Influence of boundary condition for result of flow field estimation in shallow water region based on Kalman filter FEM

Abstract

In this study, we present numerical examples for estimation of shallow water flow based on the Kalman filter FEM. The shallow water equation is employed as the governing equation, and the Galerkin method using the triangular element and the selective lumping method are applied to discretize the governing equation in space and time, respectively. We investigated difference of numerical results by changing position of the observation points. It was found that high accurate flow field estimation result is obtained in case that the observation points are set to the upstream side in the open channel in comparison with the case that the observation points are set to the downstream side in the open channel. Therefore, inflow boundary condition is introduced to estimation analysis of shallow water flow based on Kalman filter FEM, and examinations of inflow boundary condition on the estimation accuracy are carried out.