On the computation of instabilities and symmetry-breaking in fluid mechanics

[1]  F. Durst,et al.  Further contributions on the two-dimensional flow in a sudden expansion , 1997, Journal of Fluid Mechanics.

[2]  Michael Zingale,et al.  A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration , 2004 .

[3]  N. Zabusky,et al.  Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock–spherical fast/slow bubble interactions , 1998, Journal of Fluid Mechanics.

[4]  D. Sharp.  An overview of Rayleigh-Taylor instability☆ , 1984 .

[5]  V. V. Nikiforov,et al.  Turbulent mixing at contact surface accelerated by shock waves , 1976 .

[6]  Javier Jiménez,et al.  Kinematic alignment effects in turbulent flows , 1992 .

[7]  F. Marconi.  Investigation of the interaction of a blast wave with an internal structure , 1993 .

[8]  Chih-Ming Ho,et al.  Preferred modes and the spreading rates of jets , 1983 .

[9]  Serge Gauthier,et al.  Two-dimensional Navier-Stokes simulations of gaseous mixtures induced by Richtmyer-Meshkov instability , 2000 .

[10]  T. Mullin,et al.  Nonlinear flow phenomena in a symmetric sudden expansion , 1990, Journal of Fluid Mechanics.

[11]  A. Hussain,et al.  Controlled excitation of elliptic jets , 1983 .

[12]  P. Sagaut.  Large Eddy Simulation for Incompressible Flows , 2001 .

[13]  Robert McDougall Kerr,et al.  Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence , 1983, Journal of Fluid Mechanics.

[14]  A. Cook,et al.  Energy transfer in Rayleigh-Taylor instability. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  D. Drikakis.  Bifurcation phenomena in incompressible sudden expansion flows , 1997 .

[16]  L YoungsD,et al.  Time-dependent multi-material flow with large fluid distortion. , 1982 .

[17]  Chih-Ming Ho,et al.  Dynamics of an impinging jet. Part 1. The feedback phenomenon , 1981, Journal of Fluid Mechanics.

[18]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[19]  Bernardus J. Geurts,et al.  Turbulent flow computation , 2004 .

[20]  Fernando F. Grinstein,et al.  Vortex dynamics and entrainment in rectangular free jets , 2001, Journal of Fluid Mechanics.

[21]  G. Rudinger,et al.  Behaviour of small regions of different gases carried in accelerated gas flows , 1960, Journal of Fluid Mechanics.

[22]  I. Bohachevsky,et al.  Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .

[23]  Robert F. Benjamin,et al.  Simulation of shock-generated instabilities , 1996 .

[24]  G. Dimonte,et al.  A numerical study of the influence of initial perturbations on the turbulent Rayleigh–Taylor instability , 2005, Journal of Fluid Mechanics.

[25]  F. Grinstein,et al.  Monotonically integrated large eddy simulation of free shear flows , 1999 .

[26]  A. Michalke.  On spatially growing disturbances in an inviscid shear layer , 1965, Journal of Fluid Mechanics.

[27]  Paul R. Woodward,et al.  Kolmogorov‐like spectra in decaying three‐dimensional supersonic flows , 1994 .

[28]  S. Ghosal.  Analysis and Control of Errors in the Numerical Simulation of Turbulence , 2002 .

[29]  F. Poggi,et al.  Velocity measurements in turbulent gaseous mixtures induced by Richtmyer–Meshkov instability , 1998 .

[30]  Jay P. Boris,et al.  On large eddy simulation using subgrid turbulence models Comment 1 , 1990 .

[31]  Steven W. Haan,et al.  A comparison of three-dimensional multimode hydrodynamic instability growth on various National Ignition Facility capsule designs with HYDRA simulations , 1998 .

[32]  Fernando F. Grinstein.  Self-induced vortex ring dynamics in subsonic rectangular jets , 1995 .

[33]  James J. Quirk,et al.  On the dynamics of a shock–bubble interaction , 1994, Journal of Fluid Mechanics.

[34]  Bernd Einfeld.  On Godunov-type methods for gas dynamics , 1988 .

[35]  Roger E. A. Arndt,et al.  Advances in Turbulence , 1988, Lecture Notes in Mechanical Engineering.

