A model for the unstable manifold of the bursting behaviour in the 2D Navier-Stokes flow

SIAM Journal on Scientific Computing

Volumn 23, Issue 3, 2002, Pages 824-839

  Smaoui, Nejib ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

2D Navier Stokes equations; Neural networks; Proper orthogonal decomposition; Symmetry

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NEURAL NETWORKS; PARTIAL DIFFERENTIAL EQUATIONS;

NAVIER-STOKES FLOW;

COMPUTATIONAL METHODS;

EID: 0036289618     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599355013     Document Type: Article

References (40)

1. On the relations between modelling approaches for speech recognition
2. Neural computation of decisions optimization problems
3. Neural networks in control systems
4. Discrete vs. continuous-time nonlinear signal processing of Cu electrodissolution data
5. Nonlinear signal processing using neural networks: Prediction and system modeling
6. An artificial neural network noise reduction method for chaotic attractors
7. Model identification of a spatiotemporally varying catalytic reaction
8. Nonlinear signal processing and system identification: Applications to time series from electrochemical reactions
9. A new approach combining Karhunen-Loéve analysis and artificial neural network for estimating gas sand permeability
10. Using Karhunen-Loeve decomposition and artificial neural network to model fluid flow in porous media
11. Artificial neural network-based low-dimensional model for spatio-temporally varying cellular flames
12. The structure of inhomogeneous turbulent flows
13. Symmetry and the Karhunen-Loève analysis
14. The dynamics of coherent structures in the wall region of a turbulent boundary layer
15. The proper orthogonal decomposition in the analysis of turbulent flow
16. Reconstructing phase-space from PDE simulations
17. Turbulence and the dynamics of coherent structures. I. Coherent structures
18. Preserving symmetries in the proper orthogonal decomposition
19. Galerkin projections and the proper orthogonal decomposition for equivariant equations
20. A. N. Kolmogorov's seminar on selected problems of analysis (1958-1959)
21. Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid
22. An example of absence of turbulence for any Reynolds number
23. Large-scale dynamics and transition to turbulence in the two-dimensional Kolmogorov flow
24. Metastability and vortex pairing in the Kolmogorov flow
25. An investigation of chaotic Kolmogorov flow
26. Symmetries and dynamics for 2-D Navier-Stokes flow
27. Bifurcation computations on an approximate inertial manifold for the 2-D Navier-Stokes equations
28. On computing the long-time solution of the two-dimensional Navier-Stokes equations
29. Symmetry-breaking homoclinic chaos in the Kolmogorov flows
30. Temporal intermittency and turbulence production in the Kolmogorov flow
31. Symmetry breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows
32. Analyzing bifurcations in the Kolmogorov flow equations
33. Learning internal representations by error propagations
34. Dynamic node creation in backpropagation networks
35. Improving the convergence of backpropagation learning with second order method
36. Fast learning variations on backpropagation: An empirical study