海水温度垂直分布预报数据同化的离散伴随算子法

计算物理 ›› 2000, Vol. 17 ›› Issue (5): 553-559.

海水温度垂直分布预报数据同化的离散伴随算子法

何柏荣¹, 马继瑞², 韩桂军², 李冬²

1. 南开大学数学科学学院, 天津 300071;
2. 国家海洋信息中心, 天津 300171

收稿日期:1998-10-12 修回日期:1999-07-05 出版日期:2000-09-25 发布日期:2000-09-25
作者简介:何柏荣(1933~),男,浙江余姚,教授,主要从事计算流体力学的研究.
基金资助:
国家基础研究攀登项目"现代地壳运动和地球动力学研究";国家自然科学基金项目(批准号:49876001)资助

A METHOD OF DISCRETE ADJOINT OPERATOR IN DATA ASSIMILATION FOR THE PREDICTION OF THE VERTICAL DISTRIBUTION OF SEA TEMPERATURE

HE Bai-rong¹, MA Ji-rui², HAN Gui-jun², LI Dong²

1. College of Mathematical Science, Nankai University, Tianjin 300071, P R China;
2. National Marine Data and Information Service, SOA, Tianjin 300171, P R China

Received:1998-10-12 Revised:1999-07-05 Online:2000-09-25 Published:2000-09-25

摘要/Abstract

摘要： 以一维水温模型为例,利用伴随算子法进行海洋观测数据同化,以便给水温的数值预报提供一个较准确的初始场。讨论了离散伴随算子法的思想,最优化过程,计算水温方程和伴随方程的差分格式,并图示描述水温场的初始猜测和同化后的分布。

关键词: 海水温度, 数据同化, 离散伴随算子法

Abstract: To carry out the data assimilation of sea temperature observations the adjoint method is applied, which can provide an accurate initial temperature field for numerical prediction. For simplicity we consider only a one-dimensional sea temperature model, what are discussed in this paper involve, the idea of the adjoint method, the optimal procedure and the finite difference schemes of sea temperature control equation and adjoint equation. Numerical results are also presented for describing the varying sea temperature field.

Key words: sea temperature, data assimilation, discrete adjoint operator method

中图分类号:

P731.3

何柏荣, 马继瑞, 韩桂军, 李冬. 海水温度垂直分布预报数据同化的离散伴随算子法[J]. 计算物理, 2000, 17(5): 553-559.

HE Bai-rong, MA Ji-rui, HAN Gui-jun, LI Dong. A METHOD OF DISCRETE ADJOINT OPERATOR IN DATA ASSIMILATION FOR THE PREDICTION OF THE VERTICAL DISTRIBUTION OF SEA TEMPERATURE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(5): 553-559.