Full and reduced order model consistency of the nonlinearity discretization in incompressible flows
From MaRDI portal
Publication:2096852
DOI10.1016/j.cma.2022.115620OpenAlexW3212742333MaRDI QIDQ2096852
Leo G. Rebholz, Sean Ingimarson, Traian Iliescu
Publication date: 11 November 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06749
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers ⋮ On the influence of the nonlinear term in the numerical approximation of incompressible flows by means of proper orthogonal decomposition methods
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- A numerical investigation of velocity-pressure reduced order models for incompressible flows
- Stabilized reduced basis method for parametrized advection-diffusion PDEs
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Stable Galerkin reduced-order models for linearized compressible flow
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- A zonal Galerkin-free POD model for incompressible flows
- Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
- Energy balance and mass conservation in reduced-order models of fluid flows
- SUPG reduced order models for convection-dominated convection-diffusion-reaction equations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Data-driven variational multiscale reduced order models
- Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
- Calibration of projection-based reduced-order models for unsteady compressible flows
- Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods
- Entropy stable reduced order modeling of nonlinear conservation laws
- On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
- A POD-Galerkin reduced order model for a LES filtering approach
- On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem
- Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations
- Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws
- Data-driven operator inference for nonintrusive projection-based model reduction
- On conservation laws of Navier-Stokes Galerkin discretizations
- On the stability of the $L^2$ projection in $H^1(\Omega)$
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- On a Certified Smagorinsky Reduced Basis Turbulence Model
- Physics constrained nonlinear regression models for time series
- Structure preserving model order reduction of shallow water equations
- On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
- Constrained sparse Galerkin regression
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs
- Galerkin proper orthogonal decomposition methods for parabolic problems
- Consistency of the full and reduced order models for evolve‐filter‐relax regularization of convection‐dominated, marginally‐resolved flows