An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models
From MaRDI portal
Publication:3532066
DOI10.1063/1.2723149zbMath1146.76431OpenAlexW2019094351MaRDI QIDQ3532066
Anil E. Deane, Virginia L. Kalb
Publication date: 3 November 2008
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/966de8edb08fec682769b4528ad7f8e9fbca01e4
Related Items
Numerical Assessment of a Nonintrusive Surrogate Model Based on Recurrent Neural Networks and Proper Orthogonal Decomposition: Rayleigh–Bénard Convection, A long short-term memory embedding for hybrid uplifted reduced order models, Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations, Reduced-order modeling for unsteady transonic flows around an airfoil, Open-loop control of cavity noise using proper orthogonal decomposition reduced-order model, International journal of computational fluid dynamics real-time prediction of unsteady flow based on POD reduced-order model and particle filter, Reduced modeling of porous media convection in a minimal flow unit at large Rayleigh number, Strong and weak constraint variational assimilations for reduced order fluid flow modeling, 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, An optimal projection method for the reduced-order modeling of incompressible flows, Reduced-order subscales for POD models, Calibration of POD reduced‐order models using Tikhonov regularization, A nudged hybrid analysis and modeling approach for realtime wake-vortex transport and decay prediction, Reduced order models based on local POD plus Galerkin projection, Learning-based robust stabilization for reduced-order models of 2D and 3D Boussinesq equations, Machine learning closures for model order reduction of thermal fluids, Enablers for robust POD models, Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale flow analysis, Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection, Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation, Reinforcement learning-based model reduction for partial differential equations: application to the Burgers equation, Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation
Cites Work
- On the hidden beauty of the proper orthogonal decomposition
- Application of a fractional-step method to incompressible Navier-Stokes equations
- High-order splitting methods for the incompressible Navier-Stokes equations
- Low-dimensional dynamical system model for observed coherent structures in ocean satellite data
- Low-dimensional modeling of a driven cavity flow with two free parameters
- A spectral viscosity method for correcting the long-term behavior of POD models.
- On low-dimensional Galerkin models for fluid flow
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Benchmark spectral results on the lid-driven cavity flow
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers
- Low-order models for the flow in a differentially heated cavity
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
- Low-dimensional control of the circular cylinder wake
- Optimal control of vortex shedding using low-order models. Part I?open-loop model development
- Benchmark solutions for the incompressible Navier–Stokes equations in general co‐ordinates on staggered grids
- Is the steady viscous incompressible two‐dimensional flow over a backward‐facing step at Re = 800 stable?
- Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions
- Numerical Simulation in Fluid Dynamics
- A New Look at Proper Orthogonal Decomposition
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- 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
- Nonlinear Galerkin Methods
- Numerical Solution of the Navier-Stokes Equations
- Chaos