Norman Zabusky
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Physics
Norman Zabusky's Degrees
- PhD Physics Columbia University
- Bachelors Physics City College of New York
Why Is Norman Zabusky Influential?
(Suggest an Edit or Addition)According to Wikipedia, Norman J. Zabusky was an American physicist, who is noted for the discovery of the soliton in the Korteweg–de Vries equation, in work completed with Martin Kruskal. This result early in his career was followed by an extensive body of work in computational fluid dynamics, which led him in the latter years of his career to an examination of the importance of visualization in this field. In fact, he coined the term visiometrics to describe the process of using computer-aided visualization to guide one towards quantitative results.
Norman Zabusky's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States (1965) (3254)
- Symmetric vortex merger in two dimensions: causes and conditions (1988) (326)
- Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation (1987) (299)
- Contour Dynamics for the Euler Equations in Two Dimensions (1997) (263)
- Visualizing features and tracking their evolution (1994) (228)
- Vortex Waves: Stationary "VStates," Interactions, Recurrence, and Breaking (1978) (220)
- VORTEX PARADIGM FOR ACCELERATED INHOMOGENEOUS FLOWS: Visiometrics for the Rayleigh-Taylor and Richtmyer-Meshkov Environments (1999) (197)
- A Synergetic Approach to Problems of Nonlinear Dispersive Wave Propagation and Interaction (1967) (196)
- Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws (1994) (190)
- Visiometrics, Juxtaposition and Modeling (1993) (185)
- Evolution and Merger of Isolated Vortex Structures. (1982) (181)
- Korteweg‐deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws (1970) (178)
- Shallow-water waves, the Korteweg-deVries equation and solitons (1971) (162)
- Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. I. Numerical Algorithms and Results, (1984) (137)
- Instability, coalescence and fission of finite-area vortex structures (1973) (134)
- A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation (1986) (134)
- Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications (1992) (114)
- Exact Solution for the Vibrations of a Nonlinear Continuous Model String (1962) (106)
- Computational synergetics and mathematical innovation (1981) (105)
- Stroboscopic‐Perturbation Procedure for Treating a Class of Nonlinear Wave Equations (1964) (96)
- Deformation and striation of plasma clouds in the ionosphere: 1 (1973) (90)
- Deformation and striation of plasma clouds in the ionosphere: 2. Numerical simulation of a nonlinear two‐dimensional model (1973) (89)
- A modulated point-vortex model for geostrophic, β-plane dynamics (1982) (87)
- Gradient-Induced Fission of Solitons (1971) (87)
- Nonlinear Waves and Coherent Vortex Structures in Barotropic β-plane Jets (1987) (84)
- Interactions of isolated vortices I: Modons colliding with modons (1982) (83)
- Solitons and Bound States of the Time-Independent Schrödinger Equation (1968) (82)
- Quantifying Visualizations for Reduced Modeling in Nonlinear Science: Extracting Structures from Data Sets (1993) (76)
- Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: history, synergetics, and visiometrics. (2005) (74)
- Fermi, Pasta, Ulam and the Birth of Experimental Mathematics (2009) (74)
- Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-states and merger (1989) (74)
- Dynamical evolution of two-dimensional unstable shear flows (1971) (70)
- Topics in Nonlinear Physics (1968) (70)
- Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer–Meshkov interface (2003) (67)
- Solitons and energy transport in nonlinear lattices (1973) (66)
- Stationary “V-States,” Interactions, Recurrence, and Breaking (1978) (66)
- Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock–spherical fast/slow bubble interactions (1998) (64)
- A Numerical Laboratory (1987) (63)
- Acoustics and dynamics of coaxial interacting vortex rings (1988) (58)
