Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results

DOI10.1007/978-3-319-58786-8_15zbMath1457.76096OpenAlexW2752372596MaRDI QIDQ4637162

Lorenzo Sala, Cristina Maria Cova, Davide Baroli, Alessandro Veneziani, Simona Perotto

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_15

zbMATH Keywords

Navier-Stokes equationsproper orthogonal decompositionmultiparameter advection-diffusion-reaction problem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Related Items (7)

Reduced order modelling for turbomachinery shape design ⋮ Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems ⋮ Hierarchical model reduction driven by machine learning for parametric advection-diffusion-reaction problems in the presence of noisy data ⋮ Adaptive POD model reduction for solute transport in heterogeneous porous media ⋮ Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains ⋮ Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction ⋮ Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting

Uses Software

• ALADINS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coupled model and grid adaptivity in hierarchical reduction of elliptic problems
• Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
• Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
• Factorization methods for the numerical approximation of Navier-Stokes equations
• Higamod: a hierarchical isogeometric approach for model reduction in curved pipes
• HiMod reduction of advection-diffusion-reaction problems with general boundary conditions
• Algebraic splitting methods for the steady incompressible Navier-Stokes equations at moderate Reynolds numbers
• ALADINS: an ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations
• Hierarchical Model Reduction: Three Different Approaches
• Finite Elements and Fast Iterative Solvers
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
• Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains
• Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems
• Perspectives in Flow Control and Optimization

This page was built for publication: Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results