Series methods for atmospheric interfacial waves

Belward, Shaun, Read, Wayne, and Higgins, Patrick (2005) Series methods for atmospheric interfacial waves. In: ANZIAM2005. p. 22. From: 41st Applied Mathmatics Conference, 30 Januray - 3 February 2005, Hawkes Bay, New Zealand.

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Abstract

Recent developments in series solution methods for flow over topography mean that accurate solutions can be found very quickly. In this paper we use this speed to our advantage. We model the atmosphere as a two layer system with a lower layer of constant density and (in general) a compressible upper layer. The upper layer is assumed stationary. The condition that pressure be continuous across the interface between the layers results in differing forms for the Bernoulli equation depending on how the upper layer is modelled. We present solutions for three different forms of the upper layer. The first is a constant density layer, the second an isothermal upper layer and the last a constant lapse rate upper layer. The speed with which solutions can be found means that an investigation of the parameter space is far less time consuming than it might otherwise be.

Item ID: 27655
Item Type: Conference Item (Abstract / Summary)
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Date Deposited: 05 Jul 2013 05:12
FoR Codes: 01 MATHEMATICAL SCIENCES > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified @ 100%
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