An ultra-shallow water storm surge model with quadratically depth-varying eddy viscosity and its application to the numerical modelling of the Bohai Sea storm surges

Based on the ultra-shallow water storm surge theory proposed by Qin and Feng^1] (1975), an ultra-shallow water storm surge model, taking into consideration the effect of the earth's rotation and the quadratically depth-varying eddy viscosity, is developed. Using the model wind stress fields as a guide for representing the effect of wind stress forcing in our model, a numerical investigation of the Bohai Sea wind surge is made. As a better means for solving the mathematical model, the Galerkin finite element technique is employed in numerical solutions. Under the control of the main weather situation, namely, the cold wave combined with the extratropical cyclone, two storm surge processes experienced on the Bohai Sea are simulated numerically. It is found that the experimental results, in the main, are in agreement with the observations.