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Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves
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| File | Description | Size | Format | |
|---|---|---|---|---|
| ClancyLynch1.pdf | 168.58 kB | Adobe PDF | Download |
| Title: | Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves | Authors: | Clancy, Colm Lynch, Peter |
Permanent link: | http://hdl.handle.net/10197/2870 | Date: | Apr-2011 | Abstract: | A filtering integration scheme is developed, using a modification of the contour used to invert the Laplace transform (LT). It is shown to eliminate components with frequencies higher than a specified cut-off value. Thus it is valuable for integrations of the equations governing atmospheric flow. The scheme is implemented in a shallow water model with an Eulerian treatment of advection. It is compared to a reference model using the semi-implicit (SI) scheme. The LT scheme is shown to treat dynamically important Kelvin waves more accurately than the SI scheme. | Funding Details: | Irish Research Council for Science, Engineering and Technology | Type of material: | Journal Article | Publisher: | Wiley | Copyright (published version): | 2011, Royal Meteorological Society | Keywords: | Numerical weather prediction;Time integration;Filtering | Subject LCSH: | Numerical weather forecasting Laplace transformation Filters (Mathematics) |
DOI: | 10.1002/qj.793 | Language: | en | Status of Item: | Peer reviewed |
| Appears in Collections: | Mathematics and Statistics Research Collection |
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