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A semi-implicit method for vertical transport in multidimensional models

✍ Scribed by Edward S. Gross; Vincenzo Casulli; Luca Bonaventura; Jeffrey R. Koseff

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 440 KB
Volume: 28
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19980715)28:1<157::aid-fld144>3.0.co;2-u

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✦ Synopsis

A one-dimensional scalar transport method which is appropriate for simulations over a wide range of Courant number is described. Von Neumann stability and matrix invertibility are guaranteed for all Courant numbers and the method has less diffusive and dispersive error than simpler implicit methods. It is implemented for vertical scalar transport in a three-dimensional hydrodynamic model, with horizontal transport discretized explicitly. The method is applied and compared with simpler semi-implicit methods in several test cases and used for a simulation of scalar transport in an estuary.

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