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非传统近似下海洋内波的一类WKB近似解
  • ISSN号：1000-3096
  • 期刊名称：《海洋科学》
  • 时间：0
  • 分类：P731.24[天文地球—海洋科学]
  • 作者机构：[1]中国科学院海洋研究所,山东青岛266071, [2]中国科学院海洋环流与波动重点实验室,山东青岛266071, [3]中国科学院研究生院,北京100039
  • 相关基金：中国科学院知识创新工程重大项目（KZCX1-YW-12）; 国家自然科学基金创新群体项目（40821004）
作者： 刘永军[1,2,3], 宋金宝[1,2], 黄小峰[1,2,3]
关键词： 柯氏力参量, 内波, WKB(Wentzel-Kramers-Brillouin)近似, 标准化, 非传统近似, coriolis parameter, internal waves, WKB（Wentzel-Kramers-Brillouin） approximation, normalization, non-traditional approximation
中文摘要：

在非传统近似（即，包含地转水平分量在内的完整地转效应）条件下，用WKB（Wentzel-Kramers-Brillouin）方法得到了密度连续分层海洋内波的一类WKB近似解。为了检验所得到的WKB近似解的有效性，对WKB解各垂向速度模态与基于三点中心差分格式及QR算法的数值计算结果进行了详细比对，结果表明，当浮频率N（z）是关于深度z的慢变函数时，WKB近似解与数值结果符合良好。另外．还比较和分析了非传统近似与传统近似条件下内波解的差别，结果表明：地转水平分量一般是不能忽略的，对海洋内波的生成、演变及消衰的研究有着非常重要的意义。

英文摘要：

In this paper, a type of WKB（Wentzel-Kramers-Brillouin）approximate analytic solutions was derived by applying the WKB method to the internal waves in continuous density-stratified ocean under the non-traditional approximation, the complete effect of the earth rotation being considered. The vertical velocity modes obtained from the WKB approximate solutions were compared with the numerical results to test the validity of WKB approximate solutions. The study shows that the WKB approximate solutions proposed are consistent with the nu- merical results, when the buoyancy frequency N（z） varies gradually with the ocean depth z. In addition, by comparing the WKB solutions for non-traditional and traditional solutions of internal waves, it is found that the horizantal component of the earth rotation can not be ignored generally. Our results are important to the study of generation, evolution and dissipation of internal waves in the ocean.

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我国典型海域生态系统演变过程与机制
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期刊信息
  • 《海洋科学》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院海洋研究所
  • 主编：侯一筠
  • 地址：青岛南海路7号
  • 邮编：266071
  • 邮箱：dehail@ms.qdio.ac.cn
  • 电话：0532-82898751
  • 国际标准刊号：ISSN：1000-3096
  • 国内统一刊号：ISSN：37-1151/P
  • 邮发代号:2-655
  • 获奖情况:
  • 中国自然科学核心期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国剑桥科学文摘,英国动物学记录,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:21338