- Three-dimensional vortex tube reconnection: morphology for orthogonally-offset tubes (1989) (54)
- Dynamics of nonlinear lattices I. Localized optical excitations, acoustic radiation, and strong nonlinear behavior (1967) (54)
- Scale sizes and lifetimes of f region plasma cloud striations as determined by the condition of marginal stability. Memorandum report (1980) (48)
- Grappling with Complexity (1987) (46)
- Regularization of contour dynamical algorithms. I. tangential regularization (1983) (46)
- Baroclinic circulation generation on shock accelerated slow/fast gas interfaces (1998) (42)
- Interaction and "apparent" reconnection of 3D vortex tubes via direct numerical simulations (1988) (41)
- Ergodic Boundary in Numerical Simulations of Two-Dimensional Turbulence (1971) (40)
- Deformation and striation of plasma clouds in the ionosphere, 3. Numerical simulations of a multilevel model with recombination chemistry (1976) (38)
- High gradient phenomena in two‐dimensional vortex interactions (1995) (38)
- Dynamics of vesicles in shear and rotational flows: Modal dynamics and phase diagram (2010) (37)
- On the nature of vortex interactions and models in unforced nearly‐inviscid two‐dimensional turbulence (1996) (37)
- Shock interactions with heavy gaseous elliptic cylinders: Two leeward-side shock competition modes and a heuristic model for interfacial circulation deposition at early times (2000) (37)
- Vortex intensification and collapse of the Lissajous-elliptic ring: single- and multi-filament Biot-Savart simulations and visiometrics (1995) (33)
- On shock polar analysis and analytical expressions for vorticity deposition in shock‐accelerated density‐stratified interfaces (1993) (33)
- Ellipsoidal quantification of evolving phenomena (1991) (32)
- Filamentation of Unstable Vortex Structures via Separatrix Crossing: A Quantitative Estimate of Onset Time (1989) (31)
- David and “visiometrics”: visualizing and quantifying evolving amorphous objects (1990) (31)
- Ionospheric plasma cloud dynamics via regularized contour dynamics. I. Stability and nonlinear evolution of one‐contour models (1983) (29)
- Coaxial scattering of Euler-equation translating V-states via contour dynamics (1982) (29)
- RECENT DEVELOPMENTS IN CONTOUR DYNAMICS FOR THE EULER EQUATIONS * † (1981) (28)
- Shock gaseous cylinder interactions: Dynamically validated initial conditions provide excellent agreement between experiments and numerical simulations to late–intermediate time (2004) (26)
- Vortex morphologies on reaccelerated interfaces: Visualization, quantification and modeling of one- and two-mode compressible and incompressible environments (2000) (25)
- Blast-wave-sphere interaction using a laser-produced plasma: an experiment motivated by supernova 1987A. (2001) (24)
- Vorticity generation and evolution in shock‐accelerated density‐stratified interfaces (1992) (24)
- Elliptically Desingularized Vortex Model for the Two-Dimensional Euler Equations, (1984) (23)
- Contour dynamics—An interface method for studying the evolution of large density gradient ionospheric plasma clouds (1984) (22)
- Contour dynamics for the Euler equations: curvature controlled initial node placement and accuracy (1988) (20)
- Applications of contour dynamics to two layer quasigeostrophic flows (1988) (20)
- Shock-planar curtain interactions in two dimensions: Emergence of vortex double layers, vortex projectiles, and decaying stratified turbulence (2002) (17)
- ''Breakthrough'' via dipolar-vortex/jet formation in shock-accelerated density-stratified layers (1990) (16)
- Amplitude growth rate of a Richtmyer–Meshkov unstable two-dimensional interface to intermediate times (2003) (15)
- Nonlinear sound–vortex interactions in an inviscid isentropic fluid: A two‐fluid model (1995) (14)
- Shock interaction with a heavy gas cylinder: Emergence of vortex bilayers and vortex-accelerated baroclinic circulation generation (2003) (14)
- Filament Surgery and Temporal Grid Adaptivity Extensions to a Parallel Tree Code for Simulation and (1995) (14)
