메뉴 건너뛰기




Volumn 229, Issue 1, 2010, Pages 73-106

Eulerian-Lagrangian multiscale methods for solving scalar equations - Application to incompressible two-phase flows

Author keywords

Eulerian Lagrangian method; Interface tracking; Transport equation; Volume Of Fluid (VOF)

Indexed keywords

DIFFUSION IN LIQUIDS; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; TWO PHASE FLOW;

EID: 70350620139     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.09.007     Document Type: Article
Times cited : (26)

References (56)
  • 1
  • 2
    • 34547533521 scopus 로고    scopus 로고
    • Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry
    • Aulisa E., Manservisi S., Scardovelli R., and Zaleski S. Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry. J. Comput. Phys. 225 (2007) 2301-2319
    • (2007) J. Comput. Phys. , vol.225 , pp. 2301-2319
    • Aulisa, E.1    Manservisi, S.2    Scardovelli, R.3    Zaleski, S.4
  • 3
    • 0003152150 scopus 로고
    • On the accuracy of vortex methods at large times
    • Engquist B., Luskin M., and Majda A. (Eds), Springer-Verlag, New York
    • Beale J.T. On the accuracy of vortex methods at large times. In: Engquist B., Luskin M., and Majda A. (Eds). Computational Fluid Dynamics and Reacting Gas Flows (1988), Springer-Verlag, New York
    • (1988) Computational Fluid Dynamics and Reacting Gas Flows
    • Beale, J.T.1
  • 4
    • 34248569424 scopus 로고    scopus 로고
    • A numerical model for multiphase flow based on the GMPPS formulation. Part I: Kinematics
    • Bierbrauer F., and Zhu S.P. A numerical model for multiphase flow based on the GMPPS formulation. Part I: Kinematics. Comput. Fluids 36 (2007) 1199-1212
    • (2007) Comput. Fluids , vol.36 , pp. 1199-1212
    • Bierbrauer, F.1    Zhu, S.P.2
  • 5
    • 0024782466 scopus 로고
    • A positive definite advection scheme obtained by nonlinear renormalization of the advective flux
    • Bott A. A positive definite advection scheme obtained by nonlinear renormalization of the advective flux. Mon. Wea. Rev. 117 (1989) 1006-1015
    • (1989) Mon. Wea. Rev. , vol.117 , pp. 1006-1015
    • Bott, A.1
  • 6
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 100 (1992) 335-354
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 7
    • 0037058102 scopus 로고    scopus 로고
    • Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
    • Chaniotis A.K., Poulikakos D., and Koumoutsakos P. Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows. J. Comput. Phys. 182 (2002) 67-90
    • (2002) J. Comput. Phys. , vol.182 , pp. 67-90
    • Chaniotis, A.K.1    Poulikakos, D.2    Koumoutsakos, P.3
  • 8
    • 0344550368 scopus 로고    scopus 로고
    • Advances in direct numerical simulations of 3D wall-bounded flows by vortex-in-cell methods
    • Cottet G.-H., and Poncet P. Advances in direct numerical simulations of 3D wall-bounded flows by vortex-in-cell methods. J. Comput. Phys. 193 (2003) 136-158
    • (2003) J. Comput. Phys. , vol.193 , pp. 136-158
    • Cottet, G.-H.1    Poncet, P.2
  • 9
    • 0030239577 scopus 로고    scopus 로고
    • Artificial viscosity models for vortex and particle methods
    • Cottet G.H. Artificial viscosity models for vortex and particle methods. J. Comput. Phys. 127 (1996) 299-308
    • (1996) J. Comput. Phys. , vol.127 , pp. 299-308
    • Cottet, G.H.1
  • 10
    • 0023797743 scopus 로고
    • Low Reynolds number instabilities in stagnating flows
    • Cruickshank J.O. Low Reynolds number instabilities in stagnating flows. J. Fluid Mech. 193 (1988) 111-127
