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Reflection and Transmission of the Level Step to the Waves in a Linear and Continuous Layer Liquid
作者姓名:TAN  Xiao-ning  LI  Qiang
作者单位:[1]School of Sciences, China University of Mining & Technology, Xuzhou, Jiangsu 221008, China [2]Department of Engineering Mechanics, China University of Petroleum, Dongying, Shandong 257061, China
摘    要:1 Introduction Owing to the hot radiation of the sun, the den- sity distribution of water is usually perpendicular in actual oceans and river bayoux. The source of the disturbance will not only produce water waves of a surface mode, but also of an internal mode1–2]. In layered liquids the internal mode will induce some dynamic water phenomena which are different from those in the single layer liquid3]. Considering the propagation of waves in deep upheaval terrain, the problem can be simplif…

关 键 词:水波  数值模拟  流体力学  浮力
收稿时间:2006-07-06
修稿时间:2006-12-12

Reflection and Transmission of the Level Step to the Waves in a Linear and Continuous Layer Liquid
TAN Xiao-ning LI Qiang.Reflection and Transmission of the Level Step to the Waves in a Linear and Continuous Layer Liquid[J].Journal of China University of Mining and Technology,2006,16(4):448-451.
Authors:TAN Xiao-ning  LI Qiang
Affiliation:1. School of Sciences, China University of Mining & Technology, Xuzhou, Jiangsu 221008, China;2. Department of Engineering Mechanics, China University of Petroleum, Dongying, Shandong 257061, China;1. CEA, Institute for Research on Fusion by Magnetic confinement, 13108, Saint-Paul-Lez-Durance, France;2. Aix Marseille Univ, CNRS, IUSTI, Marseille, France;3. CEA, LIST, F-91191, Gif-sur-Yvette, France;1. Department of Civil and Environmental Engineering, Norwegian University of Science and Technology, Høgskoleringen 7A, 7491 Trondheim, Norway;2. Department of Marine Technology, Centre for Autonomous Marine Operations and Systems, Norwegian University of Science and Technology, Otto Nielsens veg 10, 7491 Trondheim, Norway;1. College of Field Engineering, Army Engineering University of PLA, Nanjing 210007, China;2. China Ship Scientific Research Center, Wuxi 214082, China;1. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Legnaro, I-35020 Legnaro, Italy;2. Faculty of Physics, Warsaw University of Technology, 00-662 Warszawa, Poland;3. Heavy Ion Laboratory, University of Warsaw, 02-093 Warszawa, Poland;4. Instituto de Física Corpuscular, CSIC-Universitat de València, E-46980 Valencia, Spain;5. Department of Electronic Engineering, Universitat de València, E-46100 Burjassot, Spain;6. Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany;7. RIKEN Nishina Center, 2-1 Hirosawa, Wako-shi, 351-0198 Saitama, Japan;8. GANIL, CEA/DSAM and CNRS/IN2P3, F-14076 Caen, France;9. Faculty of Engineering and Natural Sciences, Istanbul Sabahattin Zaim University, 34303 Istanbul, Turkey;10. Nigde Universitesi, Fen-Edebiyat Falkültesi, Fizik Bölümü, 51240 Nigde, Turkey;11. National Centre for Nuclear Research, 05-400 Otwock-?wierk, Poland;12. Department of Physics and Astronomy, Uppsala University, SE-75120 Uppsala, Sweden;13. Department of Physics, University of York, Heslington, YO1 5DD York, United Kingdom;1. Department of Engineering Technology, University of North Carolina at Charlotte Charlotte, NC 28223, United States;2. Department of Mechanical Engineering, Vanderbilt University Nashville, TN 37235, United States;3. Industrial Measurement Systems, Incorporated, 2760 Beverly Drive, Suite 4, Aurora, IL 60502, United States
Abstract:The reflection and transmission of the level step to the water waves in the linear and continuous layer liquid were studied in this paper. Based on the matching method of the eigenfunction and a Boussinesq approximation, the analytical expression of the diffraction was obtained and the computing methods of the reflection and transmission energy of the level step were proposed. For the incident wave with a frequency greater than that of the flotage, there is only one mode of plane traveling wave in the flow field. In the range of this greater frequency, the linear and continuous delamination effect will affect the reflection and transmission energy of the floating rectangular box. When the frequency of the incident wave is less than the flotage frequency, the energy of the plane traveling wave with infinite modes in the flow field will change into the energy of different modes for each incident wave of different modes.
Keywords:continuous linear flow  level step  internal wave modes  reflection energy  transmission energy
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