- Exact Invariants for a Class of Nonlinear Wave Equations (1966) (13)
- Intrinsic electric fields and proton diffusion in immobilized protein membranes. Effects of electrolytes and buffers. (1979) (13)
- Phase Transition, Stability, and Oscillations for an Autocatalytic, Single, First-Order Reaction in a Membrane (1973) (12)
- Visualizing causal effects in 4D space-time vector fields (1991) (12)
- Tunable oscillator using pulsons on large-area lossy Josephson junctions (1981) (11)
- Visualizing mathematics: evolution of vortical flows (1986) (11)
- Computational vortex dynamics in two and three dimensions (1987) (11)
- Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures (2005) (10)
- Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows (2003) (10)
- Stability and nonlinear evolution of plasma clouds via regularized contour dynamics (1980) (10)
- Measures of chaos and equipartition in integrable and nonintegrable lattices. (2006) (10)
- Near‐singular collapse and local intensification of a ‘‘Lissajous‐elliptic’’ vortex ring: Nonmonotonic behavior and zero‐approaching local energy densities (1994) (10)
- Vortex dynamics and baroclinically forced inhomogeneous turbulence for shock—planar heavy curtain interactions (2005) (10)
- Coherent Structures in Fluid Dynamics (1977) (9)
- Circulation rate of change: A vortex approach for understanding accelerated inhomogeneous flows through intermediate times (2006) (9)
- Case study: visualizing classical problems in CFD (1992) (9)
- Association—dissociation time-scale factor for proton transport in immobilized protein membranes (1978) (8)
- Shock–planar curtain interactions: Strong secondary baroclinic deposition and emergence of vortex projectiles and late-time inhomogeneous turbulence (2003) (8)
- A new, but flawed, numerical method for vortex patch evolution in two dimensions (1991) (8)
- Vortex structures and turbulence emerging in a supernova 1987a configuration: Interactions of complex blast waves and cylindrical/spherical bubbles (2003) (8)
- Diagnostic Algorithms for Contour Dynamics (1984) (7)
- Axisymmetrization of an isolated vortex region by splitting and partial merging of satellite depletion perturbations (1996) (7)
- Jet and vortex flows in a shock/hemispherical-bubble-on-wall configuration (2003) (6)
- A new approach to the effect of sound on vortex dynamics (1987) (6)
- An interactive imaging environment for scientific visualization and quantification (visiometrics) (1996) (6)
- Collapse, intensification and reconnection in vortex dominated flows: visiometrics and modeling (1995) (6)
- Book review: Turbulent Flows (2000) (5)
- Tree codes for vortex dynamics: Application of a programming framework (1995) (5)
- Visiometrics of complex physical processes: diagnosing vortex-dominated flows (1996) (5)
- Computational synergetics and the exploration of nonlinear science (1985) (5)
- Asymmetric Vortex Merger (1987) (5)
- Recent results on cleavage, bifurcation and cascade mechanisms in ionospheric plasma clouds. Memorandum report (1977) (5)
- Shock-bubble interactions: Generation and evolution of vorticity in two-dimensional supersonic flows (1988) (5)
- VISUALIZATION, FEATURE EXTRACTION, AND QUANTIFICATION OF NUMERICAL VISUALIZATIONS OF HIGH-GRADIENT COMPRESSIBLE FLOWS (2000) (4)
- Turbulent Decay and Mixing of Accelerated Inhomogeneous Flows Via a Feature Based Analysis (2004) (4)
- Dual-mode potential oscillations on an immobilized acetylcholinesterase membrane system (1983) (4)
- Special Issue: High‐Performance Computing and Physics (1993) (4)
- Vortex Dynamics of a Twice-accelerated Interface in an Incompressible Ideal Fluid (2000) (4)
- Scientific Computing Visualization — a new venue in the arts (2000) (4)
- Computational synergetics: visualization and vortex dynamics (1988) (3)
- Scientific visualization and computer vision (1994) (3)
- Nonlinear and breaking micron waves at the edge of a laser-liquified indium pool (2005) (3)
- Fluids in Motion: Inspiration and Realization for Artists and STEMists (2015) (3)
