On the use of sensitivity analysis in model reduction to predict flows for varying inflow conditions

DOI10.1002/fld.2512zbMath1426.76267OpenAlexW2010661806MaRDI QIDQ2893551

Jeff Borggaard, Imran Akhtar, Alexander Hay

Publication date: 21 June 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2512

zbMATH Keywords

Navier-Stokes equationssensitivity analysisproper orthogonal decompositionreduced order modeling

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

Mathematical and numerical results on the sensitivity of the POD approximation relative to the Burgers equation ⋮ Mode decomposition methods for flows in high-contrast porous media. Global-local approach ⋮ Mode decomposition methods for flows in high-contrast porous media. A global approach ⋮ Modified empirical eigenfunctions and its applications for model reduction of nonlinear spatiotemporal systems ⋮ Global-local nonlinear model reduction for flows in heterogeneous porous media ⋮ Reduced-order modelling of parameter-dependent, linear and nonlinear dynamic partial differential equation models ⋮ Local improvements to reduced-order approximations of optimal control problems governed by diffusion-convection-reaction equation ⋮ A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow ⋮ Constrained reduced-order models based on proper orthogonal decomposition ⋮ Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation ⋮ Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems ⋮ Global-local model reduction for heterogeneous Forchheimer flow

Cites Work

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• The Reduced Basis Method for Incompressible Viscous Flow Calculations
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• The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
• Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
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