Cluster-based reduced-order modelling of a mixing layer
暂无分享,去创建一个
Bernd R. Noack | Eurika Kaiser | Marc Segond | Laurent Cordier | B. R. Noack | Andreas Spohn | Markus Abel | Sinivsa Krajnovi'c | Guillaume Daviller | Jan Osth | Robert K. Niven Institut PPRIME Ambrosys GmbH | LEMTA | Potsdam University | CERFACS | Chalmers University of Technology | The University of New South Wales at ADFA | L. Cordier | Markus Abel | G. Daviller | E. Kaiser | Cerfacs | J. Osth | A. Spohn | M. Segond | Sinivsa Krajnovi'c | C. U. Technology | P. University | R. K. N. I. P. A. GmbH | Lemta | The University of New South Wales at Adfa | C. Technology
[1] Guillaume Daviller,et al. Etude numérique des effets de température dans les jets simples et coaxiaux , 2010 .
[2] L. Biferale,et al. Exit-Time Approach to e-Entropy , 2000 .
[3] Gary Froyland,et al. Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach , 2011, SIAM J. Numer. Anal..
[4] Hermann F. Fasel,et al. Dynamics of three-dimensional coherent structures in a flat-plate boundary layer , 1994, Journal of Fluid Mechanics.
[5] B. R. Noack. Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 2013 .
[6] Peter A. Monkewitz,et al. Subharmonic resonance, pairing and shredding in the mixing layer , 1988, Journal of Fluid Mechanics.
[7] C. Sparrow. The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors , 1982 .
[8] Gilead Tadmor,et al. Using large eddy simulation to explore sound-source mechanisms in jets , 2011 .
[9] Trevor Hastie,et al. The Elements of Statistical Learning , 2001 .
[10] A. Roshko,et al. On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.
[11] Michael C. Mackey,et al. Chaos, Fractals, and Noise , 1994 .
[12] Amy Nicole Langville,et al. Google's PageRank and beyond - the science of search engine rankings , 2006 .
[13] B. R. Noack,et al. Maximum-entropy closure for a Galerkin model of an incompressible periodic wake , 2012, Journal of Fluid Mechanics.
[14] Robert Tibshirani,et al. The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition , 2001, Springer Series in Statistics.
[15] P. Meliga,et al. Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach , 2010 .
[16] P. Dimotakis,et al. The mixing layer at high Reynolds number: large-structure dynamics and entrainment , 1976, Journal of Fluid Mechanics.
[17] George Leitmann,et al. Dynamics and Control , 2020, Fundamentals of Robotics.
[18] Shi-Da Liu. Nonlinear dynamics and turbulence , 1986 .
[19] Yi Peng,et al. A Multicriteria Decision Making Approach for Estimating the Number of Clusters in a Data Set , 2012, PloS one.
[20] Geoffrey H. Ball,et al. ISODATA, A NOVEL METHOD OF DATA ANALYSIS AND PATTERN CLASSIFICATION , 1965 .
[21] P. Schmid,et al. Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.
[22] G. Nicolis,et al. Spectral signature of the pitchfork bifurcation: Liouville equation approach. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[23] C. Fletcher. Computational Galerkin Methods , 1983 .
[24] Max D. Gunzburger,et al. Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems , 2006, SIAM J. Sci. Comput..
[25] O. Cadot,et al. Turbulent wake past a three-dimensional blunt body. Part 1. Global modes and bi-stability , 2013, Journal of Fluid Mechanics.
[26] Boris G. Mirkin,et al. Intelligent Choice of the Number of Clusters in K-Means Clustering: An Experimental Study with Different Cluster Spreads , 2010, J. Classif..
[27] Kevin P. Murphy,et al. Machine learning - a probabilistic perspective , 2012, Adaptive computation and machine learning series.
[28] Olivier Cadot,et al. Reflectional symmetry breaking of the separated flow over three-dimensional bluff bodies. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[29] B. R. Noack,et al. Feedback shear layer control for bluff body drag reduction , 2008, Journal of Fluid Mechanics.
[30] Radford M. Neal. Pattern Recognition and Machine Learning , 2007, Technometrics.
[31] Gilead Tadmor,et al. A generalized mean-field model of the natural and high-frequency actuated flow around a high-lift configuration , 2009 .
[32] M Abel,et al. Exit-time approach to epsilon-entropy. , 2000, Physical review letters.
[33] Stephen Wiggins,et al. A method for visualization of invariant sets of dynamical systems based on the ergodic partition. , 1999, Chaos.
[34] B. R. Noack,et al. A hierarchy of low-dimensional models for the transient and post-transient cylinder wake , 2003, Journal of Fluid Mechanics.
[35] Sergei Vassilvitskii,et al. k-means++: the advantages of careful seeding , 2007, SODA '07.