[36]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[37]  Jerzy Zóltak,et al.  Hybrid upwind methods for the simulation of unsteady shock-wave diffraction over a cylinder , 1998 .

[38]  F. Grinstein,et al.  Recent Progress on MILES for High Reynolds Number Flows , 2002 .

[39]  Bram van Leer,et al.  Implicit flux-split schemes for the Euler equations , 1985 .

[40]  S. Dalziel,et al.  Self-similarity and internal structure of turbulence induced by Rayleigh–Taylor instability , 1999, Journal of Fluid Mechanics.

[41]  Albrecht Eberle,et al.  Characteristic flux averaging approach to the solution of Euler's equations , 1987 .

[42]  D. Youngs,et al.  Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities , 1994 .

[43]  G. S. Patterson,et al.  Intermittency effects in a numerical simulation of stationary three-dimensional turbulence , 1978, Journal of Fluid Mechanics.

[44]  Mark L. Wilkins,et al.  Use of artificial viscosity in multidimensional fluid dynamic calculations , 1980 .

[45]  Malcolm J. Andrews,et al.  Experimental investigation of Rayleigh–Taylor mixing at small Atwood numbers , 2004, Journal of Fluid Mechanics.

[46]  B. Geurts,et al.  Discretization error dominance over subgrid terms in large eddy simulation of compressible shear layers in 2D , 1994 .

[47]  Ephraim Gutmark,et al.  Flow control with noncircular jets , 1999 .

[48]  A. Kerstein,et al.  Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence , 1987 .

[49]  J. Boris,et al.  Numerical simulations of asymmetric mixing in planar shear flows , 1986, Journal of Fluid Mechanics.

[50]  P. Woodward,et al.  Three-dimensional simulation of a Richtmyer-Meshkov instability with a two-scale initial perturbation , 2002 .

[51]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[52]  M. Wehner,et al.  Numerical simulation of Richtmyer–Meshkov instabilities , 1992 .

[53]  D. Drikakis.  Advances in turbulent flow computations using high-resolution methods , 2003 .

[54]  Uri Alon,et al.  Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws , 2001 .

[55]  Javier Jiménez,et al.  The structure of intense vorticity in isotropic turbulence , 1993, Journal of Fluid Mechanics.

[56]  F. Battaglia,et al.  Bifurcation of Low Reynolds Number Flows in Symmetric Channels , 1996 .

[57]  S. Corrsin,et al.  Experiment on the geometry of the fine-structure regions in fully turbulent fluid , 1972, Journal of Fluid Mechanics.

[58]  Nishihara,et al.  Three-dimensional Rayleigh-Taylor instability of spherical systems. , 1990, Physical review letters.

[59]  P. Dimotakis,et al.  The mixing layer at high Reynolds number: large-structure dynamics and entrainment , 1976, Journal of Fluid Mechanics.

[60]  Xiaolin Li,et al.  A comparative numerical study of the Richtmyer-Meshkov instability with nonlinear analysis in two and three dimensions , 1997 .

[61]  Dimitris E. Papantonis,et al.  A characteristic-based method for incompressible flows , 1994 .

[62]  Mark V. Morkovin,et al.  Recent insights into instability and transition to turbulence in open-flow systems , 1988 .

[63]  J. P. Boris,et al.  Direct numerical simulation of axisymmetric jets , 1986 .

[64]  Philip E. Morgan,et al.  Large-Eddy Simulation Modeling Issues for Flow Around Wing Sections , 2003 .

[65]  Paul E. Dimotakis,et al.  Transition stages of Rayleigh–Taylor instability between miscible fluids , 2000, Journal of Fluid Mechanics.

[66]  F. Hussain,et al.  Elliptic jets. Part 1. Characteristics of unexcited and excited jets , 1989, Journal of Fluid Mechanics.

[67]  J. Haas,et al.  Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities , 1987, Journal of Fluid Mechanics.

[68]  Elaine S. Oran,et al.  Numerical Simulation of Reactive Flow , 1987 .

[69]  E. Toro.  Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[70]  John A. Ekaterinaris,et al.  High-order accurate, low numerical diffusion methods for aerodynamics , 2005 .