    • (1988) J. Fluid Mech. , vol.193 , pp. 111-127
    • Cruickshank, J.O.1
  • 11
    • 0029657028 scopus 로고    scopus 로고
    • Numerical schemes to model condensation and evaporation of aerosols
    • Dhaniyala S., and Wexler A.S. Numerical schemes to model condensation and evaporation of aerosols. Atmos. Env. 30 (1996) 919-928
    • (1996) Atmos. Env. , vol.30 , pp. 919-928
    • Dhaniyala, S.1    Wexler, A.S.2
  • 12
    • 0346332033 scopus 로고    scopus 로고
    • High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
    • Daru V., and Tenaud C. High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations. J. Comput. Phys. 193 (2004) 563-594
    • (2004) J. Comput. Phys. , vol.193 , pp. 563-594
    • Daru, V.1    Tenaud, C.2
  • 13
    • 0037146444 scopus 로고    scopus 로고
    • A hybrid particle level set method for improved interface capturing
    • Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183 (2002) 83-116
    • (2002) J. Comput. Phys. , vol.183 , pp. 83-116
    • Enright, D.1    Fedkiw, R.2    Ferziger, J.3    Mitchell, I.4
  • 14
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: an overview and some recent results
    • Fedkiw R., and Osher S. Level set methods: an overview and some recent results. J. Comput. Phys. 169 (2001) 463-502
    • (2001) J. Comput. Phys. , vol.169 , pp. 463-502
    • Fedkiw, R.1    Osher, S.2
  • 16
    • 84881633400 scopus 로고    scopus 로고
    • Interface tracking based on an imposed velocity field in a convergent-divergent channel (PN)
    • Friess H., Lakehal D., and Vincent S. Interface tracking based on an imposed velocity field in a convergent-divergent channel (PN). Multiphase Sci. Tech. 16 (2004) 163-168
    • (2004) Multiphase Sci. Tech. , vol.16 , pp. 163-168
    • Friess, H.1    Lakehal, D.2    Vincent, S.3
  • 17
    • 19644380159 scopus 로고    scopus 로고
    • Hybrid grid generation for complex geometries using Gridgen
    • Whistler, British Columbia, Canada, June 25
    • J.R. Chawner, J.P. Steinbrenner, N. Wyman, Hybrid grid generation for complex geometries using Gridgen, in: Seventh International Grid Conference, Whistler, British Columbia, Canada, June 25, 2000.
    • (2000) Seventh International Grid Conference
    • Chawner, J.R.1    Steinbrenner, J.P.2    Wyman, N.3
  • 19
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • Hirt C.W., and Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39 (1981) 201-225
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 20
    • 11144341413 scopus 로고    scopus 로고
    • Achieving high-order fluctuation splitting schemes by extending the stencil
    • Hubbard M.E., and Laird A.L. Achieving high-order fluctuation splitting schemes by extending the stencil. Comput. Fluids 34 (2005) 443-459
    • (2005) Comput. Fluids , vol.34 , pp. 443-459
    • Hubbard, M.E.1    Laird, A.L.2
  • 21
    • 33750050297 scopus 로고    scopus 로고
    • Hybrid particle/grid method for predicting motion of micro- and macro-free surfaces
    • Ishii E., Ishikawa T., and Tanabe Y. Hybrid particle/grid method for predicting motion of micro- and macro-free surfaces. J. Fluid Eng. 128 (2006) 921-930
    • (2006) J. Fluid Eng. , vol.128 , pp. 921-930
    • Ishii, E.1    Ishikawa, T.2    Tanabe, Y.3
  • 22
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted essentially non-oscillatory schemes
    • Jiang G.S., and Shu C.W. Efficient implementation of weighted essentially non-oscillatory schemes. J. Comput. Phys. 126 (1996) 202-228
