Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems
From MaRDI portal
Publication:5161990
DOI10.4208/cicp.OA-2018-0207zbMath1473.78016arXiv1808.05175MaRDI QIDQ5161990
M. J. Bluck, Giovanni Stabile, Gianluigi Rozza, Sokratia Georgaka
Publication date: 1 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05175
Navier-Stokes equationsproper orthogonal decompositionfinite volume approximationPoisson equation for pressureinf-sup approximationsupremizer velocity space enrichment
PDEs in connection with fluid mechanics (35Q35) Model reduction in optics and electromagnetic theory (78M34) Numerical analysis (educational aspects) (97N40)
Related Items
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 ⋮ Machine learning and reduced order computation of a friction stir welding model ⋮ A hybrid reduced order method for modelling turbulent heat transfer problems ⋮ Bayesian identification of a projection-based reduced order model for computational fluid dynamics ⋮ A two-stage deep learning architecture for model reduction of parametric time-dependent problems ⋮ A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems ⋮ A continuous convolutional trainable filter for modelling unstructured data ⋮ A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems ⋮ Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability ⋮ Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation
Uses Software
Cites Work
- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Numerical simulation based on POD for two-dimensional solute transport problems
- Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
- Adaptive mesh refinement for hyperbolic partial differential equations
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Robust reduced order modeling of heat transfer in a back step 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
- A discourse on the stability conditions for mixed finite element formulations
- 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
- Element residual error estimate for the finite volume method
- 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
- Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization
- Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods
- Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
- A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
- A hybrid reduced order method for modelling turbulent heat transfer problems
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- 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
- A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- 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 reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- 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
- Stabilization of projection‐based reduced‐order models
- Mixed Finite Element Methods and Applications
- An efficient goal‐oriented sampling strategy using reduced basis method for parametrized elastodynamic problems
- Convergence Rates of the POD–Greedy Method
- Reduced-order modeling for unsteady transonic flows around an airfoil
- Anhpcertified reduced basis method for parametrized parabolic partial differential equations
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- Reduced Basis Methods for Partial Differential Equations
