Model reduction on inertial manifolds for N-S equations approached by multilevel finite element method

DOI10.1016/j.cnsns.2010.02.023zbMath1221.76122OpenAlexW2056557478MaRDI QIDQ718307

Sheng Ren, Guanhua Mei, Jia-Zhong Zhang

Publication date: 23 September 2011

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.2010.02.023

zbMATH Keywords

nonlinear dynamicsmodel reductionfluid dynamicsmultilevel finite element methodapproximate inertial manifolds

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Finite element methods applied to problems in fluid mechanics (76M10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (8)

Dynamics and control of the 2-d Navier-Stokes equations ⋮ Symmetries, dynamics, and control for the 2D Kolmogorov flow ⋮ Dynamics and control of the seven-mode truncation system of the 2-d Navier-Stokes equations ⋮ Optimal combination of spatial basis functions for the model reduction of nonlinear distributed parameter systems ⋮ Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes ⋮ Approximate inertial manifolds of Burgers equation approached by nonlinear Galerkin's procedure and its application ⋮ Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis ⋮ Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations

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