Perturbations from a source in a two-layer atmosphere bounded by the horizontal terrestrial surface |
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| Institution: | 1. Institution of Engineering and Technology, Stevenage, England;2. Member of British Computer Society, London;3. Institute of Electrical and Electronics Engineers, London;1. Department of Mechanical Engineering, Yeungnam University, Kyungsan, South Korea;2. Korea Institute of Energy Research, Daejeon, South Korea;1. College of Environmental and Resource Sciences, Zhejiang University, Hangzhou, 310058, China;2. Physical Science Division, Pacific Northwest National Laboratory, Richland, WA, 99352, USA |
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| Abstract: | The problem of internal waves excited by a point source in a two-layer atmosphere is investigated in a linear formulation. The lower layer is bounded by a horizontal surface and, the upper layer is unbounded. It is assumed that the vertical displacements and velocities of the particles vary continuously at the layer boundaries, and that the Brunt Väisälä frequency is constant in each layer but experiences discontinuities at the common boundary of the layers; the source is situated in the lower layer. The asymptotic behaviour of the perturbations in the lower layer at long times is investigated. The solution is found using integral transforms and is expressed in terms of double integrals of many-valued analytic functions. A transformation is proposed which enables the solution to be expressed as the sum of single integrals. The behaviour of these integrals at long times is found by the stationary-phase method. It is shown that a critical cone exists across which the asymptotic behaviour of the system undergoes a change. |
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