Stabilized principal interval decomposition method for model reduction of nonlinear convective systems with moving shocks
From MaRDI portal
Publication:1715737
DOI10.1007/s40314-018-0718-zzbMath1413.37055OpenAlexW2892740672WikidataQ129166556 ScholiaQ129166556MaRDI QIDQ1715737
Publication date: 29 January 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0718-z
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)
Related Items (8)
Numerical Assessment of a Nonintrusive Surrogate Model Based on Recurrent Neural Networks and Proper Orthogonal Decomposition: Rayleigh–Bénard Convection ⋮ Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution ⋮ Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers ⋮ An artificial neural network framework for reduced order modeling of transient flows ⋮ Reduced order modelling of nonlinear cross-diffusion systems ⋮ Data-driven variational multiscale reduced order models ⋮ A POD-based ROM strategy for the prediction in time of advection-dominated problems ⋮ Verifiability of the data-driven variational multiscale reduced order model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximate partitioned method of snapshots for POD
- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Reduced-order modelling for flow control. Papers based on the presentations at the course, Udine, Italy, September 2008
- Artificial viscosity proper orthogonal decomposition
- Two-level discretizations of nonlinear closure models for proper orthogonal decomposition
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Goal-oriented, model-constrained optimization for reduction of large-scale systems
- A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
- Stable Galerkin reduced-order models for linearized compressible flow
- A spectral viscosity method for correcting the long-term behavior of POD models.
- Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
- Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems
- A goal-oriented reduced-order modeling approach for nonlinear systems
- Learning-based robust stabilization for reduced-order models of 2D and 3D Boussinesq equations
- Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation
- Approximate deconvolution reduced order modeling
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Using functional gains for effective sensor location in flow control: a reduced-order modelling approach
- Generalized Reduced Basis Methods and n-Width Estimates for the Approximation of the Solution Manifold of Parametric PDEs
- A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems
- Model Reduction for Flow Analysis and Control
- Viscous Instanton for Burgers' Turbulence
- Numerical methods for low‐order modeling of fluid flows based on POD
- Calibration of POD reduced‐order models using Tikhonov regularization
- Optimal large-eddy simulation of forced Burgers equation
- Optimal snapshot location for computing POD basis functions
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- 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
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Stabilization of projection‐based reduced‐order models
- NEW REGULARIZATION METHOD FOR CALIBRATED POD REDUCED-ORDER MODELS
- Analysis of low-pass filters for approximate deconvolution closure modelling in one-dimensional decaying Burgers turbulence
- Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
- MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
This page was built for publication: Stabilized principal interval decomposition method for model reduction of nonlinear convective systems with moving shocks
