Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes

DOI10.1016/j.cnsns.2014.07.030zbMath1329.65223OpenAlexW2046621844MaRDI QIDQ907660

Peng-Fei Lei, Wei Kang, Sheng Ren, Jia-Zhong Zhang

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.07.030

zbMATH Keywords

dimension reductionproper orthogonal decompositiondynamical systemapproximate inertial manifolds

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Solitary waves in boundary layer induced by a travelling wave with increasing amplitude ⋮ Modified empirical eigenfunctions and its applications for model reduction of nonlinear spatiotemporal systems ⋮ Unnamed Item ⋮ \textit{A priori} analysis of reduced description of dynamical systems using approximate inertial manifolds ⋮ Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis

Cites Work

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