[36] R. Niven. Combinatorial entropies and statistics , 2009, 0902.3038.
[37] Bernd R. Noack,et al. Maximum-entropy closure for a Galerkin system of incompressible shear flow , 2011 .
[38] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[39] Max Gunzburger,et al. POD and CVT-based reduced-order modeling of Navier-Stokes flows , 2006 .
[40] L. Biferale,et al. Exit-times and -entropy for dynamical systems, stochastic processes, and turbulence , 2000 .
[41] Wolfgang Schröder,et al. On least-order flow representations for aerodynamics and aeroacoustics , 2012, Journal of Fluid Mechanics.
[42] Erik M. Bollt,et al. Applied and Computational Measurable Dynamics , 2013, Mathematical modeling and computation.
[43] Daniel D. Joseph,et al. Nonlinear dynamics and turbulence , 1983 .
[44] R. A. Silverman,et al. The Mathematical Theory of Viscous Incompressible Flow , 2014 .
[45] Peter J. Schmid,et al. A physics-based approach to flow control using system identification , 2012, Journal of Fluid Mechanics.
[46] John Kim,et al. Control and system identification of a separated flow , 2008 .
[47] Patrick D. Weidman,et al. Large scales in the developing mixing layer , 1976, Journal of Fluid Mechanics.
[48] Laurent Cordier,et al. Calibration of POD reduced‐order models using Tikhonov regularization , 2009 .
[49] J. Nathan Kutz,et al. Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data , 2013 .
[50] Gunther Ramm,et al. Some salient features of the time - averaged ground vehicle wake , 1984 .
[51] Erik M. Bollt,et al. Identifying stochastic basin hopping by partitioning with graph modularity , 2007 .
[52] Robert Tibshirani,et al. Estimating the number of clusters in a data set via the gap statistic , 2000 .
[53] Nadine Aubry,et al. The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.
[54] Solomon Kullback,et al. Information Theory and Statistics , 1960 .
[55] D. Rempfer. On Boundary Conditions for Incompressible Navier-Stokes Problems , 2006 .
[56] J. MacQueen. Some methods for classification and analysis of multivariate observations , 1967 .
[57] B. Moore. Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .
[58] S. P. Lloyd,et al. Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.
[59] Bernd R. Noack,et al. The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows , 2005, Journal of Fluid Mechanics.
[60] Chabane Djeraba,et al. Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics , 2008, Advanced Information and Knowledge Processing.
[61] E. M.,et al. Statistical Mechanics , 2021, Manual for Theoretical Chemistry.
[62] Shervin Bagheri,et al. Koopman-mode decomposition of the cylinder wake , 2013, Journal of Fluid Mechanics.
[63] L. Sirovich,et al. Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour , 1994, Journal of Fluid Mechanics.
[64] Bernd R. Noack,et al. Identification strategies for model-based control , 2013 .
[65] Dmitry Turaev,et al. Quasiattractors and Homoclinic Tangencies , 1997 .
[66] Aapo Hyvärinen,et al. Independent component analysis: recent advances , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[67] Tien-Yien Li. Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture , 1976 .
[68] Carl D. Meyer,et al. Matrix Analysis and Applied Linear Algebra , 2000 .
[69] Sylvain Laizet,et al. Direct numerical simulation of a mixing layer downstream a thick splitter plate , 2010 .
[70] Dan S. Henningson,et al. Input-Output Analysis and Control Design Applied to a Linear Model of Spatially Developing Flows , 2009 .
[71] R. A. Leibler,et al. On Information and Sufficiency , 1951 .
[72] Clarence W. Rowley,et al. Model Reduction for fluids, Using Balanced Proper Orthogonal Decomposition , 2005, Int. J. Bifurc. Chaos.
[73] John A. Hartigan,et al. Clustering Algorithms , 1975 .
[74] Qiang Du,et al. Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..
[75] I. Kevrekidis,et al. Low‐dimensional models for complex geometry flows: Application to grooved channels and circular cylinders , 1991 .
[76] B. R. Noack,et al. On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high-Reynolds-number flow over an Ahmed body , 2013, Journal of Fluid Mechanics.
[77] I. Mezić,et al. Spectral analysis of nonlinear flows , 2009, Journal of Fluid Mechanics.
[78] Stefan Becker,et al. Flow and Turbulence Structure in the Wake of a Simplified Car Model , 2003 .
[79] Gilead Tadmor,et al. Galerkin Method for Nonlinear Dynamics , 2011 .
[80] Gilead Tadmor,et al. Reduced-Order Modelling for Flow Control , 2013 .
[81] Athanasios C. Antoulas,et al. Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.
[82] B. Eckhardt,et al. Statistical analysis of coherent structures in transitional pipe flow. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[83] A. Kolmogorov,et al. Entropy and "-capacity of sets in func-tional spaces , 1961 .