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Acoustic gravity waves: a computational approach |
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| Affiliation: | 1. Department of Mathematics and Statistics, Memorial University, St. John''s, NL A1C 5S7, Canada;2. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, Hebei, China;1. Environment and Climate Change Canada, Recherche en Prévison Numérique, 2121 Trans-Canada Highway, Dorval, Que., H9P IJ3, Canada;2. Met Éireann, 65/67 Glasnevin Hill, Dublin 9, D09 Y921, Ireland;1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China;2. College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China;3. Shandong Energy Xinwen Group Xinjulong CO. LTD, Shandong, 294718, China |
| Abstract: | This paper discusses numerical solutions of a hyperbolic initial boundary value problem that arises from acoustic wave propagation in the atmosphere. Field equations are derived from the atmospheric fluid flow governed by the Euler equations. The resulting original problem is nonlinear. A first-order linearized version of the problem is used for computational purposes. The main difficulty in the problem as with any open boundary problem is in obtaining stable boundary conditions. Approximate boundary conditions are derived and shown to be stable. Numerical results are presented to verify the effectiveness of these boundary conditions. |
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