Series methods for atmospheric interfacial waves
Conference Contribution ResearchOnline@JCUAbstract
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.
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41st Applied Mathmatics Conference
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1
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Hawkes Bay, New Zealand
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Australian Mathmatical Society
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