Solving the shallow water problem by central differences and FCT correction

Abstract

The paper proposes an algorithm based on central differences and FCT correction for solving the shallow water problem. The results of numerical testing were compared with known data. The comparison showed that the proposed algorithm has similar accuracy with other methods. A comparison of the speed of the proposed algorithm and a similar one based on the McCormack method is given. The conclusion is made about the superiority in speed over the McCormack method with the same accuracy.