메뉴 건너뛰기




Volumn 227, Issue 8, 2008, Pages 3940-3970

Numerical prediction of interfacial instabilities: Sharp interface method (SIM)

Author keywords

Gas liquid interfaces; Instability seeding in numerical simulations; Interfacial flows; Interfacial instability; Rayleigh Taylor instability; Sharp interface treatment; Viscous Kelvin Helmholtz instability; Yih instability

Indexed keywords

LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; NUMERICAL MODELS; PHASE INTERFACES; RAYLEIGH SCATTERING; SHEAR FLOW; X RAY MICROSCOPES;

EID: 40249092838     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.12.008     Document Type: Article
Times cited : (60)

References (74)
  • 1
    • 0002755843 scopus 로고
    • Generalization of Roe scheme for the computation of mixture of perfect gases
    • R. Abgrall Generalization of Roe scheme for the computation of mixture of perfect gases Recherche Aerospatiale 6 1988 31
    • (1988) Recherche Aerospatiale , vol.6 , pp. 31
    • Abgrall, R.1
  • 3
    • 0001773880 scopus 로고    scopus 로고
    • Structured Adaptive Mesh Refinement (SAMR) Grid Methods
    • S.B. Baden N.P. Chrisochides D.B. Gannon Structured Adaptive Mesh Refinement (SAMR) Grid Methods 1999 Springer Berlin, Heidelberg, New York
    • (1999)
    • Baden, S.B.1    Chrisochides, N.P.2    Gannon, D.B.3
  • 4
    • 0038467428 scopus 로고    scopus 로고
    • Adaptive Finite Element Methods for Solving Differential Equations
    • W. Bangerth R. Rannacher Adaptive Finite Element Methods for Solving Differential Equations 2003 Birkhäuser
    • (2003)
    • Bangerth, W.1    Rannacher, R.2
  • 6
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • M.J. Berger J. Oliger Adaptive mesh refinement for hyperbolic partial differential equations Journal of Computational Physics 53 1984 482 512
    • (1984) Journal of Computational Physics , vol.53 , pp. 482-512
    • Berger, M.J.1    Oliger, J.2
  • 8
    • 0037054351 scopus 로고    scopus 로고
    • Implicit time integration schemes for the unsteady compressible Navier–Stokes equations: laminar flow
    • H. Bijl M.H. Carpenter V.N. Vatsa C.A. Kennedy Implicit time integration schemes for the unsteady compressible Navier–Stokes equations: laminar flow Journal of Computational Physics 179 2002 313 329
    • (2002) Journal of Computational Physics , vol.179 , pp. 313-329
    • Bijl, H.1    Carpenter, M.H.2    Vatsa, V.N.3    Kennedy, C.A.4
  • 9
    • 15844407115 scopus 로고    scopus 로고
    • Viscous versus inviscid instability of two-phase mixing layers with continuous velocity profile
    • T. Boeck S. Zaleski Viscous versus inviscid instability of two-phase mixing layers with continuous velocity profile Physics of Fluids 17 3 2005 032106
    • (2005) Physics of Fluids , vol.17 , Issue.3 , pp. 032106
    • Boeck, T.1    Zaleski, S.2
  • 12
    • 0004239265 scopus 로고
    • Hydrodynamic and Hydromagnetic Stability
    • S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability 1981 Dover Publications, Inc. New York
    • (1981)
    • Chandrasekhar, S.1
  • 14
    • 15744370910 scopus 로고    scopus 로고
    • High-Resolution Methods for Incompressible and Low-Speed Flows
    • D. Drikakis W. Rider High-Resolution Methods for Incompressible and Low-Speed Flows 2005 Springer Berlin, Heidelberg, New York
    • (2005)
    • Drikakis, D.1    Rider, W.2
  • 15
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost fluid method)
    • R.P. Fedkiw T. Aslam B. Merriman S. Osher A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost fluid method) Journal of Computational Physics 152 1999 457 492
    • (1999) Journal of Computational Physics , vol.152 , pp. 457-492
    • Fedkiw, R.P.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 17
    • 10244220985 scopus 로고    scopus 로고
    • A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
    • F. Gibou R. Fedkiw A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem Journal of Computational Physics 202 2005 577 601
