非线性海洋内波的理论、模型与计算
THEORY, MODELLING AND COMPUTATION OF NONLINEAR OCEAN INTERNAL WAVES
查看参考文献106篇
|
文摘
|
海水因盐度与温度的垂向差异造成密度层结现象,进而由于海洋系统的内部扰动(如海潮流过局部隆起的海底地形)与外部扰动(如死水现象)造成等密面的波动,这一现象称为 “内波”.内波在全球范围内大量存在,尤其是在海峡入海口等密度层结现象较为明显和稳定的区域会有内波频繁活动.海洋通常呈现 “三明治”状的结构:密度相对稳定的混合层与深水层,以及位于中间密度连续过渡的密跃层.密跃层的整体脉动对于海洋工程和海洋生态环境有重大的影响;而密跃层内部的波动对于潜艇的非声探测(反过来说,对于潜艇的隐身作战)具有潜在的应用价值.而造成这些重大影响的根源在于内波在水平和垂直方向都具备传播能力,这是有别于海洋表面波浪的关键之处.本文针对两类海洋密度模型–连续分层模型与间断分层模型,从理论研究、数值模拟、实验室机理实验等方面论述了研究海洋内波的各类非线性模型(包括弱非线性的Korteweg-de Vries方程、Benjamin-Ono方程, Kadomtsev-Petviashvili方程等著名模型以及强非线性Miyata-Choi-Camassa方程、非线性势流理论、带密度变化的不可压缩Navier-Stokes方程等),讨论各自的适用范围,并借此探讨内波在海洋质量动量能量输运中所起的至关重要的作用. |
|
其他语种文摘
|
Salinity and temperature variations in the vertical direction lead to density stratification in oceans, and the fluctuation of isopycnal surfaces resulting from internal perturbations (such as stratified shear flow over a bottom topography) or external disturbances (such as the dead water phenomenon) is called the internal wave. Internal waves are ubiquitous in the ocean and usually arise in the situation when the density stratification is obvious and stable such as at the mouth of strait. Oceans are usually characterized by a sandwich-like structure: a mixing layer and a deep-water layer featuring an almost uniform density, and a transition layer in the middle with continuous density variation. Fluctuations of the transition layer have great impact on ocean engineering and ocean ecology, while waves inside the transition layer has potential applications in the non-acoustic detection of submarines (conversely, in the stealth operation of submarines). The main reason for these important influences lies in the ability of internal waves to propagate in both horizontal and vertical directions, which is the essential difference from that of ocean surface waves. In the current paper, two types of ocean density models, continuously stratified models and discontinuous layered models, are thoroughly discussed. Various nonlinear models used to study ocean internal waves (including celebrated weakly nonlinear models, such as the Korteweg-de Vries equation, the Benjamin-Ono equation, and the Kadomtsev-Petviashvili equation, and strongly nonlinear models, such as the Miyata-Choi-Camassa equation, the fully nonlinear potential theory, and the incompressible Navier-Stokes equation with density variations), as well as their respective scope of application, are reviewed from the aspects of theoretical analyses, numerical simulations, and laboratory experiments. Particular attention is paid to the important role of internal waves in transferring mass, momentum and energy in oceans. |
|
来源
|
力学学报
,2019,51(6):1589-1604 【核心库】
|
|
DOI
|
10.6052/0459-1879-19-326
|
|
关键词
|
海洋内波
;
间断分层模型
;
连续分层模型
;
非线性波
;
边界积分法
;
Boussinesq方程
;
高阶算法
|
|
地址
|
1.
中国科学院力学研究所, 北京, 100190
2.
中国科学院大学工程科学学院, 北京, 100049
3.
浙江大学数学科学学院, 杭州, 310027
|
|
语种
|
中文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
0459-1879 |
|
学科
|
力学 |
|
基金
|
国家自然科学基金资助项目
|
|
文献收藏号
|
CSCD:6631800
|
参考文献 共
106
共6页
|
|
1.
