#13,436

Most Influential Person

American mathematician

According to Wikipedia, Alexandre Joel Chorin is an American mathematician known for his contributions to computational fluid mechanics, turbulence, and computational statistical mechanics. Chorin's work involves developing methods for solving physics and fluid mechanics problems computationally. His early work introduced several widely used numerical methods for solving the Navier-Stokes equations, including the method of artificial compressibility, the projection method, and vortex methods. He has made numerous contributions to turbulence theory. In recent years he has been developing methods for prediction in the face of uncertainty and for filtering and data assimilation.

- Numerical solution of the Navier-Stokes equations (4034)
- A Numerical Method for Solving Incompressible Viscous Flow Problems (2435)
- Numerical study of slightly viscous flow (1406)
- A mathematical introduction to fluid mechanics (1114)
- Numerical Solution of the Navier-Stokes Equations* (929)
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations (538)
- Vorticity and turbulence (473)
- Random choice solution of hyperbolic systems (362)
- Product formulas and numerical algorithms (325)
- Vortex sheet approximation of boundary layers (276)
- Optimal prediction and the Mori-Zwanzig representation of irreversible processes. (272)
- Discretization of a vortex sheet, with an example of roll-up☆ (246)
- Optimal prediction with memory (230)
- Flame advection and propagation algorithms (189)
- Numerical modelling of turbulent flow in a combustion tunnel (184)
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations* (183)
- Stochastic Tools in Mathematics and Science (181)
- The evolution of a turbulent vortex (181)
- Computational Fluid Mechanics (165)
- Random choice methods with applications to reacting gas flow (151)
- Implicit sampling for particle filters (145)
- Vortex Models and Boundary Layer Instability (144)
- The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid (133)
- Implicit particle filters for data assimilation (122)
- Hairpin Removal in Vortex Interactions II (114)
- A random map implementation of implicit filters (109)
- Optimal prediction of underresolved dynamics. (105)
- Gaussian fields and random flow (97)
- Problem reduction, renormalization, and memory (97)
- Scaling laws for fully developed turbulent flow in pipes: discussion of experimental data. (84)
- Curvature and solidification (83)
- Hermite expansions in Monte-Carlo computation (83)
- Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers (76)
- Estimates of intermittency, spectra, and blow-up in developed turbulence (69)
- Communications in Applied Mathematics and Computational Science (67)
- Dimensional reduction for a Bayesian filter. (65)
- Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics (64)
- New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency (60)
- Data-based stochastic model reduction for the Kuramoto--Sivashinsky equation (59)
- Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data (59)
- Riemann Problems for Reacting Gas, with Applications to Transition (57)
- Conditional Expectations and Renormalization (57)
- The turbulent wall jet: a triple-layered structure and incomplete similarity. (55)
- Unresolved Computation and Optimal Predictions (47)
- A note concerning the Lighthill "sandwich model" of tropical cyclones. (45)
- Implicit Particle Methods and Their Connection with Variational Data Assimilation (44)
- Conditions for successful data assimilation (44)
- Flame Advection and Propagation Algorithms (39)
- Scaling of the intermediate region in wall-bounded turbulence: The power law (39)
- Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence (38)
- Turbulence calculations in magnetization variables (38)
- A note on the intermediate region in turbulent boundary layers (38)
- Optimal Prediction for Hamiltonian Partial Differential Equations (37)
- Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems (36)
- New perspectives in turbulence (36)
- Implicit particle filtering for models with partial noise, and an application to geomagnetic data assimilation (36)
- Accurate Evaluation of Wiener Integrals (35)
- Vortex Sheet Approximation of Boundary Layers (34)
- Scaling laws in the vortex lattice model of turbulence (32)
- Structure of the zero-pressure-gradient turbulent boundary layer. (32)
