Spectral multigrid and collocation methods for barotropic nondivergent flow over irregular coastal topography
作者:
Dave Broutman,
Roger Grimshaw,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1990)
卷期:
Volume 52,
issue 1-3
页码: 1-23
ISSN:0309-1929
年代: 1990
DOI:10.1080/03091929008219837
出版商: Taylor & Francis Group
关键词: Barotropic flow;coastal topography.
数据来源: Taylor
摘要:
We describe the high-resolution spectral modelling of nondivergent barotropic linearized flow over steep irregular topography. We use collocation to evaluate spatial derivatives in the barotropic vorticity equation, and a spectral multigrid technique to accelerate the iterative solution of the vorticity—stream function relation. The computational domain is a rectangular channel, which can be conformally mapped into more interesting shapes, as we also discuss. A Fourier-series representation is used in the (periodic) direction parallel to the walls of the channel, and a sine series in the cross-channel direction. For much of the paper we concentrate on the numerical techniques, though results are provided, including an application to the Bass Strait region of southeast Australia.
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