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三维正压非线性潮汐潮流伴随同化I:数值建模

evelopment of A Three-Dimensional Numerical Barotropic Adjoint Tidal Model I:Numerical Simulation

中文摘要英文摘要

在数学物理反问题的框架下,基于渤海、黄海M2分潮波的数值模拟,本文设计孪生实验研究了三维正压非线性潮汐潮流模型中开边界条件的伴随法反演问题,以验证所建立的伴随模型的有效性和正确性.本文同时讨论了开边界条件的空间分布、初值、观测误差以及观测数量对开边界反演的影响,对此参数估计反问题的适定性进行了初步研究.

Based on the simulation of M2 tide and tidal current in the Bohai and Yellow Seas, twin experiments are carried out to invert the prescribed distributions of open boundary conditions in order to validate the three-dimensional numerical barotropic adjoint tidal model. The inversion has obtained satisfying results and the prescribed distributions have been successfully inverted, which demonstrates the strong ability of the adjoint model. In order to research the ill-posedness of parameter estimation inverse problems, the experiments also discuss the influences of parameter distributions, initial guesses, model errors and data number on the inversion of open boundary conditions.

张继才、吕咸青

水利工程基础科学数学力学

伴随同化开边界潮汐潮流反演

hree-dimensionaladjoint assimilation methodtides and tidal currents

张继才,吕咸青.三维正压非线性潮汐潮流伴随同化I:数值建模[EB/OL].(2009-02-09)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200902-249.点此复制

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