[71]  P. Moin,et al.  The basic equations for the large eddy simulation of turbulent flows in complex geometry , 1995 .

[72]  G. D. van Albada,et al.  A comparative study of computational methods in cosmic gas dynamics , 1982 .

[73]  P. Lax,et al.  On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .

[74]  P. Woodward,et al.  The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .

[75]  Christer Fureby,et al.  From canonical to complex flows: Recent progress on monotonically integrated LES , 2004, Computing in Science & Engineering.

[76]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[77]  F. Grinstein,et al.  Effective viscosity in the simulation of spatially evolving shear flows with monotonic FCT models , 1992 .

[78]  P. Monkewitz,et al.  LOCAL AND GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS , 1990 .

[79]  Jay P. Boris,et al.  Convective Cooling of Lightning Channels , 1981 .

[80]  D. Drikakis,et al.  Large eddy simulation of compressible turbulence using high‐resolution methods , 2005 .

[81]  L. Margolin,et al.  Large-eddy simulations of convective boundary layers using nonoscillatory differencing , 1999 .

[82]  B. Leer,et al.  Flux-vector splitting for the Euler equations , 1997 .

[83]  N. Inogamov.  The Role of Rayleigh-Taylor and Richtmyer-Meshkiv Instabilities in Astrophysics: An Introduction , 1999 .

[84]  S. Zalesak.  Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .

[85]  A. V. Smith,et al.  Shock-tube experiments on Richtmyer-Meshkov instability growth using an enlarged double-bump perturbation , 2003 .

[86]  C. Fureby,et al.  Mathematical and Physical Constraints on Large-Eddy Simulations , 1997 .

[87]  P. Sweby.  High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .

[88]  Dimitris Drikakis,et al.  Mach number effects on shock-bubble interaction , 2001 .

[89]  L. Margolin,et al.  A rationale for implicit turbulence modelling , 2001 .

[90]  R. F. Warming,et al.  The modified equation approach to the stability and accuracy analysis of finite-difference methods , 1974 .

[91]  Bradford Sturtevant,et al.  Experiments on the Richtmyer-Meshkov instability of an air/SF6 interface , 1995 .

[92]  Prediction of flow instabilities and transition using high-resolution methods , 2004 .

[93]  Gardner,et al.  Ablative Rayleigh-Taylor instability in three dimensions. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[94]  D. Youngs,et al.  Numerical simulation of turbulent mixing by Rayleigh-Taylor instability , 1984 .

[95]  B. E. McDonald,et al.  Flux-corrected pseudospectral method for scalar hyperbolic conservation laws , 1989 .

[96]  F. Durst,et al.  Asymmetric flows and instabilities in symmetric ducts with sudden expansions , 1978, Journal of Fluid Mechanics.

[97]  J. Jacobs,et al.  Shock-induced mixing of a light-gas cylinder , 1992, Journal of Fluid Mechanics.

[98]  P. Monkewitz,et al.  On turbulent jet flows - A new perspective , 1980 .

[99]  Edward E. Zukoski,et al.  A model for characterization of a vortex pair formed by shock passage over a light-gas inhomogeneity , 1994, Journal of Fluid Mechanics.

[100]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[101]  H. Okamoto,et al.  Stability of flow in a channel with a suddenly expanded part , 1996 .

[102]  Valdis Kibens,et al.  Discrete noise spectrum generated by an acoustically excited jet , 1979 .

[103]  J. Boris,et al.  Flux-corrected transport. III. Minimal-error FCT algorithms , 1976 .

[104]  Leif Persson,et al.  On large eddy simulation of high Reynolds number wall bounded flows , 2004 .

[105]  Richard A. Gentry,et al.  An Eulerian differencing method for unsteady compressible flow problems , 1966 .

[106]  Marilyn Schneider,et al.  Richtmyer–Meshkov instability growth: experiment, simulation and theory , 1999, Journal of Fluid Mechanics.

[107]  H. V. D. Ven.  A family of large eddy simulation (LES) filters with nonuniform filter widths , 1995 .

[108]  J. Steger,et al.  Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods , 1981 .

