POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder

DOI10.1515/caim-2017-0011zbMath1383.35175arXiv1701.03424OpenAlexW2778400616MaRDI QIDQ1696929

Stefano Lorenzi, Giovanni Stabile, Andrea Mola, Gianluigi Rozza, Saddam Hijazi

Publication date: 15 February 2018

Published in: Communications in Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03424

zbMATH Keywords

vortex sheddingfinite volumesCFDPOD-GalerkinROM

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscous vortex flows (76D17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical analysis (educational aspects) (97N40)

Related Items

Impact of POD modes energy redistribution on flow reconstruction for unsteady flows of impulsively started airfoils and wings ⋮ 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 POD-Galerkin reduced order model for a LES filtering approach ⋮ The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations ⋮ A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems ⋮ A hybrid reduced order method for modelling turbulent heat transfer problems ⋮ Bayesian identification of a projection-based reduced order model for computational fluid dynamics ⋮ Operator inference and physics-informed learning of low-dimensional models for incompressible flows ⋮ `On-the-fly' snapshots selection for proper orthogonal decomposition with application to nonlinear dynamics ⋮ Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds ⋮ Pressure data-driven variational multiscale reduced order models ⋮ 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 ⋮ Error Analysis of Supremizer Pressure Recovery for POD based Reduced-Order Models of the Time-Dependent Navier--Stokes Equations ⋮ Hybrid data-driven closure strategies for reduced order modeling ⋮ Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs ⋮ Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains ⋮ Non-intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives ⋮ A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow ⋮ Quantifying Truncation-Related Uncertainties in Unsteady Fluid Dynamics Reduced Order Models ⋮ On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis ⋮ Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems ⋮ Error estimate of the non-intrusive reduced basis method with finite volume schemes ⋮ A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems ⋮ A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization ⋮ POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver ⋮ A staggered high-dimensional proper generalised decomposition for coupled magneto-mechanical problems with application to MRI scanners ⋮ A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations ⋮ A reduced order variational multiscale approach for turbulent flows ⋮ Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation ⋮ Adaptive reduced basis method for the reconstruction of unsteady vortex-dominated flows ⋮ 13 MOR software ⋮ Data-driven POD-Galerkin reduced order model for turbulent flows ⋮ Real-time estimation and prediction of unsteady flows using reduced-order models coupled with few measurements

Uses Software

• redbKIT

Cites Work

• 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 basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
• 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
• Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• 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
• 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
• 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
• POD and CVT-based reduced-order modeling of Navier-Stokes flows
• A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
• On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
• Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
• Optimal control of vortex shedding using low-order models. Part I?open-loop model development
• A low-dimensional model for simulating three-dimensional cylinder flow
• The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• A low-dimensional Galerkin method for the three-dimensional flow around a circular cylinder
• Reduced Basis Methods for Partial Differential Equations
• Reduced basis methods for Stokes equations in domains with non-affine parameter dependence