The application of a fractional steps method for the numerical solution of the shallow water equations Original Research Article

A fractional steps technique is applied for the numerical solution of the shallow water equations. The method has the great advantage of solving the shallow water equations without the iterative steps involved in the multi-dimensional interpolation problems, and without the iteration associated with the intermediate step of solving the Helmholtz equation. The absence of iterative steps in the present technique makes it very suitable for problems in which small time steps and grid sizes are required (as in regional climate modeling), and the simplicity of the method makes it suitable to parallel computer.