Mercier M J. Resurrecting dead-water phenomenon.
Nonlinear Processes in Geophysics,2011,18:193-208
|
CSCD被引
5
次
|
|
|
|
|
2.
Perry R B. Large-amplitude internal waves observed offthe northwest coast of Sumatra.
Journal of Geophysical Research,1965,70(10):2319-2324
|
CSCD被引
13
次
|
|
|
|
|
3.
Osborne A R. Internal solitons in the Andaman Sea.
Science,1980,208(4443):451-460
|
CSCD被引
97
次
|
|
|
|
|
4.
Duda T F. Internal tide and nonlinear internal wave behavior at the continental slope in the northern South China Sea.
IEEE Journal of Oceanic Engineering,2005,29(4):1105-1130
|
CSCD被引
79
次
|
|
|
|
|
5.
种劲松. 合成孔径雷达图像海洋内波探测硏究综述.
雷达学报,2013,2(4):406-421
|
CSCD被引
4
次
|
|
|
|
|
6.
Caponi E A. Modulation of radar backscatter from the ocean by a variable surface current.
Journal of Geophysical Research Oceans,1988,93(C10):12249-12263
|
CSCD被引
2
次
|
|
|
|
|
7.
Alpers W. Theory of radar imaging of internal waves.
Nature,1985,314(6008):245-247
|
CSCD被引
53
次
|
|
|
|
|
8.
Jackson C. Internal wave detection using the moderate resolution imaging spectroradiometer (modis).
Journal of Geophysical Research: Oceans,2007,112:C11012
|
CSCD被引
46
次
|
|
|
|
|
9.
李家春. 水面下的波浪-海洋内波.
力学与实践,2005,27(2):3-8
|
CSCD被引
1
次
|
|
|
|
|
10.
蔡树群. 近10年来南海孤立内波的研究进展.
地球科学进展,2011,26(7):703-710
|
CSCD被引
36
次
|
|
|
|
|
11.
蔡树群. 南海北部孤立子内波的研究进展.
地球科学进展,2001,16(2):215-219
|
CSCD被引
21
次
|
|
|
|
|
12.
李家春. 海洋内波与海洋工程.
庆祝郑哲敏先生八十华诞应用力学报告会-应用力学进展论文集,2004:41-45
|
CSCD被引
1
次
|
|
|
|
|
13.
Apel J R. Internal solitons in the ocean and their effect on underwater sound.
The Journal of the Acoustical Society of America,2007,121:695-722
|
CSCD被引
13
次
|
|
|
|
|
14.
Joseph R I. Solitary waves in a finite depth fluid.
Journal of Physics A General Physics,1977,10(12):L225-L227
|
CSCD被引
15
次
|
|
|
|
|
15.
Kubota T. Weakly-nonlinear, long internal gravity waves in stratified fluids of finite depth.
Journal of Hydronautics,1978,12(4):157-165
|
CSCD被引
10
次
|
|
|
|
|
16.
Benjamin. Internal waves of permanent form in fluids of great depth.
Journal of Fluid Mechanics,1967,29(3):559-592
|
CSCD被引
30
次
|
|
|
|
|
17.
Davis R E. Solitary internal waves in deep water.
Journal of Fluid Mechanics,1967,29(3):593-607
|
CSCD被引
16
次
|
|
|
|
|
18.
Ono H. Algebraic solitary waves in stratified fluids.
Journal of the Physical Society of Japan,1975,39(4):1082-1091
|
CSCD被引
26
次
|
|
|
|
|
19.
Matsuno Y. A unified theory of nonlinear wave propagation in twolayer fluid systems.
Journal of the Physical Society of Japan,2007,62(6):1902-1916
|
CSCD被引
1
次
|
|
|
|
|
20.
Choi W. Weakly nonlinear internal waves in a two-fluid system.
Journal of Fluid Mechanics,1996,313:83-103
|
CSCD被引
20
次
|
|
|
|
|
了解气象卫星更多信息，请访问