    • (2005) Journal of Computational Physics , vol.202 , pp. 577-601
    • Gibou, F.1    Fedkiw, R.2
  • 20
    • 84967520841 scopus 로고    scopus 로고
    • Mesh Enhancement: Selected Elliptic Methods, Foundations and Applications
    • G. Hansen R. Douglass A. Zardecki Mesh Enhancement: Selected Elliptic Methods, Foundations and Applications 2005 Imperial College Press London
    • (2005)
    • Hansen, G.1    Douglass, R.2    Zardecki, A.3
  • 23
    • 49649156119 scopus 로고
    • A numerical fluid dynamics calculation method for all flow speeds
    • F.H. Harlow A.A. Amsden A numerical fluid dynamics calculation method for all flow speeds Journal of Computational Physics 8 1971 197 213
    • (1971) Journal of Computational Physics , vol.8 , pp. 197-213
    • Harlow, F.H.1    Amsden, A.A.2
  • 24
    • 0347963841 scopus 로고    scopus 로고
    • A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability
    • X. He S. Chen R. Zhang A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability Journal of Computational Physics 152 1999 642 663
    • (1999) Journal of Computational Physics , vol.152 , pp. 642-663
    • He, X.1    Chen, S.2    Zhang, R.3
  • 25
    • 85190398600 scopus 로고    scopus 로고
    • C.W. Hirt, An arbitrary Lagrangian–Eulerian computing technique, in: Proceedings of the International Conference of Numerical Methods for Fluid Dynamics, 2nd. Berkeley, California, September 15–19, 1970.
  • 26
    • 85190399376 scopus 로고    scopus 로고
    • R.D. Hornung, S.R. Kohn, Managing application complexity in the SAMRAI object-oriented framework, in: Concurrency and Computation: Practice and Experience (Special Issue), 14, 2002, pp. 347–368.
  • 27
    • 0034260316 scopus 로고    scopus 로고
    • A boundary condition capturing method for multiphase incompressible flow
    • M. Kang R.P. Fedkiw X.-D. Liu A boundary condition capturing method for multiphase incompressible flow Journal of Scientific Computing 15 2 2000 323 360
    • (2000) Journal of Scientific Computing , vol.15 , Issue.2 , pp. 323-360
    • Kang, M.1    Fedkiw, R.P.2    Liu, X.-D.3
  • 28
    • 17644411935 scopus 로고    scopus 로고
    • Solving nonlinear equations with Newton’s method
    • C.T. Kelley Solving nonlinear equations with Newton’s method Fundamentals of Algorithms 2003 SIAM
    • (2003)
    • Kelley, C.T.1
  • 29
    • 0034127941 scopus 로고    scopus 로고
    • An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of Newtonian and well characterized viscoelastic fluids: part I: linear stability and encapsulation effects
    • B. Khomami K.C. Su An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of Newtonian and well characterized viscoelastic fluids: part I: linear stability and encapsulation effects Journal of Non-Newtonian Fluid Mechanics 91 2000 59 84
    • (2000) Journal of Non-Newtonian Fluid Mechanics , vol.91 , pp. 59-84
    • Khomami, B.1    Su, K.C.2
  • 30
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton–Krylov methods: a survey of approaches and applications
    • D.A. Knoll D. Keyes Jacobian-free Newton–Krylov methods: a survey of approaches and applications Journal of Computational Physics 193 2003 357 397
    • (2003) Journal of Computational Physics , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.2
  • 31
    • 1142263349 scopus 로고    scopus 로고
    • Verification of Computer Codes in Computational Science and Engineering
    • P.M. Knupp K. Salari S.G. Krantz Verification of Computer Codes in Computational Science and Engineering 2003 CRC Press
    • (2003)
    • Knupp, P.M.1    Salari, K.2    Krantz, S.G.3
  • 32
    • 85190399164 scopus 로고    scopus 로고
    • Ya.I. Kucherenko, L.I. Shibarshev, V.I. Chitaikin, S.A. Balabin, A.P. Palaev, Experimental investigation into the self-similar mode of the gravitational turbulent mixing, in: Proceedings of the 3rd International Workshop on the Physics of Compressible Turbulent Mixing, 1991.
