两层及三层流体间内波理论研究进展  

Progress in internal wave theory for two-layer and three-layer fluid systems

作　　者：赵彬彬[1] 张天钰 杜辉 段文洋[1] 王战[1,3] ZHAO Binbin;ZHANG Tianyu;DU Hui;DUAN Wenyang;WANG Zhan(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;College of Meteorology and Oceanography,National University of Defense Technology,Changsha 410005,China;Qingdao Innovation and Development Center of Harbin Engineering University,Harbin Engineering University,Qingdao 266000,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001 [2]国防科技大学气象海洋学院,湖南长沙410005 [3]哈尔滨工程大学青岛哈尔滨工程大学创新发展中心,山东青岛266000

出　　处：《国防科技大学学报》2023年第4期124-135,共12页Journal of National University of Defense Technology

基　　金：国家自然科学基金资助项目(12202114,52261135547);中央高校基本科研业务费专项资金资助项目(3072022FSC0101)。

摘　　要：内波作为一种发生在层化海洋内部的波动,在世界海洋范围内普遍存在。深入研究内波生成、演化等特性,对我国的海洋开发有着重要意义。针对两层及三层流体间内波理论,选取目前国内外广泛应用的KdV (Korteweg-de Vries)内波理论、MCC (Miyata-Choi-Camassa)内波理论、层析内波理论以及DJL (Dubreil-Jacotin-Long)内波理论综述其研究进展。从数学模型、理论研究以及数值模拟等方面,讨论了不同内波理论的优势以及局限性。从数学推导的角度,证明了MCC内波理论与第一级别层析内波理论是一致的。Internal waves,occurring in stratified ocean,are ubiquitous in the world oceans.It is of great significance for our country′s marine development to study the generation and evolution of internal waves.Based on the internal wave theory of two-layer and three-layer fluid systems,the KdV(Korteweg-de Vries)internal wave theory,MCC(Miyata-Choi-Camassa)internal wave theory,HLGN(high-level Green-Naghdi)internal wave theory and Dubreil-Jacotin-Long internal wave theory,which were widely used at home and abroad,were selected to review their research progress.The advantages and limitations of different internal wave theories were discussed from mathematical models,theoretical research and numerical simulations.In the view of mathematical derivation,it is proved that MCC internal wave theory is equivalent to the first-level HLGN internal wave theory.

关 键 词：内波 KdV内波理论 MCC内波理论 层析内波理论 DJL内波理论 两层流体 三层流体 

分 类 号：O352[理学—流体力学]