Generalized Variational Data Assimilation Method and Numerical Experiment for Non-Differential System

HUANG Si-xun; DU Hua-dong; HAN Wei

Volume 25 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(10): 1061-1066

HUANG Si-xun, DU Hua-dong, HAN Wei. Generalized Variational Data Assimilation Method and Numerical Experiment for Non-Differential System[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1061-1066.

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Generalized Variational Data Assimilation Method and Numerical Experiment for Non-Differential System

P. O. Box 003, Nanjing 211101, P. R. China

Received Date: 2003-01-03
Rev Recd Date: 2004-05-18
Publish Date: 2004-10-15

Abstract

Abstract

The generalized variational data assimilation for non-differential dynamical systems is studied.There is no tangent linear model for non-differential systems and thus the general adjoint model can not be derived in the traditional way.The weak form of the original system was introduced,and then the generalized adjoint model was derived.The generalized variational data assimilation methods were developed for non-differential low dimensional system and non-differential high dimensional system with global and local observations.Furthermore,ideas in inverse problems are introduced to 4DVAR of non-differential partial differential system with local observations.
- variational data assimilation,
- non-differential system,
- adjoint method

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References

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