We study if the multilevel algorithm introduced in Debussche et al. (Theor. Comput. Fluid Dynam., 7, 279±315 (1995)) and Dubois et al. (J. Sci. Comp., 8, 167±194 (1993)) for the 2D Navier±Stokes equations with periodic boundary conditions and spectral discretization can be generalized to more genera
A DOUBLE TIME—SCALE CNN FOR SOLVING TWO-DIMENSIONAL NAVIER—STOKES EQUATIONS
✍ Scribed by KOZEK, T.; ROSKA, T.
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 423 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0098-9886
No coin nor oath required. For personal study only.
✦ Synopsis
A practical cellular neural network (CNN) approximation to the Navier-Stokes equation describing the viscous flow of incompressible fluids is presented. The implementation of the CNN templates based on a finite-difference discretization scheme, including the double-timescale CNN dynamics and the treatment of various types of boundary conditions are explained. The operation of the continuous-time model is demonstrated through several examples.
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