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, G.S.1    Shu, C.W.2
  • 23
    • 0034521747 scopus 로고    scopus 로고
    • Fictitious domain approach for numerical modelling of Navier-Stokes equations
    • Khadra K., Angot P., Parneix S., and Caltagirone J.P. Fictitious domain approach for numerical modelling of Navier-Stokes equations. Int. J. Numer. Meth. Fluids 34 (2000) 651-684
    • (2000) Int. J. Numer. Meth. Fluids , vol.34 , pp. 651-684
    • Khadra, K.1    Angot, P.2    Parneix, S.3    Caltagirone, J.P.4
  • 25
    • 0031541492 scopus 로고    scopus 로고
    • Inviscid axisymmetrization of an elliptical vortex
    • Koumoutsakos P. Inviscid axisymmetrization of an elliptical vortex. J. Comput. Phys. 138 (1997) 821-857
    • (1997) J. Comput. Phys. , vol.138 , pp. 821-857
    • Koumoutsakos, P.1
  • 27
    • 33745612491 scopus 로고    scopus 로고
    • Macroscopic analysis of gas-jet wiping: numerical simulation and experimental approach
    • Lacanette D., Gosset A., Vincent S., Buchlin J.-M., and Arquis E. Macroscopic analysis of gas-jet wiping: numerical simulation and experimental approach. Phys. Fluids 18 (2006) 1-15
    • (2006) Phys. Fluids , vol.18 , pp. 1-15
    • Lacanette, D.1    Gosset, A.2    Vincent, S.3    Buchlin, J.-M.4    Arquis, E.5
  • 28
    • 0003294239 scopus 로고
    • Numerical methods for conservation laws
    • Birhauser, Zurich
    • LeVeque R.J. Numerical methods for conservation laws. Lecture in Mathematics (1990), Birhauser, Zurich
    • (1990) Lecture in Mathematics
    • LeVeque, R.J.1
  • 29
    • 15944388262 scopus 로고    scopus 로고
    • A compressible Navier-Stokes flow solver with scalar transport
    • Li Q., Fu S., and Xu K. A compressible Navier-Stokes flow solver with scalar transport. J. Comput. Phys. 204 (2005) 692-714
    • (2005) J. Comput. Phys. , vol.204 , pp. 692-714
    • Li, Q.1    Fu, S.2    Xu, K.3
  • 30
    • 33845315499 scopus 로고    scopus 로고
    • Interface-turbulence interactions in large-scale bubbling processes
    • Liovic P., and Lakehal D. Interface-turbulence interactions in large-scale bubbling processes. Int. J. Heat Fluid Flow 28 (2007) 127-144
    • (2007) Int. J. Heat Fluid Flow , vol.28 , pp. 127-144
    • Liovic, P.1    Lakehal, D.2
  • 31
    • 33847026820 scopus 로고    scopus 로고
    • Multi-physics treatment in the vicinity of arbitrarily deformable gasliquid interfaces
    • Liovic P., and Lakehal D. Multi-physics treatment in the vicinity of arbitrarily deformable gasliquid interfaces. J. Comput. Phys. 222 (2007) 504-535
    • (2007) J. Comput. Phys. , vol.222 , pp. 504-535
    • Liovic, P.1    Lakehal, D.2
  • 32
    • 8744292001 scopus 로고    scopus 로고
    • A hybrid particle-mesh method for viscous, incompressible, multiphase flows
    • Liu J., Koshisuka S., and Oka Y. A hybrid particle-mesh method for viscous, incompressible, multiphase flows. J. Comput. Phys. 202 (2005) 65-93
    • (2005) J. Comput. Phys. , vol.202 , pp. 65-93
    • Liu, J.1    Koshisuka, S.2    Oka, Y.3
  • 33
    • 19044395843 scopus 로고    scopus 로고
    • An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
    • Lopez J., Hernandez J., Gomez P., and Faura F. An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows. J. Comput. Phys 208 (2005) 51-74
    • (2005) J. Comput. Phys , vol.208 , pp. 51-74
    • Lopez, J.1    Hernandez, J.2    Gomez, P.3    Faura, F.4
  • 34
    • 33745124028 scopus 로고    scopus 로고
