Numerical simulation of three-dimensional lee waves behind an isolated hill |
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| Institution: | 1. Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo Náměstí 13, Prague 2 121 35, Czech Republic;2. Institute of Mathematics, Czech Academy of Sciences, ?itná 25, Prague 1 115 67, Czech Republic;3. Mediterranean Institute of Oceanography, UM 110 USTV – AMU – CNRS/INSU 7294 – IRD 235, Université de Toulon, BP 20132, La Garde Cedex 83957, France;1. School of Materials Engineering, Jiangsu University of Technology, Changzhou, Jiangsu Province 213001, China;2. Mechatronic Institute, Zhejiang Sci-Tech University, Hangzhou, Zhejiang Province 310018, China;3. School of Information, Zhejiang Sci-Tech University, Hangzhou, Zhejiang Province 310018, China;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China |
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| Abstract: | Stably stratified fluid flow over smooth hills is an important process in environmental fluid mechanics. The aim of this article is to point out some of the key features of this phenomenon from both the physical and the mathematical modeling point of view. Three-dimensional laminar flow over a smooth, axisymmetric hill is considered for a range of values of the Froude number and the Reynolds number. The numerical simulations are performed on the basis of the Boussinesq approximation model, solved with a high-resolution compact finite-difference numerical scheme. The numerical results obtained are discussed with respect to the observed physical phenomena, taking into account the separate role of varying the velocity (Reynolds number) and stratification (Froude number). The mathematical modeling and numerical solvability issues encountered are discussed in detail, pointing out the key role of the computational setup and boundary conditions. |
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