Numerical study on evolution of an internal solitary wave across an idealized shelf with different front slopes |
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| Institution: | 1. Department of Maritime Information and Technology, National Kaohsiung Marine University, Kaohsiung 80543, Taiwan, ROC;2. Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan, ROC;3. Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan, ROC;4. Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, ROC;5. School of Civil, Environmental and Mining Engineering, University of Western Australia, Crawley, WA 6009, Australia;1. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;2. Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Earth and Atmospheric Sciences, University of Houston, Houston, TX 77204, USA;2. Hydrate Energy International, 612 Petit Berdot Drive, Kenner, LA 70065, USA;1. Tianjin Chengjian University, Tianjin Key Laboratory of Structure Protection and Reinforcement, Tianjin 300384, China;2. Department of Civil Engineering, Tianjin University, Tianjin 300072, China;3. Centre for Built Infrastructure Research, University of Technology Sydney, NSW, Australia;1. Department of Mathematics, University of Colorado, Colorado Springs, CO 80918, USA;2. Department of Mathematics, Ohio State University, Columbus, OH 43210, USA |
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| Abstract: | Numerical simulations are performed to investigate the influence of variable front slopes on flow evolution and waveform inversion of a depression ISW (internal solitary wave) over an idealized shelf with variable front slopes. A finite volume based on Cartesian grid method is adopted to solve the Reynolds averaged Navier-Stokes equations using a k-ε model for the turbulent closure. Numerical results exhibit the variations of several pertinent properties of the flow field, in the case with or without waveform inversion on the horizontal plateau of an obstacle. The clockwise vortex is stronger than the counterclockwise one, almost throughout the wave-obstacle interaction. Analysis of the turbulent energy budget reveals that the turbulent production term in the governing equations dominates the wave evolution during a wave-obstacle interaction; otherwise the buoyancy production term and the dissipation term due to viscosity within turbulent eddies play a major role in energy dissipation. In addition, the front slope affects mainly the process and reflection of the wave evolution but has less influence than other physical parameters. Moreover, total wave energy of the leading crest is smaller than that of the leading trough even in the cases with waveform inversion on the plateau. |
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| Keywords: | Internal solitary wave RANS equation Flow field Vortices Turbulent kinetic budget |
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