Enablers for robust POD models
From MaRDI portal
Publication:1010333
DOI10.1016/j.jcp.2008.09.024zbMath1409.76099OpenAlexW2006254762MaRDI QIDQ1010333
Charles-Henri Bruneau, Angelo Iollo, Michel Bergmann
Publication date: 3 April 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.09.024
stabilizationproper orthogonal decomposition (POD)reduced order modelfunctional subspace improvement
Related Items
Calibration of projection-based reduced-order models for unsteady compressible flows, Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations, A POD-Galerkin reduced order model of a turbulent convective buoyant flow of Sodium over a backward-facing step, A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations, On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows, A long short-term memory embedding for hybrid uplifted reduced order models, Windowed least-squares model reduction for dynamical systems, A POD-Galerkin reduced order model for a LES filtering approach, A dual-weighted trust-region adaptive POD 4-D Var applied to a finite-volume shallow water equations model on the sphere, Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation, Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations, A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems, Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations, SYSTEM IDENTIFICATION IN TUMOR GROWTH MODELING USING SEMI-EMPIRICAL EIGENFUNCTIONS, Nonlinear model reduction for unsteady discontinuous flows, A numerical investigation of velocity-pressure reduced order models for incompressible flows, POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation, Data-Driven Filtered Reduced Order Modeling of Fluid Flows, Model order reduction for compressible flows solved using the discontinuous Galerkin methods, A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations, Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods, Bayesian identification of a projection-based reduced order model for computational fluid dynamics, Two-level discretizations of nonlinear closure models for proper orthogonal decomposition, Reduced-order modeling of transonic flows around an airfoil submitted to small deformations, The adjoint Petrov-Galerkin method for non-linear model reduction, A zonal Galerkin-free POD model for incompressible flows, Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations, Adaptive POD-based low-dimensional modeling supported by residual estimates, Accelerating PDE constrained optimization by the reducedbasis method: application to batch chromatography, Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling, Pressure data-driven variational multiscale reduced order models, Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction, A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection, Conservative model reduction for finite-volume models, POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder, Model reduction for the material point method via an implicit neural representation of the deformation map, A nonlinear POD-Galerkin reduced-order model for compressible flows taking into account rigid body motions, A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation, A minimum residual projection to build coupled velocity-pressure POD-ROM for incompressible Navier-Stokes equations, Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes, \(\alpha \) regularization of the POD-Galerkin dynamical systems of the Kuramoto-Sivashinsky equation, Hybrid data-driven closure strategies for reduced order modeling, Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM, Reduced order modeling for parametrized generalized Newtonian fluid flows, Adaptive POD model reduction for solute transport in heterogeneous porous media, A streamline derivative POD-ROM for advection-diffusion-reaction equations, On the use of POD-based ROMs to analyze bifurcations in some dissipative systems, Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment, Improving the \( k\)-\textit{compressibility} of hyper reduced order models with moving sources: applications to welding and phase change problems, A priori space-time separated representation for the reduced order modeling of low Reynolds number flows, Modified empirical eigenfunctions and its applications for model reduction of nonlinear spatiotemporal systems, Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems, An optimal projection method for the reduced-order modeling of incompressible flows, Reduced-order subscales for POD models, SUPG reduced order models for convection-dominated convection-diffusion-reaction equations, Equation‐free model reduction for complex dynamical systems, Numerical methods for low‐order modeling of fluid flows based on POD, Numerical Analysis of a Projection-Based Stabilized POD-ROM for Incompressible Flows, Mean field representation of the natural and actuated cylinder wake, An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations, Fast divergence-conforming reduced basis methods for steady Navier-Stokes flow, A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow, Isogeometric analysis and proper orthogonal decomposition for parabolic problems, Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition, Data-driven closure of projection-based reduced order models for unsteady compressible flows, Multidimensional a priori hyper-reduction of mechanical models involving internal variables, Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison, Shape sensitivity analysis in flow models using a finite-difference approach, POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver, Projection-based reduced order models for a cut finite element method in parametrized domains, A goal-oriented reduced-order modeling approach for nonlinear systems, A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations, A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations, Data-driven variational multiscale reduced order models, A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool, A Galerkin-free model reduction approach for the Navier-Stokes equations, A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model, A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow, Adaptive sampling and modal expansions in pattern-forming systems, A reduced order variational multiscale approach for turbulent flows, POD model order reduction with space-adapted snapshots for incompressible flows, Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape, Reduced-order models for closed-loop wake control, Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection, POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations, Approximate deconvolution reduced order modeling, Reduced order models for Lagrangian hydrodynamics, Projection-based reduced order models for flow problems: a variational multiscale approach, Reduced-order model for the BGK equation based on POD and optimal transport, Galerkin force model for transient and post-transient dynamics of the fluidic pinball, Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations, Data-driven POD-Galerkin reduced order model for turbulent flows, Stabilized reduced-order models for unsteady incompressible flows in three-dimensional parametrized domains, Model reduction techniques for the simulation of particle populations in fluid flow, Application of recurrence CFD (rCFD) to species transport in turbulent vortex shedding, Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition, A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations, Verifiability of the data-driven variational multiscale reduced order model, Construction of Bifurcation Diagrams Using POD on the Fly, Simulation of complex dynamics using POD `on the fly' and residual estimates, A POD-based reduced-order model for uncertainty analyses in shallow water flows, Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation, Numerical Assessment of a Nonintrusive Surrogate Model Based on Recurrent Neural Networks and Proper Orthogonal Decomposition: Rayleigh–Bénard Convection, Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows, An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems, Reduced order modeling of parametrized pulsatile blood flows: hematocrit percentage and heart rate, Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections, On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation, Accelerating inverse inference of ensemble Kalman filter via reduced-order model trained using adaptive sparse observations, Forward sensitivity analysis and mode dependent control for closure modeling of Galerkin systems, Uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the Burgers equation, Sum-of-squares approach to feedback control of laminar wake flows, Non-intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives, Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems, A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems, An Artificial Compression Reduced Order Model, An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier--Stokes Equations, Cluster-based hierarchical network model of the fluidic pinball – cartographing transient and post-transient, multi-frequency, multi-attractor behaviour
Cites Work
- Unnamed Item
- Calibrated reduced-order POD-Galerkin system for fluid flow modelling
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Goal-oriented, model-constrained optimization for reduction of large-scale systems
- Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models
- A finite-time thermodynamics of unsteady fluid flows
- A reduced-order method for simulation and control of fluid flows
- The variational multiscale method -- a paradigm for computational mechanics
- A spectral viscosity method for correcting the long-term behavior of POD models.
- On low-dimensional Galerkin models for fluid flow
- Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
- A spectral vanishing viscosity method for large eddy simulations
- Equation-free/Galerkin-free POD-assisted computation of incompressible flows
- Low-dimensional modelling of a confined three-dimensional wake flow
- Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes
- An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models
- The influence of control on proper orthogonal decomposition of wall-bounded turbulent flows
- Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
- A low-dimensional approach for the minimal flow unit
- Numerical Optimization
- Optimal control of vortex shedding using low-order models. Part I?open-loop model development
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- A low-dimensional model for simulating three-dimensional cylinder flow
- Low-order modelling of laminar flow regimes past a confined square cylinder
- The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
- A low-dimensional Galerkin method for the three-dimensional flow around a circular cylinder
- Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition
- MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
- Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems
- Two stable POD-based approximations to the Navier-Stokes equations