- Equilibrium statistics of a vortex filament with applications (31)
- Regular ArticleHairpin Removal in Vortex Interactions II (31)
- Vortex equilibria in turbulence theory and quantum analogues (30)
- Parameter estimation by implicit sampling (29)
- Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. (29)
- A model of a turbulent boundary layer with a nonzero pressure gradient (28)
- Numerical modeling of turbulent combustion in premixed gases (28)
- Lectures on turbulence theory (28)
- A mathematical model for the scaling of turbulence. (28)
- Wave Motion: Theory, Modelling, and Computation (27)
- Turbulence and vortex stretching on a lattice (27)
- Quasilinearization and Nonlinear Problems in Fluid and Orbital Mechanics (27)
- Prediction from Partial Data, Renormalization, and Averaging (25)
- The instability of fronts in a porous medium (25)
- On the prediction of large-scale dynamics using unresolved computations (24)
- Averaging and renormalization for the Korteveg–deVries–Burgers equation (22)
- Partition functions and equilibrium measures in two‐dimensional and quasi‐three‐dimensional turbulence (21)
- Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems (21)
- Numerical vorticity creation based on impulse conservation. (19)
- Comment on the paper “on the scaling of three-dimentsional homogeneous and isotropic turbulence” by Benzi et al. (18)
- Stochastic Optimal Prediction with Application to Averaged Euler Equations (17)
- A survey of implicit particle filters for data assimilation (16)
- Numerical solution of Boltzmann's equation (16)
- A Numerical Method for Solving Incompressible Viscous Flow Problems1 (16)
- Non-Markovian Optimal Prediction (15)
- Viscosity-dependent inertial spectra of the Burgers and Korteweg-deVries-Burgers equations. (15)
- Accounting for Model Error from Unresolved Scales in Ensemble Kalman Filters by Stochastic Parameterization (14)
- Turbulent flows at very large Reynolds numbers: new lessons learned (13)
- NUMERICAL METHODS FOR USE IN COMBUSTION MODELING (13)
- SAMPLING, FEASIBILITY, AND PRIORS IN DATA ASSIMILATION (13)
- Path Integral Formulation of Stochastic Optimal Control with Generalized Costs (13)
- A vortex model with superfluid and turbulent percolation (13)
- Vortex phase transitions in 21/2 dimensions (12)
- Numerical estimates of Hausdorff dimension (12)
- On the existence and scaling of structure functions in turbulence according to the data. (12)
- Elementary Fluid Dynamics and a Mathematical Introduction to Fluid Mechanics (12)
- AN ITERATIVE IMPLEMENTATION OF THE IMPLICIT NONLINEAR FILTER (11)
- Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. (11)
- Computational aspects of the turbulence problem (11)
- The influence of the flow of the reacting gas on the conditions for a thermal explosion. (11)
- Turbulence: An Old Challenge and New Perspectives (11)
- Review: Roger Peyret and Thomas D. Taylor, Computational methods for fluid flow (11)
- Numerical simulation of a turbulent flame stabilized behind a rearward-facing step (10)
- Estimating the uncertainty in underresolved nonlinear dynamics (10)
- Interpolation and Iteration for Nonlinear Filters (10)
- Numerical Solution of the Buckley-Leverett Equations (10)
- A vortex method for the study of rapid flow (9)
- Analysis of Experimental Investigations of Self-Similar Intermediate Structures in Zero-Pressure Boundary Layers at Large Reynolds Numbers (9)
- Implicit Sampling, with Application to Data Assimilation (9)
- Constrained random walks and vortex filaments in turbulence theory (9)
- Monte Carlo without chains (9)
- Microstructure, renormalization, and more efficient vortex methods (8)
- Hybrid vortex/magnet methods for flow over a solid boundary (8)
- Random Choice Methods with Applications to Reacting Gas Flow (7)
- Note a comment on the paper “the calculation of large reynolds number flow using discrete vortices with random walk” by F. Milinazzo and P.G. Saffman (6)
- Lecture II Theories of turbulence (6)
- AN ANALYSIS OF TURBULENT FLOW WITH SHEAR (6)
- Vortex methods for the study of turbulent combustion at a low Mach number (5)
- Vortices, turbulence, and statistical mechanics (5)
- Sampling, feasibility, and priors in Bayesian estimation (5)
- LATTICE VORTEX MODELS AND TURBULENCE THEORY (4)
- VORTEX MODELS AND BOUNDARY LAYER INSTABILITY (4)
- Analysis of Kosterlitz-Thouless transition models (3)
- Book Review: Kolmogorov spectra of turbulence \RM {I:} Wave turbulence (3)