  • 34
    • 0028485385 scopus 로고
    • An immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R.J. LeVeque Z. Li An immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM Journal of Numerical Analysis 31 4 1994 1019 1044
    • (1994) SIAM Journal of Numerical Analysis , vol.31 , Issue.4 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.2
  • 35
    • 2942543066 scopus 로고    scopus 로고
    • An immersed interface method for incompressible Navier–Stokes equations
    • L. Lee R.J. LeVeque An immersed interface method for incompressible Navier–Stokes equations SIAM Journal on Scientific Computing 25 3 2003 832 856
    • (2003) SIAM Journal on Scientific Computing , vol.25 , Issue.3 , pp. 832-856
    • Lee, L.1    LeVeque, R.J.2
  • 36
    • 0000928539 scopus 로고    scopus 로고
    • A numerical study of periodic disturbances on two-layer Couette flow
    • J. Li Y.Y. Renardy M. Renardy A numerical study of periodic disturbances on two-layer Couette flow Physics of Fluids 10 1998 12
    • (1998) Physics of Fluids , vol.10 , pp. 12
    • Li, J.1    Renardy, Y.Y.2    Renardy, M.3
  • 38
    • 3242720707 scopus 로고    scopus 로고
    • A pseudo-compressibility method for the numerical simulation of incompressible multifluid flows
    • R.R. Nourgaliev T.N. Dinh T.G. Theofanous A pseudo-compressibility method for the numerical simulation of incompressible multifluid flows International Journal of Multiphase Flow 30 7–8 2004 901 937
    • (2004) International Journal of Multiphase Flow , vol.30 , Issue.7–8 , pp. 901-937
    • Nourgaliev, R.R.1    Dinh, T.N.2    Theofanous, T.G.3
  • 39
    • 85190399916 scopus 로고    scopus 로고
    • R.R. Nourgaliev, T.N. Dinh, T.G. Theofanous, Sharp treatment of surface tension and viscous stresses in multifluid dynamics, AIAA 2005-5349, in: 17th AIAA Computational Fluid Dynamics Conference, Toronto, Canada, June 6–9, 2005.
  • 40
    • 32644451061 scopus 로고    scopus 로고
    • Adaptive characteristics-based matching for compressible multifluid dynamics
    • R.R. Nourgaliev T.N. Dinh T.G. Theofanous Adaptive characteristics-based matching for compressible multifluid dynamics Journal of Computational Physics 213 2 2006 220 252
    • (2006) Journal of Computational Physics , vol.213 , Issue.2 , pp. 220-252
    • Nourgaliev, R.R.1    Dinh, T.N.2    Theofanous, T.G.3
  • 41
    • 34248546217 scopus 로고    scopus 로고
    • High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set
    • R.R. Nourgaliev T.G. Theofanous High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set Journal of Computational Physics 224 2 2007 836 866
    • (2007) Journal of Computational Physics , vol.224 , Issue.2 , pp. 836-866
    • Nourgaliev, R.R.1    Theofanous, T.G.2
  • 42
    • 85190399301 scopus 로고    scopus 로고
    • R.R. Nourgaliev, M.-S. Liou, T.G. Theofanous, Numerical prediction of interfacial instability, in: Proceedings of the 4th International Conference on Computational Fluid Dynamics, ICCFD’4, Ghent, Belgium, July 10–14, 2006.
  • 43
    • 85190397294 scopus 로고    scopus 로고
    • R.R. Nourgaliev, D. Knoll, V. Mousseau, R. Berry, Direct numerical simulation of boiling multiphase flows: state-of-the-art, modeling, algorithmic and computer needs, in: Joint International Topical Meeting on Mathematics & Computation and Supercomputing in Nuclear Applications (M&C + SNA 2007), Monterey, California, April 15–19, 2007, on CD-ROM, American Nuclear Society, LaGrange Park, IL, 2007.
  • 44
    • 0003754684 scopus 로고    scopus 로고
    • Level set methods and dynamic implicit surfaces
    • S. Osher R. Fedkiw Level set methods and dynamic implicit surfaces Applied Mathematical Sciences vol. 153 2003 Springer-Verlag New York, Berlin, Heidelberg
    • (2003)
    • Osher, S.1    Fedkiw, R.2
  • 45
    • 85190398337 scopus 로고    scopus 로고
    • C. Peskin, Flow patterns around heart valves: a digital computer method for solving the equations of motion, Ph.D. Thesis, Physiol., Albert Einstein Coll. Med., Univ. Microfilms 378 (1972) 72–30.
