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Volumn 221, Issue 2, 2007, Pages 805-836

Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability

Author keywords

Mixing properties; Numerical dissipation; Reshock; Richtmyer Meshkov instability; Weighted essentially non oscillatory (WENO) method

Indexed keywords

DEPOSITION; DISTRIBUTION FUNCTIONS; KINETIC ENERGY; KINETICS; MIXING; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION;

EID: 33846382050     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.06.051     Document Type: Article
Times cited : (133)

References (45)
  • 1
    • 0000897959 scopus 로고    scopus 로고
    • Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
    • Balsara D., and Shu C.-W. Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 160 (2000) 405-452
    • (2000) J. Comput. Phys. , vol.160 , pp. 405-452
    • Balsara, D.1    Shu, C.-W.2
  • 2
    • 85190280630 scopus 로고    scopus 로고
    • M. Latini, O. Schilling, W.S. Don, High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability. I. Comparison to experimental data and to amplitude growth model predictions, Phys. Fluids, submitted for publication.
  • 4
    • 85190261702 scopus 로고    scopus 로고
    • O. Schilling, M. Latini, W.S. Don, High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability. II. Physics of reshock and mixing, Phys. Fluids, submitted for publication.
  • 5
    • 0000635210 scopus 로고
    • Numerical simulations of the Rayleigh-Taylor instability
    • Tryggvason G. Numerical simulations of the Rayleigh-Taylor instability. J. Comput. Phys. 75 (1988) 253-282
    • (1988) J. Comput. Phys. , vol.75 , pp. 253-282
    • Tryggvason, G.1
  • 6
    • 0347963841 scopus 로고    scopus 로고
    • A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
    • He X., Chen S., and Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J. Comput. Phys. 152 (1999) 642-663
    • (1999) J. Comput. Phys. , vol.152 , pp. 642-663
    • He, X.1    Chen, S.2    Zhang, R.3
  • 8
    • 0029387053 scopus 로고
    • Numerical investigation of Richtmyer-Meshkov instability using front-tracking
    • Holmes R.L., Grove J.W., and Sharp D.H. Numerical investigation of Richtmyer-Meshkov instability using front-tracking. J. Fluid Mech. 301 (1995) 51-64
    • (1995) J. Fluid Mech. , vol.301 , pp. 51-64
    • Holmes, R.L.1    Grove, J.W.2    Sharp, D.H.3
  • 11
    • 0037431197 scopus 로고    scopus 로고
    • Resolution of high order WENO schemes for complicated flow structures
    • Shi J., Zhang Y.-T., and Shu C.-W. Resolution of high order WENO schemes for complicated flow structures. J. Comput. Phys. 186 (2003) 690-696
    • (2003) J. Comput. Phys. , vol.186 , pp. 690-696
    • Shi, J.1    Zhang, Y.-T.2    Shu, C.-W.3
  • 12
    • 85190250008 scopus 로고    scopus 로고
    • A.W. Cook, W.H. Cabot, J.A. Greenough, A High-Order Method for Shock-Induced Mixing, Tech. Rep. UCRL-JC-144109, Lawrence Livermore National Laboratory, 2001.
  • 13
    • 0346304850 scopus 로고    scopus 로고
    • Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers
    • Zhang Y.-T., Shi J., Shu C.-W., and Zhou Y. Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers. Phys. Rev. E 68 (2003) 046709-1-046709-16
    • (2003) Phys. Rev. E , vol.68
    • Zhang, Y.-T.1    Shi, J.2    Shu, C.-W.3    Zhou, Y.4
  • 14
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 16
    • 0036324975 scopus 로고    scopus 로고
    • Embedded turbulence model in numerical methods for hyperbolic conservation laws
    • Drikakis D. Embedded turbulence model in numerical methods for hyperbolic conservation laws. Int. J. Numer. Methods Fluids 39 (2002) 763-781
    • (2002) Int. J. Numer. Methods Fluids , vol.39 , pp. 763-781
    • Drikakis, D.1
  • 17
    • 0142087663 scopus 로고    scopus 로고
    • Advances in turbulent flow computations using high-resolution methods
    • Drikakis D. Advances in turbulent flow computations using high-resolution methods. Prog. Aero. Sci. 39 (2003) 405-424
    • (2003) Prog. Aero. Sci. , vol.39 , pp. 405-424
    • Drikakis, D.1
  • 18
    • 32844467967 scopus 로고    scopus 로고
    • On the computation of instabilities and symmetry-breaking in fluid mechanics
    • Drikakis D., Grinstein F., and Youngs D. On the computation of instabilities and symmetry-breaking in fluid mechanics. Prog. Aero. Sci. 41 (2005) 609-641
    • (2005) Prog. Aero. Sci. , vol.41 , pp. 609-641
    • Drikakis, D.1    Grinstein, F.2    Youngs, D.3
  • 19
    • 0000914453 scopus 로고
