A nonlinear Galerkin method for the Navier-Stokes equations
From MaRDI portal
Publication:756551
DOI10.1016/0045-7825(90)90028-KzbMath0722.76039OpenAlexW2091104011MaRDI QIDQ756551
F. Jauberteau, Roger M. Temam, Carole Rosier
Publication date: 1990
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(90)90028-k
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (24)
Finite-dimensional behavior in dissipative partial differential equations ⋮ Implementation of finite element nonlinear Galerkin methods using hierarchical bases ⋮ Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization ⋮ The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows ⋮ A Karhunen-Loève based Galerkin approximation to Boussinesq equation ⋮ Subgrid modelling and the interaction of small and large wavelength in turbulent flows ⋮ Stability Analysis of the Nonlinear Galerkin Method ⋮ On the Rate of Convergence of the Nonlinear Galerkin Methods ⋮ Approximate inertial manifolds of Burgers equation approached by nonlinear Galerkin's procedure and its application ⋮ Nonlinear Galerkin method and subgrid-scale model for two-dimensional turbulent flows ⋮ Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions ⋮ A nonlinear Galerkin method for the shallow-water equations on periodic domains ⋮ Model reduction on inertial manifolds for N-S equations approached by multilevel finite element method ⋮ Inertial manifolds, partially space-averaged equations, and the separation of scales in turbulent flows* ⋮ Approximate inertial manifolds and effective viscosity in turbulent flows ⋮ Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations ⋮ Incremental unknowns, multilevel methods and the numerical simulation of turbulence ⋮ Fourier collocation splittings for partial differential equations ⋮ \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 ⋮ An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations ⋮ A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin–Voigt fluids ⋮ Stabilized finite element approximation of transient incompressible flows using orthogonal subscales ⋮ Computational efficiency and approximate inertial manifolds for a Bénard convection system
Cites Work
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- On the dimension of the attractors in two-dimensional turbulence
- Inertial Manifolds and Multigrid Methods
- Attractors of partial differential evolution equations and estimates of their dimension
- Determining modes and fractal dimension of turbulent flows
- Modelling of the interaction of small and large eddies in two dimensional turbulent flows
- Induced trajectories and approximate inertial manifolds
- Nonlinear Galerkin Methods
This page was built for publication: A nonlinear Galerkin method for the Navier-Stokes equations