pp. 1735-1738
    • Hadamard, J.1
  • 27
    • 0002111918 scopus 로고
    • Uber die fortschreitende Bewegung einer flussigen Kugel in einem zahen Medium
    • Rybczynski, W.: Uber die fortschreitende Bewegung einer flussigen Kugel in einem zahen Medium. Bull. Int. Acad. Sci. Cracovia Cl. Sci. Math. Natur, 40-46 (1911)
    • (1911) Bull. Int. Acad. Sci. Cracovia Cl. Sci. Math. Natur , pp. 40-46
    • Rybczynski, W.1
  • 28
    • 0019548721 scopus 로고    scopus 로고
    • Bubbles in viscous liquids: Shapes, wakes and velocities
    • 1
    • Bhaga, D., Weber, M.E.: Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid Mech. Digit. Arch. 105(1), 61-85 (2006)
    • (2006) J. Fluid Mech. Digit. Arch. , vol.105 , pp. 61-85
    • Bhaga, D.1    Weber, M.E.2
  • 29
    • 0021850468 scopus 로고
    • Minimum drop volume in liquid jet breakup
    • Bright, A.: Minimum drop volume in liquid jet breakup. Chem. Eng. Res. Des. 63, 59-66 (1985)
    • (1985) Chem. Eng. Res. Des. , vol.63 , pp. 59-66
    • Bright, A.1
  • 31
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • 1
    • Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39(1), 201-225 (1981)
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 32
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • 2
    • Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100(2), 335-354 (1992)
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 33
    • 0000386659 scopus 로고
    • The wettability of low-energy liquid surfaces
    • 6
    • Johnson, J.R.E., Dettre, R.H.: The wettability of low-energy liquid surfaces. J. Colloid Interface Sci. 21(6), 610-622 (1966)
    • (1966) J. Colloid Interface Sci. , vol.21 , pp. 610-622
    • Johnson, J.R.E.1    Dettre, R.H.2
  • 34
    • 0027396440 scopus 로고
    • Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids
    • Noh, D.S., Kang, I.S., Leal, L.G.: Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids. Phys. Fluids A 5, 1315 (1993)
    • (1993) Phys. Fluids A , vol.5 , pp. 1315
    • Noh, D.S.1    Kang, I.S.2    Leal, L.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.