    • Comparison of accurate methods for integration of hyperbolic equations
    • Kreiss H.O., and Oliger J. Comparison of accurate methods for integration of hyperbolic equations. Tellus 24 (1972) 199-215
    • (1972) Tellus , vol.24 , pp. 199-215
    • Kreiss, H.O.1    Oliger, J.2
  • 20
    • 0034435883 scopus 로고    scopus 로고
    • High order schemes for resolving waves: number of points per wavelength
    • Jameson L. High order schemes for resolving waves: number of points per wavelength. J. Sci. Comput. 15 (2000) 417-439
    • (2000) J. Sci. Comput. , vol.15 , pp. 417-439
    • Jameson, L.1
  • 21
    • 0037429526 scopus 로고    scopus 로고
    • A flux-split algorithm applied to conservative models for multicomponent compressible flows
    • Marquina A., and Mulet P. A flux-split algorithm applied to conservative models for multicomponent compressible flows. J. Comput. Phys 185 (2003) 120-138
    • (2003) J. Comput. Phys , vol.185 , pp. 120-138
    • Marquina, A.1    Mulet, P.2
  • 22
    • 1442331992 scopus 로고    scopus 로고
    • Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks
    • Hill D.J., and Pullin D.I. Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks. J. Comput. Phys. 194 (2004) 435-450
    • (2004) J. Comput. Phys. , vol.194 , pp. 435-450
    • Hill, D.J.1    Pullin, D.I.2
  • 23
    • 18844441718 scopus 로고    scopus 로고
    • Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points
    • Henrick A.K., Aslam T.D., and Powers J.M. Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207 (2005) 542-567
    • (2005) J. Comput. Phys. , vol.207 , pp. 542-567
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 24
    • 0036571005 scopus 로고    scopus 로고
    • Conservative hybrid compact-WENO scheme for shock-turbulence interaction
    • Pirozzoli S. Conservative hybrid compact-WENO scheme for shock-turbulence interaction. J. Comput. Phys. 178 (2002) 81-117
    • (2002) J. Comput. Phys. , vol.178 , pp. 81-117
    • Pirozzoli, S.1
  • 25
    • 0344154580 scopus 로고    scopus 로고
    • A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
    • Ren Y.X., Liu M., and Zhang H.X. A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192 (2003) 365-386
    • (2003) J. Comput. Phys. , vol.192 , pp. 365-386
    • Ren, Y.X.1    Liu, M.2    Zhang, H.X.3
  • 26
    • 23844436406 scopus 로고    scopus 로고
    • A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis
    • Kim D., and Kwon J.H. A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis. J. Comput. Phys. 210 (2005) 554-583
    • (2005) J. Comput. Phys. , vol.210 , pp. 554-583
    • Kim, D.1    Kwon, J.H.2
  • 27
    • 85190286590 scopus 로고    scopus 로고
    • B. Costa, W.S. Don, Hybrid central-WENO finite difference methods for conservation laws, J. Comput. App. Math., in press.
  • 28
    • 33846342598 scopus 로고    scopus 로고
    • Two-dimensional multi-domain hybrid spectral-WENO methods for conservation laws
    • Costa B., Don W.S., Gottlieb D., and Sendersky R. Two-dimensional multi-domain hybrid spectral-WENO methods for conservation laws. Commun. Comput. Phys. 1 (2006) 548-574
    • (2006) Commun. Comput. Phys. , vol.1 , pp. 548-574
    • Costa, B.1    Don, W.S.2    Gottlieb, D.3    Sendersky, R.4
  • 29
    • 85190263547 scopus 로고    scopus 로고
    • M.R. Meloon, Models of Richtmyer-Meshkov instability in continuously stratified fluids, Ph.D. thesis, California Institute of Technology, 1998.
  • 30
    • 33746149301 scopus 로고    scopus 로고
    • Large-eddy simulation and multiscale modelling of a Richtmyer-Meshkov instability with reshock
    • Hill D.J., Pantano C., and Pullin D.I. Large-eddy simulation and multiscale modelling of a Richtmyer-Meshkov instability with reshock. J. Fluid Mech. 557 (2006) 29-61
    • (2006) J. Fluid Mech. , vol.557 , pp. 29-61
    • Hill, D.J.1    Pantano, C.2    Pullin, D.I.3
  • 31
    • 0037464966 scopus 로고    scopus 로고
    • Amplitude growth rate of a Richtmyer-Meshkov unstable two-dimensional interface to intermediate times
    • Zabusky N.J., Kotelnikov A.D., Gulak Y., and Peng G. Amplitude growth rate of a Richtmyer-Meshkov unstable two-dimensional interface to intermediate times. J. Fluid Mech. 475 (2003) 147-162
    • (2003) J. Fluid Mech. , vol.475 , pp. 147-162
    • Zabusky, N.J.1    Kotelnikov, A.D.2    Gulak, Y.3    Peng, G.4
  • 32
    • 0345770427 scopus 로고    scopus 로고
    • Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer-Meshkov interface
