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Rayleigh-Taylor instability is a classical hydrodynamic instability of great interest in various disciplines of science and engineering, including astrophyics, atmospheric sciences and climate, geophysics, and fusion energy.
Analysis of a complex of statistical variables into principal components
Harold Hotelling · 1933
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The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. i
Geoffrey Ingram Taylor · 1950
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Probability Theory
Michel Loeve · 1955
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Hydrodynamic and Hydromagnetic Stability
S. Chandrasekhar · 1961
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Fluid Dynamics: A LASL Monograph
F.H. Harlow and A.A. Amsfen · 1971
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Rayleigh–Taylor driven supernova explosions: A two-dimensional numerical study
M. Livio, J.R. Buchler, and S.A. Colgate · 1980
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Nonlinear theory and experimental observations of the local collisional Rayleigh–Taylor instability in a descending equatorial spread f f ionosphere
M.J. Keskinen, E.P. Szuszczewicz, S.L. S. L. Ossakow, and J.C. Holmes · 1981
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An overview of Rayleigh–Taylor instability
D.H. Sharp · 1984
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Computations of three-dimensional Rayleigh–Taylor instability
G. Tryggvason and S.O. Unverdi · 1990
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Rayleigh–Taylor instability in the asymmetric supernova explosion
S. Yamada and K. Sato · 1991
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Nonlinear Rayleigh–Taylor instabilities, atmospheric gravity waves and equatorial spread f f
W.S.D. Wilcock and J.A. Whitehead · 1991
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Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability
David L. Youngs · 1991
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Reconstructing phase space from PDE simulations
Michael Kirby and Dieter Armbruster · 1992
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Nonlinear Rayleigh–Taylor instabilities, atmospheric gravity waves and equatorial spread f f
C.-S. Huang, M.C. Kelley, and D.L. Hysell · 1993
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The proper orthogonal decomposition in the analysis of turbulent flows
Gal Berkooz, Philip Holmes, and John L Lumley · 1993
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Rayleigh–Taylor instabilities of a self-gravitating earth
H.-P. Plag and H.-U. Jüttner · 1995
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Efficient algorithms for computing a strong rank-revealing QR factorization
Ming Gu and Stanley C Eisenstat · 1996
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The growth of Rayleigh–Taylor-type instabilities in the lithosphere for various rheological and density structures
C.P. Conrad and P. Molnar · 1997
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Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion
R. Betti, V.N. V. N. Goncharov, R.L. McCrory, and C.P. Verdon · 1998
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Rayleigh–Taylor instabilities in young supernova remnants undergoing efficient particle acceleration
John M. Blondin and Donald C. Ellison · 2001
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Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics
Karl Kunisch and Stefan Volkwein · 2002
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Compressible Rayleigh–Taylor instabilities in supernova remnants
X. Ribeyre and V.T. Tikhonchuk · 2004
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A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The alpha-group collaboration
David L. Youngs · 2004
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A survey of model reduction by balanced truncation and some new results
Serkan Gugercin and Athanasios C Antoulas · 2004
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Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control
Michael Hinze and Stefan Volkwein · 2005
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POD and CVT-based reduced-order modeling of Navier–Stokes flows
John Burkardt, Max Gunzburger, and Hyung-Chun Lee · 2006
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Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
Shun Wang, Eric de Sturler, and Glaucio H Paulino · 2007
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Enablers for robust POD models
Michel Bergmann, C-H Bruneau, and Angelo Iollo · 2009
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Non-linear model reduction for uncertainty quantification in large-scale inverse problems
David Galbally, Krzysztof Fidkowski, Karen Willcox, and Omar Ghattas · 2010
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Nonlinear model reduction via discrete empirical interpolation
Saifon Chaturantabut and Danny C Sorensen · 2010
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Large-scale inverse problems and quantification of uncertainty
Lorenz Biegler, George Biros, Omar Ghattas, Matthias Heinkenschloss, David Keyes, Bani Mallick, Luis Tenorio, Bart van Bloemen Waanders, Karen Willcox, and Youssef Marzouk · 2011
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Efficient non-linear model reduction via a least–squares Petrov–Galerkin projection and compressive tensor approximations
Kevin Carlberg, Charbel Bou‐Mosleh, and Charbel Farhat · 2011
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High-order curvilinear finite element methods for Lagrangian hydrodynamics
Veselin A Dobrev, Tzanio V Kolev, and Robert N Rieben · 2012
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Simultaneous analysis and design in PDE-constrained optimization
Young Soo Choi · 2012
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Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
Harbir Antil, Matthias Heinkenschloss, Ronald HW Hoppe, Christopher Linsenmann, and Achim Wixforth · 2012
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PG Constantine and G Iaccarino · 2012
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Kyle Washabaugh, David Amsallem, Matthew Zahr, and Charbel Farhat · 2012
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David Amsallem, Matthew J. Zahr, and Charbel Farhat · 2012
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Numerical simulation of the three-dimensional Rayleigh–Taylor instability
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling
Benjamin Peherstorfer · 2018
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The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena
Julius Reiss, Philipp Schulze, Jörn Sesterhenn, and Volker Mehrmann · 2018
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Transport reversal for model reduction of hyperbolic partial differential equations
Donsub Rim, Scott Moe, and Randall J LeVeque · 2018
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The discrete empirical interpolation method: Canonical structure and formulation in weighted inner product spaces
Zlatko Drmac and Arvind Krishna Saibaba · 2018
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Rayleigh–Taylor instabilities in high-energy density settings on the national ignition facility
Bruce A. Remington, Hye-Sook Park, Daniel T. Casey, Robert M. Cavallo, Daniel S. Clark, Channing M. Huntington, Carolyn C. Kuranz, Aaron R. Miles, Sabrina R. Nagel, Kumar S. Raman, and Vladimir A. Smalyuk · 2019
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Uncertainty quantification: theory, implementation, and applications
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Gabriel Dimitriu, Ionel M Navon, and Răzvan Ştefănescu · 2013
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Dunhui Xiao, Fangxin Fang, Andrew G Buchan, Christopher C Pain, Ionel Michael Navon, Juan Du, and G Hu · 2014
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POD-DEIM based model order reduction for the spherical shallow water equations with Turkel-Zwas finite difference discretization
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