- Vortical Projectiles from Shock-Bubble Interactions. (1997) (3)
- On Vortex Reconnection and Turbulence (1992) (3)
- Deformation and striation of barium clouds in the ionosphere (1972) (3)
- Solutions for a Nonlinear Singular Magnetic Flux Diffusion Equation (1962) (3)
- The effect of artificially close boundaries on numerical simulations of the instability and evolution of barium clouds (1975) (3)
- Computational Synergetics and Innovation in Wave and Vortex Dynamics (1984) (2)
- Coherent structure visiometrics: From the soliton to HEC (1995) (2)
- Contour Dynamics: A Boundary Integral Evolutionary Method for Inviscid Incompressible Flows (1981) (2)
- Three-dimensional visualization and quantification of evolving amorphous objects (1991) (2)
- Richtmyer-meshkov initiated, vortex accelerated inhomogeneous turbulence: high performance computing and visiometrics (2004) (2)
- Asymptotical Expansions for One-Phase Soliton-Type Solution to Perturbed Korteweg – de Vries Equation (2004) (2)
- NARUTO: Past and Present (1997) (1)
- Making Waves: Stories from My Life (2001) (1)
- Estimating Spectral Indices from Transforms of Discrete Representations of Density Functions. (1984) (1)
- Contour dynamics - A boundary-integral evolutionary method for ionospheric plasma clouds (1983) (1)
- Vorticity. (Book Reviews: Vortex Dynamics.) (1993) (1)
- Visiometrics for reduced modeling of accelerated inhomogeneous flows (2000) (1)
- A fluid model for estimating minimum scale sizes in ionospheric plasma cloud striations. Memorandum report (1978) (1)
- Topics in nonlinear physics : proceedings of the Physics Session, International School of Nonlinear Mathematics and Physics. A NATO Advanced Study Institute, Max-Planck-Institute for Physics and Astrophysics, Munich, 1966 (1968) (1)
- Contour-dynamics - A boundary-integral evolutionary method for incompressible dissipationless flows in two dimensions (1983) (1)
- Vortex bi-layers and the emergence of vortex projectiles in compressible accelerated inhomogeneous flows (AIFs) (2002) (1)
- The nonlinear Vlasov equation, its moment description, and their corresponding linear forms (1963) (1)
- Interpretation of the “stabilization distance” as evidence of weak shock formation in low-loss longitudinal nonlinear wave propagation experiments (1965) (1)
- X-ray radiograms of complex blast wave/sphere interactions obtained from laser-produced plasmas juxtaposed with visualizations of two-dimensional axisymmetric hydrodynamic simulations (2002) (1)
- Guide to phase diagrams for vesicles in shear and rotational flow: critique and future directions (2010) (1)
- Visiometrics and modeling in computational fluid dynamics (1996) (1)
- Topology Alteration and Temporal Adaptivity Extensions to a Biot-savart Fast Vortex Method. in Second International Workshop on Vortex Flows, Emergence of Coherent Patterns of Vortex Stretching during Reconnection: a Scattering Paradigm. Visiometrics of Complex Physical Processes: Diagnosing Vortex (2007) (0)
- Reduced Model Formation for 2D Vortex Interactions Using Machine Learning: Extended Abstract (1995) (0)
- Introduction to “Numerical Simulation of Hydrodynamics by the Method of Point Vortices” (1997) (0)
- Vortex Dynamics of Coherent and Chaotic Structures (Including Algorithms for Computer Simulations and Diagnosis). (1987) (0)
- Secondary vorticity deposition and long-time dynamics of a Richtmyer-Meshkov interface (2002) (0)
- \textsc{Numerical simulations of cell interactions under shear flows in complex geometries} (2005) (0)
- Equipment for High Performance Computing, Quantification and Visualization. (1998) (0)
- Computational synergetics and innovation in wave, vortex, and plasma cloud dynamics (1983) (0)
- Numerical modeling of re-accelerated interfaces in the compressible and incompressible environments (1999) (0)
- Fluids in motion: Contemporary artScience- inspiration and realization (2013) (0)
- Coherent Structure Visiometrics: From the Soliton to HEC * (1995) (0)