[109]  Marilyn Schneider,et al.  Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories , 2000 .

[110]  B. J. Daly.  Numerical Study of Two Fluid Rayleigh‐Taylor Instability , 1967 .

[111]  Philip L. Roe,et al.  Efficient construction and utilisation of approximate riemann solutions , 1985 .

[112]  Fernando F. Grinstein,et al.  Dynamics of coherent structures and transition to turbulence in free square jets , 1996 .

[113]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

[114]  D. Youngs,et al.  Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability , 1991 .

[115]  R. LeVeque.  Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[116]  J. P. Boris,et al.  Vorticity generation by shock propagation through bubbles in a gas , 1988, Journal of Fluid Mechanics.

[117]  E. Toro,et al.  Restoration of the contact surface in the HLL-Riemann solver , 1994 .

[118]  Dynamics and Topology of Coherent Structures in a Plane Wake , 1991 .

[119]  S. Osher,et al.  Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .

[120]  Town,et al.  Three-dimensional simulations of the implosion of inertial confinement fusion targets. , 1991, Physical review letters.

[121]  M. Andrews,et al.  Spectral measurements of Rayleigh–Taylor mixing at small Atwood number , 2002 .

[122]  Ephraim Gutmark,et al.  Streamwise and spanwise vortex interaction in an axisymmetric jet. A computational and experimental study , 1996 .

[123]  D. Drikakis,et al.  Numerical experiments using high-resolution schemes for unsteady, inviscid, compressible flows , 2004 .

[124]  J. Mizushima,et al.  Transitions and instabilities of flow in a symmetric channel with a suddenly expanded and contracted part , 2001, Journal of Fluid Mechanics.

[125]  P. Moin,et al.  A General Class of Commutative Filters for LES in Complex Geometries , 1998 .

[126]  D. Benson.  Computational methods in Lagrangian and Eulerian hydrocodes , 1992 .

[127]  Education of coherent structures in a numerically simulated plane wake , 1994 .

[128]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[129]  Fernando F. Grinstein,et al.  Global instabilities in countercurrent jets , 1998 .

[130]  Elaine S. Oran,et al.  Pressure field, feedback, and global instabilities of subsonic spatially developing mixing layers , 1991 .

[131]  Valdis Kibens,et al.  Discrete Noise Spectrum Generated by Acoustically Excited Jet , 1980 .

[132]  Qiang Zhang,et al.  A numerical study of bubble interactions in Rayleigh–Taylor instability for compressible fluids , 1990 .

[133]  Sarben Sarkar,et al.  Nonlinear phenomena and chaos , 1986 .

[134]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[135]  Jay P. Boris,et al.  Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works , 1973 .

[136]  F. Grinstein.  Vortex Dynamics,Entrainment, and Nonpremixed Combustion in Rectangular Jets , 2001 .

[137]  Peter Vorobieff,et al.  Experimental observations of the mixing transition in a shock-accelerated gas curtain , 1999 .

[138]  A. Hussain,et al.  Coherent structures and turbulence , 1986, Journal of Fluid Mechanics.

[139]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .

[140]  F. Grinstein,et al.  Large Eddy simulation of high-Reynolds-number free and wall-bounded flows , 2002 .

[141]  K. Mikaelian.  Richtmyer–Meshkov instability of arbitrary shapes , 2005 .

[142]  Chih-Ming Ho,et al.  Perturbed Free Shear Layers , 1984 .

[143]  Gretar Tryggvason,et al.  Computations of three‐dimensional Rayleigh–Taylor instability , 1990 .

[144]  Dimitris Drikakis,et al.  Embedded turbulence model in numerical methods for hyperbolic conservation laws , 2002 .

[145]  J. Glimm,et al.  A critical analysis of Rayleigh-Taylor growth rates , 2001 .

[146]  Elaine S. Oran,et al.  Vortex-ring dynamics in a transitional subsonic free jet. A numerical study , 1990 .

[147]  K. I. Read,et al.  Experimental investigation of turbulent mixing by Rayleigh-Taylor instability , 1984 .

[148]  S. Saddoughi.  Local isotropy in high Reynolds number turbulent shear flows , 1993 .

[149]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .