Estimation of flow field in shallow water region based on ensemble Kalman filter FEM

Abstract

In this study, we present estimation analysis of flow behavior in shallow water region based on the ensemble Kalman filter FEM. The shallow water equation including the advection term is introduced as the governing equation, and the SUPG method is applied to discretize the governing equation in space. By the combination of the ensemble Kalman filter theory and the FEM, the estimation of the state value distribution considering the time history data of observation value is carried out. As the numerical model, the open channel model is employed.