    • Peng G., Zabusky N.J., and Zhang S. Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer-Meshkov interface. Phys. Fluids 15 (2003) 3730-3744
    • (2003) Phys. Fluids , vol.15 , pp. 3730-3744
    • Peng, G.1    Zabusky, N.J.2    Zhang, S.3
  • 33
    • 36449005690 scopus 로고
    • The dynamics of shock accelerated light and heavy gas cylinders
    • Jacobs J.W. The dynamics of shock accelerated light and heavy gas cylinders. Phys. Fluids A 5 (1993) 2239-2247
    • (1993) Phys. Fluids A , vol.5 , pp. 2239-2247
    • Jacobs, J.W.1
  • 34
    • 85190287262 scopus 로고    scopus 로고
    • C.E. Niederhaus, Experiments on the Richtmyer-Meshkov Instability of Incompressible Fluids, Ph.D. thesis, University of Arizona, 2000.
  • 35
    • 15844418287 scopus 로고    scopus 로고
    • Experiments on the late-time development of single-mode Richtmyer-Meshkov instability
    • Jacobs J.W., and Krivets V.V. Experiments on the late-time development of single-mode Richtmyer-Meshkov instability. Phys. Fluids 17 (2005) 034104-1-034105-10
    • (2005) Phys. Fluids , vol.17
    • Jacobs, J.W.1    Krivets, V.V.2
  • 36
    • 0001496330 scopus 로고
    • Growth rate of the Richtmyer-Meshkov instability at shocked interfaces
    • Mikaelian K.O. Growth rate of the Richtmyer-Meshkov instability at shocked interfaces. Phys. Rev. Lett. 71 (1993) 2903-2906
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2903-2906
    • Mikaelian, K.O.1
  • 37
    • 0028727872 scopus 로고
    • Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities
    • Youngs D.L. Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Laser Part. Beams 12 (1994) 725-750
    • (1994) Laser Part. Beams , vol.12 , pp. 725-750
    • Youngs, D.L.1
  • 38
    • 0001405554 scopus 로고
    • Three-dimensional numerical simulations of turbulent mixing by Rayleigh-Taylor instability
    • Youngs D.L. Three-dimensional numerical simulations of turbulent mixing by Rayleigh-Taylor instability. Phys. Fluids A 3 (1991) 1312-1320
    • (1991) Phys. Fluids A , vol.3 , pp. 1312-1320
    • Youngs, D.L.1
  • 39
    • 0035949732 scopus 로고    scopus 로고
    • Transition stages of Rayleigh-Taylor instability between miscible fluids
    • corrigendum, J. Fluid Mech. 457 (2002) 410
    • Cook A.W., and Dimotakis P.E. Transition stages of Rayleigh-Taylor instability between miscible fluids. J. Fluid Mech. 443 (2001) 69-99 corrigendum, J. Fluid Mech. 457 (2002) 410
    • (2001) J. Fluid Mech. , vol.443 , pp. 69-99
    • Cook, A.W.1    Dimotakis, P.E.2
  • 40
    • 0022774901 scopus 로고
    • Mixing and chemical reactions in a turbulent liquid mixing layer
    • Koochesfahani M.M., and Dimotakis P.E. Mixing and chemical reactions in a turbulent liquid mixing layer. J. Fluid Mech. 170 (1986) 83-112
    • (1986) J. Fluid Mech. , vol.170 , pp. 83-112
    • Koochesfahani, M.M.1    Dimotakis, P.E.2
  • 41
    • 18844376921 scopus 로고    scopus 로고
    • Effective eddy viscosities in implicit modeling of decaying high Reynolds number turbulence with and without rotation
    • Domaradzki J.A., and Radhakrishnan S. Effective eddy viscosities in implicit modeling of decaying high Reynolds number turbulence with and without rotation. Fluid Dynam. Res. 36 (2005) 385-406
    • (2005) Fluid Dynam. Res. , vol.36 , pp. 385-406
    • Domaradzki, J.A.1    Radhakrishnan, S.2
  • 43
    • 20844451586 scopus 로고    scopus 로고
    • Transition to turbulence and effect of initial conditions on three-dimensional compressible mixing in planar blast-wave-driven systems
    • Miles A.R., Blue B., Edwards M.J., Greenough J.A., Hansen J.F., and Robey H.F. Transition to turbulence and effect of initial conditions on three-dimensional compressible mixing in planar blast-wave-driven systems. Phys. Plasmas 12 (2005) 056317-1-056317-10
    • (2005) Phys. Plasmas , vol.12
    • Miles, A.R.1    Blue, B.2    Edwards, M.J.3    Greenough, J.A.4    Hansen, J.F.5    Robey, H.F.6
  • 44
    • 36148937922 scopus 로고
    • Cambridge University Press, New York
    • Batchelor G.K. The Theory of Homogeneous Turbulence. Cambridge Science Classics (1982), Cambridge University Press, New York. Availabel at:
    • (1982) Cambridge Science Classics
    • Batchelor, G.K.1
  • 45
    • 0033912833 scopus 로고    scopus 로고
    • The mixing transition in turbulent flows
    • Dimotakis P.E. The mixing transition in turbulent flows. J. Fluid Mech. 409 (2000) 69-98
    • (2000) J. Fluid Mech. , vol.409 , pp. 69-98
    • Dimotakis, P.E.1


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