Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics
Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows
β Scribed by Yuxi Zheng
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 560 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0010-3616
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describes an ocean in hydrostatic and geostrophic balance with water of constant density, bounded by rigid upper A spectral numerical scheme is developed for simulations of twodimensional incompressible fluid flow in a circular basin. The vorticand lower boundaries. It can be shown [9] that this sys
The equation that is central to this study and which will be discretized spectrally describes the horizontal advection In the accompanying paper (Part I; W. T. M. Verkley, 1997, J. Comput. Phys. 100-114 136) a spectral numerical scheme is devel-of the absolute vorticity q by a nondivergent velocit