A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow

DOI10.1016/j.cam.2013.11.025zbMath1321.76044OpenAlexW2027732023MaRDI QIDQ2517474

Yanyan Li

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.11.025

zbMATH Keywords

sensitivityNavier-Stokes equationserror estimatesparametric evolutionPOD modes numberROM-POD

Mathematics Subject Classification ID

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)

Related Items (4)

On eigenelements sensitivity for compact self-adjoint operators and applications ⋮ Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM ⋮ A priori space-time separated representation for the reduced order modeling of low Reynolds number flows ⋮ Adaptive sampling and modal expansions in pattern-forming systems

Cites Work

• Unnamed Item
• On the use of POD-based ROMs to analyze bifurcations in some dissipative systems
• Parametric free-form shape design with PDE models and reduced basis method
• 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
• Applying proper orthogonal decomposition to the computation of particle dispersion in a two-dimensional ventilated cavity
• Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
• Computational reduction for parametrized PDEs: strategies and applications
• Certified reduced basis approximation for parametrized partial differential equations and applications
• Elements of the analysis for the study of certain models of turbulence of viscous incompressible fluids.
• On the use of sensitivity analysis in model reduction to predict flows for varying inflow conditions
• Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
• A method for interpolating on manifolds structural dynamics reduced-order models
• Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
• Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
• An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
• Convergence Rates of the POD–Greedy Method
• A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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