  • 46
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C. Peskin Numerical analysis of blood flow in the heart Journal of Computational Physics 25 1977 220 252
    • (1977) Journal of Computational Physics , vol.25 , pp. 220-252
    • Peskin, C.1
  • 47
    • 0020779216 scopus 로고
    • Experimental investigation of turbulent mixing by Rayleigh–Taylor instability
    • K.I. Read Experimental investigation of turbulent mixing by Rayleigh–Taylor instability Physica D 12 1984 45
    • (1984) Physica D , vol.12 , pp. 45
    • Read, K.I.1
  • 48
    • 0037059250 scopus 로고    scopus 로고
    • PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
    • Y. Renardy M. Renardy PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method Journal of Computational Physics 183 2003 400 421
    • (2003) Journal of Computational Physics , vol.183 , pp. 400-421
    • Renardy, Y.1    Renardy, M.2
  • 50
    • 1842829625 scopus 로고    scopus 로고
    • Iterative Methods for Sparse Linear Systems
    • Y. Saad Iterative Methods for Sparse Linear Systems second ed. 2003 SIAM
    • (2003)
    • Saad, Y.1
  • 51
    • 85190397531 scopus 로고    scopus 로고
    • SAMRAI: Structured Adaptive Mesh Refinement Application Infrastructure, .
  • 52
    • 1642316962 scopus 로고    scopus 로고
    • Higher-Order Finite Element Methods
    • P. Solin K. Segeth I. Dolezel Higher-Order Finite Element Methods Studies in Advanced Mathematics 2004 Chapman & Hall/CRC
    • (2004)
    • Solin, P.1    Segeth, K.2    Dolezel, I.3
  • 53
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulations of free-surface and interfacial flow
    • R. Scardovelli S. Zaleski Direct numerical simulations of free-surface and interfacial flow Annual Review of Fluid Mechanics 31 1999 567 603
    • (1999) Annual Review of Fluid Mechanics , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 54
    • 0003661003 scopus 로고    scopus 로고
    • Level Set Methods and Fast Marching Methods
    • J.A. Sethian Level Set Methods and Fast Marching Methods 1999 Cambridge University Press
    • (1999)
    • Sethian, J.A.1
  • 55
    • 0037055761 scopus 로고    scopus 로고
    • Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity
    • S. Shin D. Juric Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity Journal of Computational Physics 180 2002 427 470
    • (2002) Journal of Computational Physics , vol.180 , pp. 427-470
    • Shin, S.1    Juric, D.2
  • 56
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • C.-W. Shu S. Osher Efficient implementation of essentially non-oscillatory shock-capturing schemes Journal of Computational Physics 77 1989 439 471
    • (1989) Journal of Computational Physics , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 57
    • 2342666610 scopus 로고    scopus 로고
    • Multiphase computations using sharp and continuous interface techniques for micro-gravity applications
    • W. Shyy Multiphase computations using sharp and continuous interface techniques for micro-gravity applications Comptes Rendus Mechanique 332 2004 375 386
    • (2004) Comptes Rendus Mechanique , vol.332 , pp. 375-386
    • Shyy, W.1
  • 58
    • 0028134042 scopus 로고
    • Rayleigh–Taylor and shear driven mixing with an unstable thermal stratification
    • D.M. Snider M.J. Andrews Rayleigh–Taylor and shear driven mixing with an unstable thermal stratification Physics of Fluids 6 10 1994 3324
    • (1994) Physics of Fluids , vol.6 , Issue.10 , pp. 3324
    • Snider, D.M.1    Andrews, M.J.2
  • 59
    • 85190399546 scopus 로고    scopus 로고
    • S.Yu. Sushchikh, R.R. Nourgaliev, T.G. Theofanous, Linear instability of diffuse interfaces under shear, International Journal of Multiphase Flow, 2007, under review.
