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A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows

https://doi.org/10.1093/imanum/dry094
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/fld.4249openalex-snapshot
2D Burgers equation with large Reynolds number using POD/DEIM and calibration
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On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far‐field boundary treatment
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Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations
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Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
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Variational multiscale proper orthogonal decomposition: Navier‐stokes equations
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Time relaxation algorithm for flow ensembles
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Ensemble time‐stepping algorithms for the heat equation with uncertain conductivity
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Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
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Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis
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Finite Element Approximation of the Navier-Stokes Equations
inferredcites →https://doi.org/10.1007/s002110100282openalex-snapshot
Galerkin proper orthogonal decomposition methods for parabolic problems
inferredcites →https://doi.org/10.1007/s10208-013-9154-zopenalex-snapshot
High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs
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A block conjugate gradient method applied to linear systems with multiple right-hand sides
inferredcites →https://doi.org/10.1016/j.cam.2017.06.026openalex-snapshot
Numerical analysis of the Leray reduced order model
inferredcites →https://doi.org/10.1016/j.cma.2015.01.020openalex-snapshot
SUPG reduced order models for convection-dominated convection–diffusion–reaction equations
inferredcites →https://doi.org/10.1016/j.cma.2016.10.005openalex-snapshot
Approximate deconvolution reduced order modeling
inferredcites →https://doi.org/10.1016/j.jcp.2004.02.009openalex-snapshot
Accurate, stable and efficient Navier–Stokes solvers based on explicit treatment of the pressure term
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Sparse grid collocation schemes for stochastic natural convection problems
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The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows
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Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier–Stokes equations
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Robust model identification of actuated vortex wakes
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A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
inferredcites →https://doi.org/10.1017/jfm.2013.278openalex-snapshot
Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
inferredcites →https://doi.org/10.1017/jfm.2014.168openalex-snapshot
On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high-Reynolds-number flow over an Ahmed body
inferredcites →https://doi.org/10.1017/s0962492914000075openalex-snapshot
Stochastic finite element methods for partial differential equations with random input data
inferredcites →https://doi.org/10.1051/m2an/2014050openalex-snapshot
Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
inferredcites →https://doi.org/10.1063/1.1529180openalex-snapshot
Regularization modeling for large-eddy simulation
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Differential filters of elliptic type
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A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
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An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
inferredcites →https://doi.org/10.1137/1.9780898718904openalex-snapshot
Introduction to the Numerical Analysis of Incompressible Viscous Flows
inferredcites →https://doi.org/10.1137/15m1047696openalex-snapshot
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
inferredcites →https://doi.org/10.1137/16m1056444openalex-snapshot
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier--Stokes Equations
inferredcites →https://doi.org/10.1515/cmam-2016-0033openalex-snapshot
An Efficient Algorithm for Computation of MHD Flow Ensembles
inferredcites →https://doi.org/10.1615/int.j.uncertaintyquantification.2014007691openalex-snapshot
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What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113563openalex-snapshot
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On closures for reduced order models—A spectrum of first-principle to machine-learned avenues
inferred← citeshttps://doi.org/10.1093/imanum/draf150openalex-snapshot
POD-ROM methods: error analysis for continuous parametrized approximations
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libEnsemble: A Library to Coordinate the Concurrent Evaluation of Dynamic Ensembles of Calculations
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New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data
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