Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (10): 1160-1165.

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GENERALIZED VARIATIONAL DATA ASSIMILATION METHOD AND NUMERICAL EXPERIMENT FOR NON-DIFFERENTIAL SYSTEM

HUANG Si-xun, DU Hua-dong, HAN Wei   

  1. P.O. Box 003, Nanjing 211101, P.R.China
  • Received:2003-01-03 Revised:2004-05-18 Online:2004-10-18 Published:2004-10-18
  • Supported by:

    the National Natural Science Foundation of China(40075014,40175014)

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 (Four-dimensional variational) of non-differential partial differential system with local observations.

Key words: variational data assimilation, non-differential system, adjoint method

2010 MSC Number: 

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