  • 60
    • 28144444111 scopus 로고
    • A level set method for computing solutions to incompressible two-phase flow
    • M. Sussman P. Smereka S. Osher A level set method for computing solutions to incompressible two-phase flow Journal of Computational Physics 119 1994 146
    • (1994) Journal of Computational Physics , vol.119 , pp. 146
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 62
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of fluid method for computing 3D and axisymmetric incompressible two-phase flows
    • M. Sussman E.G. Puckett A coupled level set and volume-of fluid method for computing 3D and axisymmetric incompressible two-phase flows Journal of Computational Physics 162 2000 301 337
    • (2000) Journal of Computational Physics , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 64
    • 85190397026 scopus 로고    scopus 로고
    • T.G. Theofanous, G.J. Li, On the physics of aero-breakup, Physics of Fluids, in press.
  • 66
    • 34249941973 scopus 로고    scopus 로고
    • Short Communication: Direct numerical simulations of two-layer viscosity-stratified flow by Qing Cao, Kausik Sarkar, Ajay K. Prasad
    • T.G. Theofanous R.R. Nourgaliev S. Wiri Short Communication: Direct numerical simulations of two-layer viscosity-stratified flow by Qing Cao, Kausik Sarkar, Ajay K. Prasad International Journal of Multiphase Flow 33 7 2007 789 796
    • (2007) International Journal of Multiphase Flow , vol.33 , Issue.7 , pp. 789-796
    • Theofanous, T.G.1    Nourgaliev, R.R.2    Wiri, S.3
  • 67
    • 34247092838 scopus 로고    scopus 로고
    • Short Communication: An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of newtonian and well characterized viscoelastic fluids: part I: linear stability and encapsulation effects, by Bamin Khomami and Kuan C. Su
    • T.G. Theofanous R.R. Nourgaliev B. Khomami Short Communication: An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of newtonian and well characterized viscoelastic fluids: part I: linear stability and encapsulation effects, by Bamin Khomami and Kuan C. Su Journal of Non-Newtonian Fluid Mechanics 143 2007 131 132
    • (2007) Journal of Non-Newtonian Fluid Mechanics , vol.143 , pp. 131-132
    • Theofanous, T.G.1    Nourgaliev, R.R.2    Khomami, B.3
  • 68
    • 85190396635 scopus 로고    scopus 로고
    • T.G. Theofanous, S. Sushchikh, R.R. Nourgaliev, Linear stability of sharp and diffuse interfaces under shear, in: FEDSM07 5th Joint ASME/JSME Fluids Engineering Summer Conference, San Diego, California, USA, July 30–August 2, 2007.
  • 69
    • 85190397627 scopus 로고    scopus 로고
    • A. Wissink, D. Hysom, R. Hornung, Enhancing scalability of parallel structured amr calculations, in: Proceedings of the 17th ACM International Conference on Supercomputing (ICS03), San Francisco, CA, June 23–26, 2003, pp. 336–347.
  • 70
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • S.O. Unverdi G. Tryggvason A front-tracking method for viscous, incompressible, multi-fluid flows Journal of Computational Physics 100 1992 25
    • (1992) Journal of Computational Physics , vol.100 , pp. 25
    • Unverdi, S.O.1    Tryggvason, G.2
  • 71
    • 0035842847 scopus 로고    scopus 로고
    • A fixed-grid sharp-interface method for bubble dynamics and phase change
    • T. Ye W. Shyy J.N. Chung A fixed-grid sharp-interface method for bubble dynamics and phase change Journal of Computational Physics 174 2001 781 815
    • (2001) Journal of Computational Physics , vol.174 , pp. 781-815
    • Ye, T.1    Shyy, W.2    Chung, J.N.3
  • 72
    • 84974380140 scopus 로고
    • Instability due to viscosity stratification
    • C.-S. Yih Instability due to viscosity stratification Journal of Fluid Mechanics 27 1967 337 352
    • (1967) Journal of Fluid Mechanics , vol.27 , pp. 337-352
    • Yih, C.-S.1
  • 73
    • 0020779030 scopus 로고
    • Numerical simulation of turbulent mixing by Rayleigh–Taylor instability
    • D.L. Youngs Numerical simulation of turbulent mixing by Rayleigh–Taylor instability Physica D 12 1984 32 44
    • (1984) Physica D , vol.12 , pp. 32-44
    • Youngs, D.L.1
  • 74
    • 0001405554 scopus 로고
    • Three-dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability
    • D.L. Youngs Three-dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability Physics of Fluids A 3 1991 1312
    • (1991) Physics of Fluids A , vol.3 , pp. 1312
    • Youngs, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.