用伴随法优化非线性潮汐模型的开边界条件Ⅰ.伴随方程的建立及“孪生”数值试验  

Optimizing open boundary conditions of nonlinear tidal model using ad joint method Ⅰ.The establishment of ad joint model and twin-experiment

作　　者：韩桂军[1] 何柏荣[2] 马继瑞[1] 刘克修[1] 李冬[1] 

机构地区：[1]国家海洋信息中心 [2]南开大学数学科学学院,天津300071

出　　处：《海洋学报》2000年第6期27-33,共7页

基　　金：国家自然科学基金项目!(批准号:49876001);国家基础研究"九五"攀登项目;国家海洋局青年海洋科技基金项目

摘　　要：本研究采用基于最优控制理论的伴随法，把观测资料同化到陆架海域潮汐 数值模型中去，优化开边界条件，提高数值预报的精度．潮汐模型的控制方程为考虑 平流项、非线性底摩擦和侧向涡动粘性项的非线性浅水方程组；采用Ｌａｇｒａｎｇｅ乘子 法建立了伴随模型．研究分两部分：第一部分即本文，建立非线性浅水方程模型的伴 随方程、给出目标函数的梯度，并实现“孪生”数值试验；第二部分另文给出．In order to improve the prediction of numerical tidal model in continental shelf, the open boundary conditions are optimized by assimilating the observed data into the model in which the adjoint method, based on optimal control theory, is used. The nonlinear shallow water equations are considered in which horizontal kinematic nonlinearities, nonlinear bottom friction and horizontal eddy diffusion are included. The adjoint model is obtained by using Leqrange multipliers. This study contains two parts: Part I (this paper)-the establishment of the adjoint model and twin-experiment, and part Ⅱ (another paper)-the numerical results which are incorporated the data from tide stations with/without TOPEX/POSEIDON altimeter data for optimizing the open boundary conditions of the model.

关 键 词：伴随方程 潮汐数值模型 非线性 开边界 伴随法 

分 类 号：P731.23[天文地球—海洋科学]