- A numerical method for determining a system impulse response from the transient response to arbitrary inputs (1956) (0)
- Tion Tools for Feature Extraction and Quantication in 3d Dataset:user Manual. Figure 14: Simulation 2: Tracking Overall Rms Variation of Object Vs Time (1996) (0)
- Hydromagnetic Stability of a Streaming Cylindrical Incompressible Plasma (1960) (0)
- Interactions in a classical relativistic plasma (1969) (0)
- Visualization and quantification of evolving datasets. Final report: 8-1-93 - 4-30-97 (1999) (0)
- Computational synergetics and innovation in fluid dynamics (1984) (0)
- The evolution of a plane, viscous vortex field (1989) (0)
- Are Cosmic Knots Escaped Vortex Projectiles (1997) (0)
- A Gallery of Fluid Motion: Vortices (2004) (0)
- Finite time singularities in Kida flow: enstrophy time series analysis revised (2003) (0)
- Analytical and numerical studies of the growth rate of the Richtmyer-Meshkov (RM) instability on a sinusoidally perturbed interface (1999) (0)
- Martin D. Kruskal: Asymptotics and Nonlinear Science (2007) (0)
- Rapid Transition to Turbulence of a Density Interface Subjected to an Impulsive Re-acceleration (1998) (0)
- Escaped Vortex Projectiles from Shock Wave Interactions with Elliptical and Ellipsoidal Clouds. (1997) (0)
- Accelerating Inhomogeneous Flows: Modelling & Astrophysical Applications (2000) (0)
- Analytical and Numerical Models for a Harmonic Perturbation of the Richtmyer-Meshkov Instability in the Linear and Nonlinear Epochs. (1996) (0)
- Hydromagnetic stability of a streaming cylindrical plasma (1959) (0)
- Vortex-accelerated secondary baroclinic vorticity deposition (VAVD) and domain specific circulation rate of change * Γ : A new process and diagnostic for validating and understanding Richtmyer-Meshkov (accelerated inhomogeneous flow) simulations beyond early times (2004) (0)
- Computation and Innovation in the Nonlinear Sciences (1981) (0)
- Unstable Flows in Two Dimensions: Comparison of Laboratory Experiments with Numerical Simulation (1971) (0)
- Interface location in direct numerical simulations (dns) of the compressible Euler equations. (1999) (0)
- Baroclinic Turbulence in Accelerated Inhomogeneous Flows (2005) (0)
- Coherent and chaotic structures in 2D vortex dynamics: progress and problems (1988) (0)
- Projections of plasma cloud structures and their spectra (1986) (0)
- Feature tracking: visualizing amorphous regions and their evolutions (1994) (0)
- Striation model and spectral characteristics of optical-ir emission from HANE (high-altitude nuclear event). Memorandum report (1985) (0)
- 3p-D-1 Shock Driven Inhomogeneities and Nonlinear Preturbulent Evolutions : Visiometrics and the Formulation of Vortex-Paradigm Models (1996) (0)
- Visiometrics: From Solitons to Vortex Projectiles- Art and Science of Fluid Motions (2003) (0)
- Baroclinic Turbulence and Density-Gradient Intensification in Accelerated Inomogeneous Flows (2002) (0)
- Visualizing Classical Problems in CFD (1992) (0)
- Re-shock vs. Re-acceleration at Two-Dimensional Density Interfaces (1998) (0)
- Compressible vortex reconnection on the Connection Machine (1993) (0)
- Numerical Experiment of a Perturbed Pressure-Matched Supersonic Jet (1987) (0)
- Visualizing and Tracking Evolving Features in 3D Unstructured and Adaptive Datasets (2002) (0)
- Solitons and “Synacetics” (1973) (0)
- Intensi cation and Reconnection in Vortex Dominated Flows : Visiometrics and Modeling (1993) (0)
- Modeling of oceanic vortices: G.J.F. van Heijst (Editor), North Holland, Amsterdam, 1994 (1997) (0)
- Estimating the spectrum of electron density fluctuations from simulations of ionospheric plasma clouds. Interim report (1978) (0)
- Scaling behavior for vorticity ``drift'' from high-gradient interfaces in Richtmyer-Meshkov flows (2005) (0)
- A Striation Model and Spectral Characteristics of Optical-IR Emission from HANE (High Altitude Nuclear Event). (1985) (0)
- A Gallery of Fluid Motion: Patterns (2004) (0)
- Prof. Richard Bruce Pelz 1957–2002 (2005) (0)
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