%0 Journal Article %T Four-dimensional variational data assimilation for a limited area model %A Nils Gustafsson %A Xiang-Yu Huang %A Xiaohua Yang %A Kristian Mogensen %J Tellus A %D 2012 %I Co-Action Publishing %R 10.3402/tellusa.v64i0.14985 %X A 4-dimensional variational data assimilation (4D-Var) scheme for the HIgh Resolution Limited Area Model (HIRLAM) forecasting system is described in this article. The innovative approaches to the multi-incremental formulation, the weak digital filter constraint and the semi-Lagrangian time integration are highlighted with some details. The implicit dynamical structure functions are discussed using single observation experiments, and the sensitivity to various parameters of the 4D-Var formulation is illustrated. To assess the meteorological impact of HIRLAM 4D-Var, data assimilation experiments for five periods of 1 month each were performed, using HIRLAM 3D-Var as a reference. It is shown that the HIRLAM 4D-Var consistently out-performs the HIRLAM 3D-Var, in particular for cases with strong mesoscale storm developments. The computational performance of the HIRLAM 4D-Var is also discussed.The review process was handled by Subject Editor Abdel Hannachi %K data assimilation %K analysis %K numerical weather prediction %U http://www.tellusa.net/index.php/tellusa/article/view/14985/pdf_1