On the limited memory BFGS method for large scale optimization
Mathematical Programming: Series A and B
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The three-dimensional variational assimilation (3D-Var) is the most commonly used technique currently to generate an analysis that provides better consistent initial conditions for numerical weather prediction (NWP). The Global and Regional Assimilation Prediction System (GRAPES) is a new generation NWP system in China, in which 3D-Var is one of the main components and plays an important role in direct assimilation for non-conventional observations. In this study, the principal theory and serial implementation of GRAPES 3D-Var are introduced firstly, and the details of distributed parallel computing algorithm of GRAPES 3D-Var are discussed, including data partitioning strategies, data communication strategies and stagger parallelization strategies. At last, some parallel experimental results on 16-CPU cluster platform are put forward, and the numerical simulations of the parallelization show that the parallel strategies can be combined to achieve considerable load balancing and good performance.