Singular vector for a shallow water model

The atmosphere is a chaotic dynamical system, small errors in the initial condition of an atmospheric model can lead to growing errors in the forecast. In order to reduce uncertainty in the forecast which occur from using only one initial condition from many possible initial conditions, more initial conditions are required. In practice, however, there is only single observation available for the initial condition. In this paper the singular vector has been applied to a single level shallow water model of the atmosphere to generate more initial conditions from one observation