    • Three-dimensional large eddy simulation of air entrainment under plunging breaking waves
    • Lubin P., Vincent S., Abadie S., and Caltagirone J.-P. Three-dimensional large eddy simulation of air entrainment under plunging breaking waves. Coastal Eng. 53 (2006) 631-655
    • (2006) Coastal Eng. , vol.53 , pp. 631-655
    • Lubin, P.1    Vincent, S.2    Abadie, S.3    Caltagirone, J.-P.4
  • 35
    • 0001326332 scopus 로고
    • An experimental study of the collapse of liquid columns on a rigid horizontal plane
    • Martin J.C., and Moyce W.J. An experimental study of the collapse of liquid columns on a rigid horizontal plane. Phil. Trans. Royal Soc. London 244 (1952) 312-324
    • (1952) Phil. Trans. Royal Soc. London , vol.244 , pp. 312-324
    • Martin, J.C.1    Moyce, W.J.2
  • 36
    • 0035147366 scopus 로고    scopus 로고
    • Two-level time marching scheme using splines for solving the advection equation
    • Nguyen K., and Dabdub D. Two-level time marching scheme using splines for solving the advection equation. Atmos. Env. 35 (2001) 1627-1637
    • (2001) Atmos. Env. , vol.35 , pp. 1627-1637
    • Nguyen, K.1    Dabdub, D.2
  • 37
    • 0038013752 scopus 로고    scopus 로고
    • Development and analysis of a non-splitting solution for three-dimensional air quality models
    • Nguyen K., and Dabdub D. Development and analysis of a non-splitting solution for three-dimensional air quality models. Atmos. Env. 37 (2003) 3741-3748
    • (2003) Atmos. Env. , vol.37 , pp. 3741-3748
    • Nguyen, K.1    Dabdub, D.2
  • 38
    • 0037146440 scopus 로고    scopus 로고
    • Toward an oscillation-free, mass conservative, Eulerian-Lagrangian transport model
    • Oliveira A., and Fortunato A.B. Toward an oscillation-free, mass conservative, Eulerian-Lagrangian transport model. J. Comput. Phys. 183 (2002) 142-164
    • (2002) J. Comput. Phys. , vol.183 , pp. 142-164
    • Oliveira, A.1    Fortunato, A.B.2
  • 39
    • 85190219718 scopus 로고    scopus 로고
    • I.R. Park, K.S. Kim, J. Kim, S.H. Van, A of-fluid method for incompressible free surface flows, Int. J. Numer. Meth. Fluids, doi: 10.1002/fld.2000, 2009.
    • I.R. Park, K.S. Kim, J. Kim, S.H. Van, A volume-of-fluid method for incompressible free surface flows, Int. J. Numer. Meth. Fluids, doi: 10.1002/fld.2000, 2009.
  • 41
    • 13644283274 scopus 로고    scopus 로고
    • Three-dimensional Eulerian-Lagrangian marker and micro cell method for the simulation of free surface flows
    • Raad P., and Bidoae R. Three-dimensional Eulerian-Lagrangian marker and micro cell method for the simulation of free surface flows. J. Comput. Phys. 203 (2005) 668-699
    • (2005) J. Comput. Phys. , vol.203 , pp. 668-699
    • Raad, P.1    Bidoae, R.2
  • 42
    • 0040844790 scopus 로고    scopus 로고
    • Reconstructing volume tracking
    • Rider W., and Kothe D. Reconstructing volume tracking. J. Comput. Phys. 141 (1998) 112-152
    • (1998) J. Comput. Phys. , vol.141 , pp. 112-152
    • Rider, W.1    Kothe, D.2
  • 43
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free surface and interfacial flows
    • Scardovelli R., and Zaleski S. Direct numerical simulation of free surface and interfacial flows. Ann. Rev. Fluid. Mech. 31 (1999) 567-603
    • (1999) Ann. Rev. Fluid. Mech. , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 44
    • 0035450778 scopus 로고    scopus 로고
    • PARDISO: a high-performance serial and parallel sparse linear solver in semiconductor device simulation