- Non-Bayesian particle filters (3)
- Vortex methods and vortex statistics (3)
- Correction to the paper by G I Barenblatt, A J Chorin, V M Prostokishin “Turbulent flows at very large Reynolds numbers: new lessons learned” [Physics-Uspekhi 57 (3) 250-256 (2014)] (3)
- Random Choice Solution of Hyperbolic Systems (2)
- Computational Fluid Mechanics: Selected Papers (2)
- Solution of lattice models by successive linkage (2)
- CRUDE NUMERICAL APPROXIMATION OF TURBULENT FLOW (2)
- The Kolmogorov Theory (2)
- Wave motion : theory, modelling, and computation : proceedings of a conference in honor of the 60th birthday of Peter D. Lax (2)
- Numerical Modeling of Turbulent Combustion (2)
- REPRESENTATIONS OF RANDOM FLOW (2)
- Numerical scaling analysis of the small-scale structure in turbulence (1)
- A Random Choice Method in Gas Dynamics (1)
- Vortex Methods and Turbulence Theory (1)
- Brownian Motion with Applications (1)
- An Introduction to Euler’S Equations for an Incompressible Fluid (1)
- Implicit sampling for data assimilation (1)
- The Equations of Motion (1)
- The Kolmogorov-Obukhov Exponent in the Inertial Range of Turbulence: A Reexamination of Experimental Data (1)
- One-Sided Polarization and Renormalization Flow in the Kosterlitz-Thouless Phase Transition (1)
- Numerical methods in statistical hydrodynamics (1)
- Vortex Equilibria in Three-Dimensional Space (1)
- A new formulation of the near-equilibrium theory of turbulence (1)
- Averaging and renormalization for the KdV-burgers equation (1)
- Statistical Mechanics of Vortex Filaments (1)
- Introduction to Probability (0)
- On Turbulence Modeling(Mathematical Fluid Mechanics and Modeling) (0)
- Inertial Range Flow and Turbulent Cascades (0)
- Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title Estimating the uncertainty in underresolved nonlinear dynamics Permalink (0)
- Equilibrium Flow in Spectral Variables and in Two Space Dimensions (0)
- A variational implementation of the implicit particle filter for the shallow water equations (0)
- Optimal prediction and t representation of irrever (0)
- Title : Finite Element Differential Forms on Simplices and Cubes (0)
- Polymers, Percolation, Renormalization (0)
- A Note Concerning the Turbulent Boundary Layer Drag at Large Reynolds Numbers (0)
- Implicit sampling for parameter estimation (0)
- Time-Varying Probabilities (0)
- eb 2 00 0 A Note on the Intermediate Region in Turbulent Boundary Layers (0)
- Foreword by A. J. Chorin (0)
- Potential Flow and Slightly Viscous Flow (0)
- Numerical simulation of the interaction of a flame with a Karman vortex street (0)
- Erratum to: Chapter 9 Generalized Langevin Equations (0)
- Lawrence Berkeley National Laboratory Recent Work Title THE EVOLUTION OF A TURBULENT VORTEX Permalink (0)
- Discretization of a Vortex Sheet, with an Example of Roll-Up* (0)
- Random Flow and Its Spectra (0)
- Computational aspects of Glimm's method (0)
- The Evolution of a Turbulent Vortex (0)
- Computational Statistical Mechanics (0)
- Generalized Langevin Equations (0)
- A Global Approach to the Identification of Model Noise (0)
- Computing with Probability (0)
- Scaling laws for turbulent jet flows at very large Reynolds numbers (0)
- Scaling Laws and Zero Viscosity Limits for Wall-bounded Shear Flows and for Local Structures in Developed Turbulence (0)
- Why Turbulence Theories Cannot be Like the Kinetic Theory of Gases (0)
- 2 6 M ar 2 00 5 PROBLEM REDUCTION , RENORMALIZATION , AND MEMORY (0)
- Turbulence and Dynamical Systems. (0)
- Numerical experiments with an implicit particle filter for the shallow water equations (0)
- Gas Flow in One Dimension (0)
- Partition Functions and Invariant States in Two-dimensional and Nearly Two-dimensional Turbulence (0)
- Limitations of polynomial chaos in Bayesian parameter estimation (0)
- A discrete-time approach to stochastic model reduction for spatiotemporally chaotic systems (0)
- Time-Dependent Statistical Mechanics (0)
- Stationary Stochastic Processes (0)
- Implicit sampling and its connection to variational data assimilation (0)
- Numerical Solution of Boltzmann's Equation* (0)
- Lawrence Berkeley National Laboratory Recent Work Title Stochastic Optimal Prediction with Application to Averaged Euler (0)
- Implicit particle filtering for equations with partial noise and application to geomagnetic data assimilation (0)

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