A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems
From MaRDI portal
Publication:5163915
DOI10.4208/cicp.OA-2020-0059zbMath1473.65144arXiv1912.00825MaRDI QIDQ5163915
Gianluigi Rozza, Joris Degroote, Giovanni Stabile, Francesco Belloni, S. Kelbij Star
Publication date: 9 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00825
Navier-Stokes equationsproper orthogonal decompositioniterative methodpenalty methodGalerkin projectionlifting function method
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items
A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation, Pressure data-driven variational multiscale reduced order models, Stability and Convergence of Stabilized Finite Volume Iterative Methods for Steady Incompressible MHD Flows with Different Viscosities, Hybrid data-driven closure strategies for reduced order modeling
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical investigation of velocity-pressure reduced order models for incompressible flows
- Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
- Reduced order methods for modeling and computational reduction
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Stable and accurate pressure approximation for unsteady incompressible viscous flow
- Enablers for robust POD models
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- Solution of the implicitly discretized fluid flow equations by operator- splitting
- Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
- Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition
- Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
- POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Stability and accuracy of periodic flow solutions obtained by a POD-penalty method
- Fast divergence-conforming reduced basis methods for steady Navier-Stokes flow
- POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver
- POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations
- The finite volume method in computational fluid dynamics. An advanced introduction with OpenFOAM and Matlab
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Efficient non-linear proper orthogonal decomposition/Galerkin reduced order models with stable penalty enforcement of boundary conditions
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- Ritz–Galerkin Approximation of the Time Optimal Boundary Control Problem for Parabolic Systems with Dirichlet Boundary Conditions
- EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD
- Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
- A note on the optimum choice for penalty parameters
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- The Finite Element Method with Penalty
- Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results
- Optimal control of vortex shedding using low-order models. Part I?open-loop model development
- A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
- Analysis of an iterative penalty method for Navier–Stokes equations with nonlinear slip boundary conditions
- Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
- Error Analysis of Supremizer Pressure Recovery for POD based Reduced-Order Models of the Time-Dependent Navier--Stokes Equations
- 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 Distributed Control Approach for the Boundary Optimal Control of the Steady MHD Equations
- Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods
- A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
- Reduced Basis Methods for Partial Differential Equations