    • Schenk O., Gartner K., Fichtner W., and Stricker A. PARDISO: a high-performance serial and parallel sparse linear solver in semiconductor device simulation. J. Future Gener. Comput. Sys. 18 (2001) 69-78
    • (2001) J. Future Gener. Comput. Sys. , vol.18 , pp. 69-78
    • Schenk, O.1    Gartner, K.2    Fichtner, W.3    Stricker, A.4
  • 46
    • 13644274938 scopus 로고    scopus 로고
    • WENO schemes based on upwind and centred TVD fluxes
    • Titarev V.A., and Toro E.F. WENO schemes based on upwind and centred TVD fluxes. J. Comput. Phys. 34 (2005) 705-720
    • (2005) J. Comput. Phys. , vol.34 , pp. 705-720
    • Titarev, V.A.1    Toro, E.F.2
  • 48
    • 0000005482 scopus 로고
    • Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • Van Der Vorst H.A. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13 (1992) 631-644
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 49
    • 0033618517 scopus 로고    scopus 로고
    • Efficient solving method for unsteady incompressible interfacial flow problems
    • Vincent S., and Caltagirone J.-P. Efficient solving method for unsteady incompressible interfacial flow problems. Int. J. Numer. Meth. Fluids 30 (1999) 795-811
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 795-811
    • Vincent, S.1    Caltagirone, J.-P.2
  • 50
    • 0003370661 scopus 로고    scopus 로고
    • A one-cell local multigrid method for solving unsteady incompressible multiphase flows
    • Vincent S., and Caltagirone J.-P. A one-cell local multigrid method for solving unsteady incompressible multiphase flows. J. Comput. Phys. 163 (2000) 172-215
    • (2000) J. Comput. Phys. , vol.163 , pp. 172-215
    • Vincent, S.1    Caltagirone, J.-P.2
  • 51
    • 0035064499 scopus 로고    scopus 로고
    • Numerical modelling of bore propagation and run-up on sloping beaches using a Mac-Cormack TVD scheme
    • Vincent S., Bonneton P., and Caltagirone J.-P. Numerical modelling of bore propagation and run-up on sloping beaches using a Mac-Cormack TVD scheme. J. Hydraul. Res. 39 (2001) 41-49
    • (2001) J. Hydraul. Res. , vol.39 , pp. 41-49
    • Vincent, S.1    Bonneton, P.2    Caltagirone, J.-P.3
  • 52
    • 3042654881 scopus 로고    scopus 로고
    • An adaptative augmented Lagrangian method for three-dimensional multimaterial flows
    • Vincent S., Caltagirone J.-P., Lubin P., and Randrianarivelo T.N. An adaptative augmented Lagrangian method for three-dimensional multimaterial flows. Comput. Fluids 33 (2004) 1273-1299
    • (2004) Comput. Fluids , vol.33 , pp. 1273-1299
    • Vincent, S.1    Caltagirone, J.-P.2    Lubin, P.3    Randrianarivelo, T.N.4
  • 53
    • 33847396644 scopus 로고    scopus 로고
    • Local penalty methods for flows interacting with moving solids at high Reynolds numbers
    • Vincent S., Randrianarivelo T.N., Pianet G., and Caltagirone J.-P. Local penalty methods for flows interacting with moving solids at high Reynolds numbers. Comput. Fluids 36 (2007) 902-913
    • (2007) Comput. Fluids , vol.36 , pp. 902-913
    • Vincent, S.1    Randrianarivelo, T.N.2    Pianet, G.3    Caltagirone, J.-P.4
  • 55
    • 3242888321 scopus 로고    scopus 로고
    • A convexity preserving scheme for conservative advection transport
    • Xiao F., and Peng X. A convexity preserving scheme for conservative advection transport. J. Comput. Phys. 198 (2004) 389-402
    • (2004) J. Comput. Phys. , vol.198 , pp. 389-402
    • Xiao, F.1    Peng, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.