Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems

DOI10.1016/j.jcp.2019.02.051zbMath1452.76094OpenAlexW2921529831WikidataQ128258533 ScholiaQ128258533MaRDI QIDQ2220570

Shengfeng Zhu, Richen Li, Qing-Biao Wu

Publication date: 25 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.02.051

zbMATH Keywords

stabilizationproper orthogonal decompositionisogeometric analysisconvection-diffusion-reactionreduced order modellingstreamline-upwind Petrov-Galerkin stabilization method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Diffusion (76R50) Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations ⋮ Space-time methods based on isogeometric analysis for time-fractional Schrödinger equation ⋮ Artificial neural network-augmented stabilized finite element method ⋮ Isogeometric analysis for time-fractional partial differential equations ⋮ New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data ⋮ Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics ⋮ Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis.

Uses Software

• GeoPDEs
• redbKIT

Cites Work

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